U.S. patent number 3,614,401 [Application Number 04/812,461] was granted by the patent office on 1971-10-19 for redundant system.
This patent grant is currently assigned to Rosemount Engineering Company. Invention is credited to Tenny D. Lode.
| United States Patent |
3,614,401 |
| Lode |
October 19, 1971 |
| **Please see images for:
( Certificate of Correction ) ** |
REDUNDANT SYSTEM
Abstract
This disclosure shows several forms of multiple channel
redundant signal transmission systems which are capable of
continued operation in spite of failures of individual transmission
elements or channel elements. The redundancy is applied to a
multiple channel system as a whole, rather than to individual
channels. For example, one additional channel may be used as a
redundant backup for two, three or more individual channels to
provide continued operation of all channels in spite of a failure
in any single channel including the additional channel. The
approach is believed to offer significant economics over the more
conventional approach of providing separate redundant or backup
channels for each individual signal channel.
|
Inventors: |
Lode; Tenny D. (Madison,
WI) |
|
Assignee: |
Rosemount Engineering Company
(Eden Prairie, MN)
|
| Family
ID: |
25209633 |
| Appl.
No.: |
04/812,461 |
| Filed: |
April 1, 1969 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
Issue Date |
|
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466928 |
Jun 25, 1965 |
|
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| Current U.S.
Class: |
244/79; 318/564;
361/1; 361/86; 327/526; 244/194; 714/797; 340/2.9 |
| Current CPC
Class: |
G05D
1/0077 (20130101) |
| Current International
Class: |
G05D
1/00 (20060101); B64c 013/00 (); G08c 025/00 ();
G06f 011/00 () |
| Field of
Search: |
;340/146.1,147SC
;235/153 ;325/56 ;307/204,219 ;318/564 ;244/77 |
References Cited
[Referenced By]
U.S. Patent Documents
Primary Examiner: Morrison; Malcolm A.
Assistant Examiner: Atkinson; Charles E.
Parent Case Text
This application is a continuation of my copending application Ser.
No. 466,928, filed June 25, 1965 for Redundant System, now
abandoned.
Claims
What is claimed is:
1. In a system for transmitting a plurality of signals each from a
separate input means to a separate output means and having a
plurality of independent signal transmission means, means
intercoupling said signal transmission means so as to continuously
provide continued usable signals at each of said output means upon
failure of one of said signal transmission means, the improvement
comprising at least two first signal transmission means each
coupled between at least one separate input means and one separate
output means, at least one second signal transmission means, the
total number of said signal transmission means being at least one
more than the signals to be transmitted, means continuously
coupling at least one second signal transmission means to more than
one input means and to more than one output means, means in each of
said first signal transmission means to normally maintain the
signal level at the output means to which the first signal
transmission means is coupled at a preselected relationship to the
signal level at the input means for the same first signal
transmission means, and means in each of the second signal
transmission means continuously coupled to the respective output
means and normally operative to maintain a combination of the
signals at the output means to which the second signal transmission
means is coupled at a preselected relationship to the signals at
the input means to which the same second signal transmission means
is continuously coupled, whereby failure of one of said signal
transmission means will not cause a change in the relationship of
signals between each input means and its corresponding output
means.
2. The combination as specified in claim 1 wherein said input means
and output means comprise input terminals and output terminals,
respectively, and wherein each of said transmission paths includes
signal-amplifying means.
3. The combination as specified in claim 2 wherein said
signal-amplifying means each have amplifying inputs, and said means
to maintain the signal level at the output terminals at a
preselected relationship to the signal level at the corresponding
input terminals comprise feedback means connecting the respective
output terminals to the amplifying input of the signal-amplifying
means forming part of the signal transmission means connected to
that respective output terminal.
4. The combination as specified in claim 2 wherein said signals are
electric signals, and wherein said signal transmission means
include impedance means for restricting the flow of current between
each of said signal-amplifying means and its connected output
terminals.
5. The system of claim 1 wherein the total number of signal
transmission paths is at least two more than the signals to be
transmitted, and where there are at least two second signal
transmission means, each of said input means being coupled to one
of said first signal transmission means, and to two of said second
signal transmission means, and each of said outputs being coupled
to one of said first signal transmission means and the same second
signal transmission means to which the corresponding input means is
connected, and each of said second signal transmission means being
connected between at least two input means and at least two output
means.
6. The system as specified in claim 1 wherein the input means
comprise gyroscopic sensors developing outputs in response to
signals from motion of an aircraft with respect to more than one of
its axes and wherein the output means comprise control surfaces of
said aircraft, the position of said control surfaces resulting in
motion of the aircraft with respect to said axes.
7. The system of claim 1 wherein the signals at the input means
comprise force signals resulting from motion of an aircraft with
respect to more than one of said aircraft's axes.
8. The system of claim 1 wherein said first signal transmission
means include analog to digital converters, and wherein there are
two second signal transmission means each including means to mix
the signals from the input means in a different algebraic manner
than the other, and each including an analog to digital
converter.
9. Means for determining errors in signals after transmission of
said signals through a plurality of independent signal transmission
means, including at least two first signal transmission means each
coupled to separate input means, two second signal transmission
means, the total number of said plurality of independent signal
transmission means being at least two more than the signals to be
transmitted, means coupling each of said second signal transmission
means to more than one input means, separate means in each of said
second signal transmission means combining the signals from the
input means to which it is connected in a different algebraic
manner from the other second signal transmission means, computer
means coupled to each of said signal transmission means to receive
signals from said transmission means, and means to compare each of
the signals received by the computer for consistency with other
signals received by the computer for consistency with other signals
received from said transmission means to determine if one of the
signal transmission means is transmitting an erroneous signal.
10. The method of providing a redundant analog to digital converter
system wherein separate analog signals are passed from independent
input means through separate analog to digital converters and then
to digital computer means, comprising the steps of passing a
plurality of independent signals through separate analog to digital
converters into a digital computer, combining said plurality of
signals in a first algebraic manner and passing the first combined
signal through a separate analog to digital converter to said
digital computer, combining said plurality of signals in a second
different algebraic manner than the first algebraic manner of
combining of signals, and passing said second combined signals
through a separate analog to digital converter to said computer,
programming said computer to analyze the consistency of the signals
received from each of the analog to digital converters with respect
to signals received from other analog to digital converters to
detect erroneous signal outputs from any one of said
converters.
11. The method of claim 10 wherein there are two input signals, and
said first mixing step is adding said signals, and said second
mixing step is subtracting said signals before they are passed
through their respective analog to digital converters.
12. The combination as specified in claim 11 wherein the
consistency analysis is provided by computer programming analyzing
partial sums of the signals from the outputs of the separate analog
to digital converters.
13. The method of providing for the transmission of signals from
separate input means to corresponding separate output means
including the steps of transmitting a first signal from a first
input means to a first output means through a first transmission
means, transmitting a second signal from a second input means to a
second output means through a second signal transmission means,
continuously coupling a third signal transmission means to said
first and second input means and to said first and second output
means to thereby transmit a combination signal from said first and
second input means through said third signal transmission means,
continuously maintaining the signal at said first output means
proportional to the first signal at said first input means and
continuously maintaining the signal at said second output means
proportional to the second signal at said second input means
regardless of failure of any one of the signal transmission
means.
14. The method of providing for redundant control of a plurality of
signals from separate input means to separate output means
comprising the steps of transmitting each of the signals from a
separate one of the input means to a separate one of the output
means through separate first transmission, means, normally
maintaining the signals at each output means at a preselected ratio
to its corresponding input signal at said input means through the
first transmission means, combining the signals between at least
two input means and normally continuously passing the combined
signal through at least one second transmission means to the
corresponding output means to form a combined signal at the
corresponding output means, and normally continuously maintaining
the combined signal at the corresponding output means at a
preselected ratio to the combined signal at the input means coupled
to the second transmission means whereby failure of one of one of
the first or second transmission means does not substantially
affect the relationship of signals between each output means and
its corresponding input means.
15. The method of providing redundant transmission of a plurality N
of identifiable signals from a separate input means to a separate
output means for each respective signal through signal transmission
means in spite of a zero-output-type failure of a signal
transmission means, passing each of said signals through more than
one of said signal transmission means from the separate input means
to the separate output means for that signal, normally maintaining
the signals at each separate output means at a preselected
relationship to the corresponding input signal at the separate
input means for that signal, normally continuously passing a
combination signal comprised of more than one of said signals from
more than one separate input means to more than one corresponding
separate output means for said signals through at least one of said
signal transmission means, and continuously maintaining the
combination of signals at the said more than one separate output
means at a preselected relationship to the combination signals at
the corresponding more than one separate input means whereby
failure of one of said signal transmission means does not
substantially affect the relationship of the identifiable signal
between each output means and its corresponding input means.
16. A method of providing redundant transmission of a plurality N
of identifiable signals from a separate input means to a separate
output means for each signal through signal transmission means in
spite of a worst-case-type failure of an individual transmission
means, comprising the steps of providing more than N plus 1 signal
transmission means, each coupled between an input means and its
corresponding output means, passing each of said plurality of
signals through more than two of said signal transmission means,
each of the signal transmission means passing said signals being
operably coupled between the separate input means and separate
output means for each of the signals it passes, and passing a
combination signal corresponding to more than one of said signals
through at least two of said transmission means from more than one
of the separate input means to more than one respective separate
output means for said signals, and normally maintaining a
preselected relationship for each of said signals between the
separate output means and the separate input means for each of said
signals to which each of the signal transmission means is coupled,
whereby failure of one of the signal transmission means does not
substantially affect the relationship of the signals between each
separate output means and its corresponding separate input
means.
17. In a control device having signal transmission means for
transmitting a plurality of separately identifiable signals from
separate signal input means to separate signal output means to
provide continued usable identifiable signals at each of the
separate output means in the case of failure of any one
transmission means, thereby to provide a redundant control, the
improvement comprising a plurality of signal transmission means, at
least one more in number than the plurality of signals to be
transmitted, each transmission means being continuously coupled to
transmit at least one signal from at least one input means to a
corresponding output means, at least one of said signal
transmission means transmitting only a combination of said
identifiable signals and being continuously coupled to the input
means and output means for each of the identifiable signals forming
the combination, said signal transmission means each including
means to maintain the relationship of the signals each of the
separate output means to which that transmission means is
continuously coupled at a desired relationship to the signal at the
respective separate input means continuously coupled to the same
transmission means.
18. In a redundant control system for maintaining separate usable
signals at a plurality of signal output means, including separate
signal input means for each of a plurality of separate signals,
first and second signal transmission means to transmit said signals
to respective separate output means for each of said separate
signals, there being at least one more transmission means than
signals, the respective separate input means for each of said
signals being continuously coupled to the respective output means
through at least one first and one second signal transmission
means, each of said signal transmission means being continuously
coupled to the input means of more than one separate signal and
being continuously coupled to the output means for the same
signals, each of said signal transmission means including means to
normally maintain a desired relationship between the separate
signals at each output means to which that transmission means is
continuously coupled and each corresponding input means to which
the same transmission means is continuously coupled, to thereby
automatically provide a continued separate signal at each output
means in case of failure of one of the signal transmission
means.
19. The control system of claim 18 wherein there are two signals
and two first signal transmission means comprising first rods
transmitting mechanical signals, and said second transmission means
comprises a rod coupled to both of the first rods to transmit an
average of the mechanical signals transmitted by said first rods
from first to second ends thereof.
Description
This invention relates to redundant systems which achieve high
reliability through the duplication and/or paralleling of
functions, subsystems and/or components within a system. More
particularly, it relates to methods and means whereby the
reliability advantages of redundancy may be realized with less
paralleling and less equipment than would be required with
conventional redundancy techniques.
It is often important to provide system reliabilities which are
higher than the probable reliabilities of certain components or
subsystems within the system. For example, the reliable operation
of radio communication, instrumentation, and flight control systems
is of obvious extreme importance for the safety of an aircraft or
space vehicle and its crew. Malfunctions of industrial process
control systems may cause economic losses far in excess of the
value of the process control equipment.
Redundant systems achieve high reliability by duplicating or
paralleling transmission channels, components, subsystems and/or
functions of a system. In the event of failure of a particular
section of the system, the functions of that section are performed
at least in part by parallel or duplicate sections of the system.
Because of this duplicating and/or paralleling, redundant systems
will normally require a larger number of components than
corresponding nonredundant systems.
Multiengine aircraft and the use of several radio sets at a
communication center are familiar examples of the use of redundancy
to achieve high reliability. Most multiengine aircraft can remain
in flight after losing power from one or more engines.
Communication through a center with several radio sets may be
delayed but will not be entirely cut off by failure of an
individual radio set. However, in these two examples, there is the
implied assumption that a human operator will notice a malfunction
and take appropriate corrective action. In the multiengine aircraft
case, it is generally necessary to feather the dead propeller or
otherwise shut down a dead engine. In the radio communications
center example, the operator notices the malfunction and thereafter
routes all messages through the functioning equipment. The present
invention is concerned primarily with systems which compensate or
adapt for internal failures without external monitoring and/or
correction.
Before going further, it is convenient to define two types of
failures, namely, zero-output and worst-case-type failures. In a
zero-output-type failure an amplifier, motor, or other component or
subsystem fails in such a manner that its output is some small
value equal to or near zero. The zero output might be zero voltage,
zero current, zero torque or zero motion, depending upon the
particular device. Reliable operation in the presence of a
zero-output-type failure may normally be achieved through the use
of one additional duplicate or parallel channel. For example,
various types of electromechanical servosystems have been built
which employ two essentially duplicate parallel channels. A
zero-output-type failure of one channel does not disable the entire
system, as the necessary forces and motions are provided by the
remaining channel. Thus, system reliability in the presence of
possible zero-output-type failures may be achieved at the penalty
of approximately doubling the complexity of the system.
In a worst-case-type failure, the output from a malfunctioning
amplifier, motor or other system element may have any possible
value including a maximum amplitude signal of opposite polarity
from that of the desired signal. The simple duplication of
channels, components, subsystems or functions does not provide
reliable operation in the presence of worst-case-type failures. For
example, in the case of an electromechanical servosystem, one
channel may fail so as to generate a maximum negative force. A
parallel channel providing a maximum positive force may reduce the
sum or average of the two output signals to zero, but will be
unable to generate a net output signal of positive value. Several
forms of triple redundant systems have been developed to provide
reliability in the presence of possible worst-case-type failures.
In one form of redundant feedback control system, the system output
is taken as a sum or average of the outputs of three similar
parallel subsystems. In the event of a worst-case-type failure of
one channel, the remaining two channels can compensate for the
erroneous output of the malfunctioning channel and still provide a
correct output signal of either polarity over a limited range. An
alternate approach is to use two channels plus a monitor to
transfer control from one channel to the other. If either channel
malfunctions, the monitor will transfer control to the other
channel. If the monitor should malfunction, the system will
continue to operate, as it will make no difference which of the two
properly functioning channels is selected. If the monitor is
assumed to have a complexity comparable to that of one channel, the
monitor system is comparable in complexity to a triple redundant
system. Thus, reliability in the presence of possible
worst-case-type failures may be achieved at the penalty of
approximately tripling the complexity of the system.
An object of this invention is to provide methods and means for the
design, construction, and operation of redundant systems
incorporating parallel transmission paths so that failures or
malfunctions of individual transmission channels, components,
subsystems and/or system functions will not entirely disable the
system. A further object is to allow the design, construction, and
operation of such redundant systems with a lesser penalty of
additional parallel or duplicate equipment than required with
conventional techniques.
In a particular form of the present invention, a redundant system
of three amplifiers is arranged for the amplification of two
independent voltage signals. A first amplifier drives a first
output terminal so that its voltage tends to correspond to a first
input voltage; a second amplifier drives a second output terminal
so that its voltage tends to correspond to a second input voltage;
and a third amplifier drives both the first and second output
terminals so that the average of their voltages tends to correspond
to the average of the two input voltages. Such a redundant system
will continue to operate and amplify both voltage signals in spite
of a zero-output-type failure of any one of the three
amplifiers.
This system is illustrated in FIG. 1 of the drawings and will be
subsequently described in greater detail.
In the drawings:
FIG. 1 is a schematic illustration of a first form of the invention
in which a redundant system of three feedback amplifiers is
arranged for the amplification of two independent voltage signals
in spite of a zero-output-type failure of any one amplifier;
FIG. 2 is a schematic illustration of a second form of the
invention generally resembling the system of FIG. 1 but showing a
system in which the individual system signal transmission channels
are of distinctly different dynamic characteristics;
FIG. 3 is a schematic illustration of a third form of the invention
in which a redundant system of six feedback amplifiers is arranged
for the amplification of three independent voltage signals in spite
of a worst-case-type failure of any one amplifier;
FIG. 4 is a diagram illustrating a fourth form of the invention
arranged for the transmission of two independent mechanical signals
in spite of a disconnection of any one mechanical transmission
link;
FIG. 5 is a pictorial and schematic illustration of a fifth form of
the invention arranged for the damping of pitch and yaw motions of
an aircraft in spite of a zero-output-type failure of any one
component or subsystem; and
FIG. 6 is a schematic illustration of a sixth form of the invention
arranged for the accurate conversion of electrical signals from
analog into digital form in spite of a worst-case-type failure of
any one converter or other circuit element.
Referring now to the drawings, FIG. 1 includes operational
amplifiers 11, 12 and 13. The term "operational amplifier " is used
in this specification to describe amplifiers which have a large
negative gain. The frequency response may or may not extend down to
and include zero frequency DC. Such amplifiers are well known and
in use in applications such as analog computing, simulation and
control. They are referred to as operational amplifiers because
they may perform operations such as addition, subtraction,
integration and differentiation when suitable passive impedances
are connected into their input, output and/or feedback paths. The
output of amplifier 11 on line 14 connects through resistor 15 and
line 16 to output terminal 17. Voltmeter 18 is connected between
output terminal 17 and ground 19. Input terminal 20 connects
through resistor 21 and line 22 to the input of amplifier 11.
Resistor 23 connects from line 16 to line 22. Similarly, the output
of amplifier 13 on line 24 connects through resistor 25 and line 26
to output terminal 27. Voltmeter 28 is connected between output
terminal 27 and ground 29. Input terminal 30 connects through
resistor 31 and line 32 to the input of amplifier 13. Resistor 33
connects from line 26 to line 32. The output of amplifier 12 on
line 34 connects through resistor 35 and line 36 to line 16 and
output terminal 17. The output of amplifier 12 also connects from
line 34 through resistor 37 and line 38 to line 26 and output
terminal 27. Resistor 39 connects from input terminal 20 to line 40
and the input of amplifier 12. Resistor 41 connects from input
terminal 30 to line 40. Resistor 42 connects from line 36 to line
40, and resistor 43 connects from line 38 to line 40. Arm 44 of
three-position, rotary switch 45 connects to a first end of
potentiometer 46, the second end of which connects to ground 47.
The variable arm of potentiometer 46 connects to input terminal 20.
The three stationary contacts of switch 45 are identified as
contacts 48, 49 and 50. Similarly, arm 51 of three-position, rotary
switch 52 connects to a first side of potentiometer 53, the second
side of which connects to ground 54. The variable arm of
potentiometer 53 connects to input terminal 30. The three
stationary contacts of switch 52 are identified as contacts 55, 56
and 57. Line 58 connects from contacts 48 and 55 to the positive
side of battery 59. The negative side of battery 59 connects to
ground 60 and to the positive side of battery 61. The negative side
of battery 61 connects through line 62 to contacts 50 and 57.
The circuit of FIG. 1 is essentially that of a model which was
constructed to demonstrate a first form of the invention. The
voltage sources and voltmeters shown in FIG. 1 represent the
voltage sources and voltage-measuring devices used in the model. It
is evident that a wide variety of signal sources and/or load
devices may be used with such systems. In the model, rectifier-type
power supplies were used in place of batteries 59 and 61 to furnish
positive and negative voltages of essentially 25 volts' magnitude.
By manipulation of switches 45 and 52 and potentiometers 46 and 53,
the voltages on input terminals 20 and 30 could be independently
adjusted to any desired values not exceeding 25 volts in magnitude.
Amplifiers 11, 12 and 13 were high-gain inverting amplifiers of the
type used in analog computing and simulation circuits, and were
capable of providing output voltages of either polarity and of
magnitudes up to slightly more than 100 volts. Resistors 21, 31,
39, and 41 were each 1 megohm; resistors 15, 25, 35 and 37 were
each 100,000 ohms; and resistors 23, 33, 42, and 43 were each 1
megohm.
In examining the operation of the circuit of FIG. 1 let us first
ignore amplifier 12 and its associated circuit elements. A positive
voltage on input terminal 20 will tend to drive the voltage on line
22 in a positive direction. A positive signal on line 22 will cause
amplifier 11 to generate a large negative voltage on line 14,
thereby transmitting a negative signal to line 16 and output
terminal 17. The negative signal on line 16 will be fed back
through resistor 23 thereby reducing the positive voltage on line
22. Operational amplifiers typically have gains of the order of
several thousand or higher. Hence, we may assume that the voltage
on line 22 remains essentially zero while the output voltage of
amplifier 11 on line 14 varies through its full range. The result
will be that line 16 and output terminal 17 will be driven by
amplifier 11 so that the voltage on terminal 17 is of equal
magnitude but opposite polarity to the voltage on terminal 20. If
resistors 21 and 23 were not equal, the magnitudes of the voltages
on terminals 20 and 17 would be of a different ratio. Again
neglecting the presence of amplifier 12 and its associated circuit
elements, amplifier 13 will similarly tend to drive output terminal
27 to a voltage which is of equal magnitude but opposite polarity
to the voltage on input terminal 30.
Now let us consider the effect of amplifier 12 and its associated
circuit elements. The input to amplifier 12 through resistors 39
and 41 will be essentially an average of the voltages on input
terminals 20 and 30. The output of amplifier 12 is connected
equally to both of output terminals 17 and 27. The feedback
connections through resistors 42 and 43 supply a feedback signal
which is essentially an average of the voltages on terminals 17 and
27. Hence, amplifier 12 will operate as a feedback amplifier which
tends to drive output terminals 17 and 27 so that the average of
their voltages is of equal magnitude but opposite polarity to the
average of the voltages on input terminals 20 and 30.
With all three of amplifiers 11, 12 and 13 operating, the effect of
an individual amplifier may be viewed as tending to drive one or
more output terminals so as to achieve a particular condition.
Amplifier 11 tends to drive output terminal 17 so that its voltage
is equal and opposite to the voltage on terminal 20. Amplifier 13
tends to drive terminal 27 so that its voltage is equal and
opposite to the voltage on terminal 30. Amplifier 12 tends to drive
both terminals 17 and 27 so that the average of their voltages is
equal and opposite to the average of the voltages on terminals 20
and 30. Since these three conditions are consistent, the overall
result of the operation of all three amplifiers will be to maintain
an equal magnitude but opposite polarity relationship between the
voltages on terminals 17 and 20, and between the voltages on
terminals 27 and 30.
Now let us consider a zero-output-type failure of one of the
amplifiers of FIG. 1. A zero-output-type failure of amplifier 12
will leave amplifiers 11 and 13 functioning properly. Under these
conditions amplifier 11 will drive output terminal 17 to the proper
voltage, and amplifier 13 will drive output terminal 27 to the
proper voltage. Hence, the system of FIG. 1 will continue to
function in spite of a zero-output-type failure of amplifier 12.
With a zero-output-type failure of amplifier 13, amplifier 11 will
drive output terminal 17 to the proper voltage. Amplifier 12 will
drive output terminals 17 and 27 so that their average voltage is
of the proper value. Since both the voltage on terminal 17 and the
average of the voltages on terminals 17 and 27 will be of the
proper value, it follows that the voltage on terminal 27 must be of
the proper value. Hence, the system of FIG. 1 will continue to
function in spite of a zero-output-type failure of amplifier 13.
Because of the circuit symmetry the same reasoning may be used to
show that the system will continue to function in spite of a
zero-output-type failure of amplifier 11.
Thus, the system of FIG. 1 is capable of continued proper operation
in spite of a zero-output-type failure of any one of amplifiers 11,
12 and 13. A more conventional approach to redundancy for reliable
operation in the presence of zero-output-type failures would have
required two amplifiers per individual voltage signal or a total of
four amplifiers. An advantage of the system shown in FIG. 1 is that
it achieves the same kind of immunity to zero-output-type amplifier
failures with only three amplifiers. To generalize these
statements, conventional paralleling or duplication redundancy
requires a minimum of 2N subsystems or signal transmission paths
for immunity to zero-output-type failures, where N is the number of
independent signals. A system such as that shown in FIG. 1 requires
a minimum of N+1 subsystems or signal transmission paths. For a
single channel system, 2N is equal to N+1 and there is no
particular advantage in the method shown in FIG. 1. However, for
the control or transmission of two or more independent signals,
techniques such as those shown in FIG. 1 may offer significant
economies and other advantages.
It may be noted that in redundant systems such as the system of
FIG. 1, a particular combination of system output voltages does not
imply a unique combination of individual amplifier output voltages.
For example, in the circuit of FIG. 1, zero output voltages on
terminals 17 and 27 would result form zero amplifier output
voltages on lines 14, 24 and 34. However, amplifier outputs of +10
volts on lines 14 and 24, and -10 volts on line 34, would also
result in zero system output voltages on terminals 17 and 27.
Hence, the combination of amplifier output voltages required to
generate a particular combination of system output voltages is by
no means unique. A similar indeterminacy exists for other output
voltage combinations and for other redundant systems such as those
described subsequently in this specification.
Reference is now made to FIG. 2 which is a schematic illustration
of a second form of the invention arranged for the redundant
amplification of three independent voltage signals and providing
distinctly different dynamic characteristics in the three
individual channels. FIG. 2 includes operational amplifiers 71, 72,
73 and 74. Input terminal 75 connects through resistor 76 to line
77 and the input of amplifier 71. The output of amplifier 71 on
line 78 connects through resistor 79 and line 80 to output terminal
81. Resistor 82 connects from line 80 to line 77. Input terminal 83
connects through resistor 84 to line 85 and the input of amplifier
72. The output of amplifier 72 on line 86 connects through resistor
87 and line 88 to output terminal 89. Resistor 90 connects from
line 88 to line 85. Input terminal 91 connects through resistor 92
to line 93 and the input of amplifier 73. The output of amplifier
73 on line 94 connects through resistor 95 and line 96 to output
terminal 97. Resistor 98 and capacitor 99 connect in parallel from
line 96 to line 93. Resistor 100 connects from input terminal 75 to
line 103 and the input of amplifier 74. Similarly, resistor 101
connects from input terminal 83 to line 103, and resistor 102
connects from input terminal 91 to line 103. The output of
amplifier 74 on line 104 connects through resistor 105 and line 108
to line 80 and output terminal 81. Line 104 similarly connects
through resistor 106 and line 109 to line 88 and output terminal
89, and through resistor 107 and line 110 to line 96 and output
terminal 97. Resistors 111 and 112 connect from line 108 and 109
respectively, to line 103. Resistor 113 and capacitor 114 connect
in parallel from line 110 to line 103.
The system of FIG. 2 generally resembles the system of FIG. 1
except for the addition of a third channel of different dynamic
characteristics. For convenience, voltage sources and load circuits
such as shown in FIG. 1 are not specifically shown in FIG. 2. In an
experimental model of the system of FIG. 2, resistors 76, 84, 92,
100, 101, and 102 were of 1 megohm each; resistors 82, 90, 98, 111,
112 and 113 were of 1 megohm each; and resistors 79, 87, 95, 105,
106 and 107 were of 100,000 ohms each. Capacitors 99 and 114 were
1.0 microfarad each.
If we assume that the response time of amplifiers 71, 72, 73 and 74
is short with respect to the rate of variation of the input
signals, the output voltages on terminals 81 and 89 will follow the
input voltages on terminals 75 and 83 with no significant time lag.
However, the feedback path around amplifier 73 is such as to give
that channel distinctly different dynamic characteristics.
Amplifier 73 will tend to drive line 96 and output terminal 97 such
that the amplifier input voltage on line 93 remains at a small
value. Since operational amplifiers are normally
high-input-impedance devices, this implies that the sum of the
currents flowing into line 93 through resistors 92 and 98 and
capacitor 99 must be essentially zero. The current through resistor
92 will be proportional to the input voltage on terminal 91. The
total feedback current will be a sum of a feedback current through
resistor 98 proportional to the voltage on line 96 and a current
through capacitor 99 proportional to the time rate of change of the
voltage on line 96. Thus, the equilibrium voltage on line 96 plus a
quantity proportional to its rate of change will be of equal
magnitude and opposite polarity to the input voltage on terminal
91. The response of the voltage on terminal 97 to a step change in
the voltage on terminal 91 will be an exponential function of time
which will approach a limiting value of equal magnitude and
opposite polarity to the voltage on terminal 91. With the values
stated for the experimental model, the time constant of this
exponential function will be 1 second.
When the system of FIG. 2 is placed in operation, amplifier 71 will
tend to drive output terminal 81 to a voltage equal to and opposite
the voltage on terminal 75. Amplifier 72 will similarly tend to
drive output terminal 89 to a voltage equal to and opposite the
voltage on input terminal 83. Amplifier 73 will tend to drive the
voltage on output terminal 97 so that the sum of that voltage and
its time rate of change will be equal to and opposite the voltage
on input terminal 91. Amplifier 74 will simultaneously tend to
drive output terminals 81, 89 and 97 such that the sum of the three
output voltages on output terminals 81, 89 and 97 and the time rate
of change of the voltage on terminal 97 is equal to and opposite
the sum of the input voltages on terminals 75, 83 and 91. Following
the reasoning applied to the system of FIG. 1, it may be seen that
the system of FIG. 2 will continue to operate properly in spite of
a zero-output-type failure of any one of amplifiers 71, 72, 73 and
74.
It is noteworthy that this redundant capability is achieved with
only four amplifiers for three independent voltage signals and that
the different dynamic characteristics of the channels are preserved
in spite of zero-output-type amplifier failures.
Reference is now made to FIG. 3 which is a schematic illustration
of a third form of the invention arranged for the amplification of
three independent voltage signals in spite of a worst-case-type
failure of any one of the system amplifiers. FIG. 3 includes
operational amplifiers 121, 122, 123, 124, 125 and 126. Input
terminal 127 connects through resistor 128 to line 129 and the
input of amplifier 121. The output of amplifier 121 on line 130
connects through resistor 131 to line 132 and output terminal 133.
Resistor 134 connects from line 132 to line 129. Input terminal 135
connects through resistor 136 to line 137 and the input of
amplifier 123. The output of amplifier 123 on line 138 connects
through resistor 139 and line 140 to output terminal 141. Resistor
142 connects from line 140 to line 137. Input terminal 143 connects
through resistor 144 to line 145 and the input of amplifier 125.
The output of amplifier 125 on line 146 connects through resistor
147 and line 148 to output terminal 149. Resistor 150 connects from
line 148 to line 145. Resistor 151 connects from input terminal 127
to line 152 and the input of amplifier 122. Resistor 153 connects
from input terminal 135 to line 152. The output of amplifier 122 on
line 154 connects through resistor 155 to line 132 and output
terminal 133, and through resistor 156 to line 140 and output
terminal 141. Resistor 157 connects from line 132 to line 152, and
resistor 158 connects from line 140 to line 152. Resistor 159
connects from input terminal 135 to line 160 and the input of
amplifier 124. Resistor 161 connects from input terminal 143 to
line 160. The output of amplifier 124 on line 162 connects through
resistor 163 to line 140 and output terminal 141, and through
resistor 164 to line 148 and output terminal 149. Resistor 165
connects from line 140 to line 160, and resistor 166 connects from
line 148 to line 160. Resistor 167 connects from input terminal 143
to line 168 and the input of amplifier 126. Resistor 169 connects
from input terminal 127 to line 168. The output of amplifier 126 on
line 170 connects through resistor 171 to line 148 and output
terminal 149, and through resistor 172 to line 132 and output
terminal 133. Resistor 173 connects from line 148 to line 168, and
resistor 174 connects from line 132 to line 168.
In a representative circuit constructed along the lines of FIG. 3,
resistors 128, 151, 153, 136, 159, 161, 144, 167 and 169 may be of
1 megohm each; resistors 134, 157, 158, 142, 165, 166, 150, 173 and
174 may be of 1 megohm each; resistors 131, 139 and 147 may be of
100,000 ohms each; and resistors 155, 156, 163, 164, 171 and 172
may be of 140,000 ohms each.
As shown previously, the systems of FIGS. 1 and 2 will continue to
operate in spite of a zero-output-type failure of any one
amplifier. The system of FIG. 3 will continue to operate in spite
of a worst-case-type failure of any one amplifier. Hence, the
system of FIG. 3 will also continue to operate in spite of a zero
output or other less than worst case failure of any one amplifier.
The system will also continue to operate in spite of an open
circuit, short circuit, or change of value of any one circuit
resistor.
In analyzing the operation of the system of FIG. 3, it should be
remembered that a particular set of system output voltages does not
imply a unique set of amplifier output voltages. It is convenient
to describe the operation of the system in terms of amplifier
output voltages which will produce a desired set of system output
voltages. However, these amplifier output voltages may or may not
be the actual values which would be measured in a working model. In
operation, amplifier 121 will tend to drive output terminal 133 so
that its voltage is equal and opposite to the voltage on input
terminal 127. Amplifiers 123 and 125 will similarly tend to drive
output terminals 141 and 149 so that their voltages are equal and
opposite to the input voltages on terminals 135 and 143
respectively. Amplifier 122 tends to drive both output terminals
133 and 141 so that the average of their voltages is equal and
opposite to the average of the voltages on input terminals 127 and
135. Similarly, amplifier 124 drives output terminals 141 and 149,
and amplifier 126 drives output terminals 133 and 149. It may be
noted that the system of FIG. 3 has a triple symmetry. Each of the
three independent input signals passes through one amplifier whose
function is to amplify only that particular signal. For example,
the signal from input terminal 127, and only that input signal,
passes through amplifier 121. In addition, each of the three
combinations of two input signals passes through an amplifier
associated with that particular pair of input signals. For example,
signals from input terminals 127 and 135 pass through amplifier
122.
With all six amplifiers functioning properly, the system of FIG. 3
will operate as a three-channel amplifier system. A
zero-output-type failure of one or more of amplifiers 122, 124
and/or 126 will not cause system failure, as the set of amplifiers
121, 123 and 125 form a simple nonredundant amplifier system which
will continue to operate as desired.
A zero output failure of amplifier 121 will not directly affect the
voltages on output terminals 141 and 149. With the resistor values
previously stated, and no external current load, the output voltage
on terminal 133 will be 0.37 times the voltage on line 130 plus
0.26 times the voltage on line 154 plus 0.26 times the voltage on
line 170. Now let us assume that we wish to generate an output of
+10 volts on terminal 133 in spite of a zero output failure of
amplifier 121. One combination of amplifier output voltages which
would generate this system output would be +19.2 volts from each of
amplifiers 122 and 126, -19.2 volts from amplifier 124 and zero
volts from amplifiers 121, 123 and 125. The mixing of the outputs
of amplifiers 122 and 126 would result in the desired +10-volt
signal on terminal 133. The mixing of the equal magnitude, opposite
polarity signals from amplifiers 122 and 124 would result in a zero
output voltage on terminal 141. The output voltage on terminal 149
would similarly be zero.
If nonzero output voltages were desired on terminals 141 and 149,
they could be generated by amplifiers 123 and 125 without affecting
the voltage on terminal 133. Hence, the system of FIG. 3 will
continue to operate in spite of a zero output failure of amplifier
121. From symmetry, the system will also continue to operate in
spite of a zero output failure of either of amplifiers 123 or 125.
Hence, the system of FIG. 3 will continue to operate in spite of a
zero-output-type failure of any one amplifier.
Now let us examine the operation of the system of FIG. 3 with a
worst-case-type amplifier failure. We will assume that the maximum
amplifier output signal of either polarity is 100 volts and that a
particular amplifier has failed by generating a fixed +100-volt
output signal. First, let us assume that amplifier 121 is
generating an erroneous +100-volt signal on line 130. If the
voltages on input terminals 127, 135 and 143 are all zero, the
remaining five amplifiers will attempt to maintain the voltages on
output terminals 133, 141 and 149 at zero. One combination of
amplifier output voltages which will accomplish this is an output
of -71 volts from amplifiers 122 and 126, an output of +71 volts
from amplifier 124, and zero outputs from amplifiers 123 and 125.
As will be seen shortly, it is significant that a maximum erroneous
output from amplifier 121 may be opposed without requiring a
maximum output from any of the remaining five amplifiers.
As a second example, we assume a +100-volt erroneous output signal
from amplifier 122 on line 154. Zero system output voltages may
then be maintained with outputs of -70 volts from amplifiers 121
and 123, and zero outputs from amplifiers 124, 125 and 126. Again
it may be noted than an erroneous maximum value amplifier output
signal may be opposed to maintain the system output voltages on
terminals 133, 141 and 149 at zero without requiring maximum output
voltages from any of the remaining five amplifiers. From the
symmetry of the system of FIG. 3, the above reasoning implies that
a worst-case-type failure of any one amplifier may be opposed so
that the system output terminal voltages remain at zero without
requiring maximum outputs from any of the remaining five
amplifiers.
It was previously shown that any group of five amplifiers in the
system of FIG. 3 could generate desired independent output terminal
voltages in the presence of a zero output failure of a sixth
amplifier. The generation of a desired set of output terminal
voltages in the presence of a worst-case-type failure may be
considered as a superposition of the amplifier output voltages
which maintain zero voltages at the three output terminals plus the
amplifier output voltages which will generate the desired output
terminal voltages in the presence of a zero output failure. Hence,
the system of FIG. 3 is capable of generating a set of independent
voltages on output terminals 133, 141 and 149 in spite of either a
zero output or worst-case-type failure of any one amplifier. This
implies that the system of FIG. 3 will continue to operate in spite
of failure of any one amplifier which generates any erroneous
output voltage, since an arbitrary output voltage will be no worse
than a worst-case-type failure. This also implies that the system
of FIG. 3 will continue to operate in or change of value of any one
circuit resistance.
As mentioned previously, the conventional duplication and
paralleling approach to redundancy to allow continued operation in
the presence of worst-case-type failures requires a triple system
for each individual channel or independent variable. A conventional
triple redundant system for the amplification of three independent
voltages would require nine amplifiers. An advantage of the system
of FIG. 3 is that it requires only six amplifiers, a saving of
three amplifiers. In general, conventional triple redundant systems
require 3N subsystems, where N is the number of independent signal
quantities or transmission channels. The minimum number of
subsystems required for continued operation in the presence of a
worst-case-type failure is N+2. As in the case of the previously
considered zero-output-type failures, these two expressions are
equivalent for a single channel system. However, the techniques
shown in this specification offer significant economies and other
advantages as the number of independent signals or transmission
channels in the system increases. The system of FIG. 3 uses six
amplifiers for three independent channels. It is possible to devise
systems capable of amplifying three independent signals in spite of
a worst-case-type failure which use only five amplifiers for three
independent signals. The system of FIG. 3 was chosen for purposes
of illustration as its inherent symmetry makes its operation easier
to analyze and describe.
Reference is now made to FIG. 4 which is an illustration of a
redundant mechanical system arranged for the transmission of two
independent signals in spite of a breakage of any one transmission
rod. FIG. 4 includes rods 181, 182 and 183. The left ends of rods
181 and 183 are identified as ends 184 and 185, respectively, and
their right ends are identified as ends 186 and 187, respectively.
Rod 181 slides in a left-right direction through supports 188 and
189. Rod 182 similarly slides through supports 190 and 191, and rod
183 slides through supports 192 and 193. Bar 194 is attached to the
left end of rod 182 by pin 195 which allows rotational motion of
bar 194 with respect to rod 182. Bar 194 is also attached to rod
end 184 by pin 196 through slot 197 of bar 194. Bar 194 is
similarly attached to rod end 185 by pin 198 through slot 199 of
bar 194. Bar 200 is attached to the right end of rod 182 by pin
201. The manner of attachment of bar 200 to rod 182 allows rotation
of bar 200 with respect to rod 182. Bar 200 is attached to rod end
186 by pin 202 through slot 203 of bar 200. Bar 200 is similarly
attached to rod end 187 by pin 204 through slot 205 of bar 200.
The systems illustrated in FIGS. 1, 2 and 3 have been of an
electrical nature. FIG. 4 is intended to illustrate the
applications of the principles described in this specification to
nonelectrical systems or subsystems.
The system of FIG. 4 may be used as a mechanical signal
transmission system, and is a form of mechanical analog to the
electrical system of FIG. 1 Rod ends 184 and 185 are the mechanical
signal input elements, and signals are transmitted by moving these
rod ends. Rod ends 186 and 187 are the mechanical output elements,
and their positions indicate the mechanical signals being
transmitted. Rods 181, 182 and 183 serve to transmit the mechanical
signals over some distance. A breakage of one of rods 181, 182 or
183 will correspond to a zero-output-type failure of an amplifier
in the previously described system of FIG. 1.
Breakage of rod 182 will not affect the system operation, as both
mechanical signals will continue to be transmitted by rods 181 and
183 in a straightforward manner. Breakage of rod 183 will not
affect the transmission of a signal from end 184 to end 186 over
rod 181. With rod 183 broken, the parallelogram linkage formed by
rod 181, bar 194, rod 182, and bar 200 will cause pin 204 to follow
any movements of pin 198. Hence, rod end 187 will follow movements
of rod end 185, and the second mechanical signal will be
transmitted in spite of breakage of rod 183. Because of the
symmetry the same reasoning may be used to show that the system
will continue to function in spite of a breakage of rod 181.
It may be noted that rod 181 carries a first mechanical signal, rod
183 carries a second mechanical signal, and rod 182 carries an
average of the two mechanical signals. Hence, breakage of any one
of the three rods still transmits sufficient information to the far
end to allow reconstruction of the two independent signals. A more
conventional form of redundant mechanical system would have
provided duplicate rods for each of the two signal transmission
channels, or a total of four rods. The advantage of the system of
FIG. 4 is that it requires only three rods to transmit two
independent mechanical signals in spite of a breakage of any one of
the rods.
An application for a system such as that shown in FIG. 4 would be
the transmission of mechanical signals to the tail control surfaces
of an aircraft. Rod ends 184 and 185 would be connected to the
cockpit controls, and rod ends 186 and 187 would be connected to
the control surfaces.
Reference is now made to FIG. 5 which is a pictorial and schematic
illustration of a fifth form of the invention arranged for the
damping of pitch and yaw motions of an aircraft in spite of a
zero-output-type failure of any one component or subsystem. FIG. 5
shows aircraft 211 with right wing 212 and left wing 213. Rate
gyros 214, 215 and 216 are located in the forward section of
aircraft 211. Rate gyro 214 connects via line 217 to amplifier 218.
Rate gyro 215 similarly connects via line 219 to amplifier 220, and
rate gyro 216 connects via line 221 to amplifier 222. Amplifier 218
connects via link 225 to movable control surface 223 of vertical
stabilizer 224. Amplifier 220 similarly connects via link 228 to
movable control surface 226 of stabilizer 227, and amplifier 222
connects via link 231 to movable control surface 229 of stabilizer
230. Links 225, 228 and 231 include electromechanical actuators
which are not specifically shown in FIG. 5, but which move control
surfaces 223, 226 and 229 in response to signals from amplifiers
218, 220 and 222, respectively.
Aircraft 211 is of conventional design except for the tail
surfaces. In a conventional aircraft with right and left horizontal
tail surfaces the two movable horizontal control surfaces are
mechanically linked so as to move up and down together. In the
aircraft of FIG. 5 the three movable control surfaces are not
linked and may be moved independently in response to control
signals. Stabilizer 224 extends vertically upward from the aircraft
and in general resembles a conventional vertical stabilizer.
Stabilizers 227 and 230 extend outward from the aircraft tail in
directions which are 60.degree. to the right and left respectively
of the aircraft local vertical. Thus, stabilizers 227 and 230 are
inclined at angles of 30.degree. upward from the aircraft
horizontal.
The purpose of the system shown in FIG. 5 is to damp yaw and pitch
motions of aircraft 211. Rate gyro 214 is an angular-rate-sensing
device whose output on line 217 corresponds to the rate of rotation
of aircraft 211 about its vertical axis. Amplifier 218 will then
move control surface 223 so as to oppose any yawing motion of
aircraft 211 about its vertical axis. This subsystem is essentially
a single axis yaw damper of the type sometimes used to improve the
yaw stability of light aircraft in flight through turbulent air and
of high-speed aircraft in supersonic flight. Rate gyro 215 is
arranged with its sensitive axis perpendicular to the longitudinal
axis of aircraft 211 and 60.degree. to the right of the aircraft
local vertical. Rate gyro 216 is arranged with its sensitive axis
perpendicular to the longitudinal axis of aircraft 211 and
60.degree. to the left of the aircraft local vertical. The
subsystem including rate gyro 215, amplifier 220 and control
surface 226 will damp angular motion of aircraft 211 about the
sensitive axis of gyro 215. The subsystem including rate gyro 216,
amplifier 222 and control surface 229 will similarly damp angular
motion of aircraft 211 about the sensitive axis of gyro 216. Since
the simultaneous damping of angular motions about the sensitive
axes of gyros 214, 215 and 216 is not inconsistent, the overall
result will be a damping of both yaw and pitch motions of aircraft
211.
Since no two of the sensitive axes of gyros 214, 215 and 216 are
parallel, any combination of pitch and yaw motions of aircraft 211
will be sensed by at least two of said rate gyros. Hence, in normal
operation, any combination of yaw and pitch motions of aircraft 211
will be opposed or damped by motions of at least two of control
surfaces 223, 226 and 229. A nonredundant system for damping of
aircraft motions about two axes would require only two angular rate
sensors and two movable control surfaces. By adding a third angular
rate sensor, movable control surface and intermediate coupling
equipment, the system of FIG. 5 becomes a redundant system which is
capable of continued operation in spite of a zero-output-type
failure of any element in any one of the three subsystems.
Let us first consider a zero output failure in the subsystem
extending from rate gyro 214 to control surface 223. Whether the
failure is in gyro 214, line 217, amplifier 218, link 225 or
control surface 223 is unimportant as long as it is a
zero-output-type failure. The remaining two subsystems including
control surfaces 226 and 229 are still capable of exercising full
pitch and yaw control over aircraft 211. A number of aircraft,
including the model 35 manufactured by the Beech Aircraft Co. of
Wichita, Kansas, use only two stabilizers and control surfaces
inclined approximately 60.degree. from the aircraft local vertical.
The vertical stabilizer and conventional rudder are completely
absent in such aircraft. Hence, the system of FIG. 5 will continue
to damp both yaw and pitch motions of aircraft 211 in spite of a
zero output failure of the subsystem connecting to control surface
223. If the subsystem connecting to control surface 226 should have
a zero output failure, control surface 223 will function as a
conventional rudder while control surface 229, being largely
horizontal, will function largely as a conventional elevator
surface. Hence, the system of FIG. 5 will provide damping of both
yaw and pitch motions of aircraft 211 in spite of a zero output
failure of the subsystem connecting to control surface 226. Because
of symmetry the same reasoning may be used to show that the system
will continue to function in spite of a zero output failure of the
subsystem connecting to control surface 229.
The system of FIG. 5 may be compared with the system shown in FIG.
1. In FIG. 1, a first input signal is applied to a first amplifier,
a second input signal is applied to a second amplifier, and an
average of the two input signals is applied to a third amplifier.
The output of the first amplifier is connected to a first output
terminal, the output of the second amplifier is connected to a
second output terminal, and the output of the third amplifier is
connected to both output terminals. The system of FIG. 1 could be
used for pitch and yaw damping of the form provided by the system
of FIG. 5. Two rate gyros would be connected to the two input
terminals of the system of FIG. 1, and its two output terminals
would be connected to two electromechanical actuators and two
control surfaces. However, this system would then be vulnerable to
a single zero output failure of either rate gyro, either actuator
or either control surface. The system of FIG. 5 illustrates the
extension of the redundance techniques described in this
specification to include the signal sources such as rate gyros 214,
215 and 216, and signal destinations such as control surfaces 223,
226 and 229. From the geometry of the system of FIG. 5, it may be
seen that rotations sensed by gyro 214 will be an average of the
rotations sensed by gyros 215 and 216. Aircraft motion due to
deflection of control surface 223 will be similar to the motion due
to simultaneous deflections of both surfaces 226 and 229. Hence,
the system of FIG. 5 generally resembles the system of FIG. 1
except that it provides the additional immunity against
zero-output-type failures of the signal sources and output load
devices. Systems which are immune to worst-case-type failures
and/or systems for the sensing and/or control of motion about three
axes and/or translational motion may be extended in a similar
manner. Redundant systems which sense and/or control quantities
other than mechanical motions may also be extended to include
redundant system input and/or output networks.
Reference is now made to FIG. 6 which is a block diagram
illustrating a sixth form of the invention arranged for the
conversion of information from analog to digital form in spite of a
worst-case-type failure of an individual converter or other circuit
element. In FIG. 6, input terminal 241 connects through line 242 to
the input of analog to digital converter 243. The output of
converter 243 on line 244 connects to a first input of digital
computer 245. Input terminal 246 connects via line 247 to the input
of analog to digital converter 248. The output of converter 248 on
line 249 connects to a second input of digital computer 245. Line
250 connects from line 242 to a first input of mixer 251. Line 252
connects from line 247 to a second input of mixer 251. The output
of mixer 251 on line 253 connects to the input of analog to digital
converter 254. The output of converter 254 on line 255 connects to
a third input of digital computer 245. Line 256 connects from line
242 to a first input of mixer 257. Line 258 connects from line 247
to a second input of mixer 257. The output of mixer 257 on line 259
connects to the input of analog to digital converter 260. The
output of converter 260 on line 261 connects to a fourth input of
digital computer 245.
The systems shown in FIGS. 1 through 5 may be regarded as various
forms of feedback control systems. The systems shown in FIGS. 1, 2
and 3 employed operational amplifiers within electrical feedback
loops. The system of FIG. 4 may be regarded as a form of mechanical
feedback system, in that forces encountered by rod ends 186 and 187
are fed back to rod ends 184 and 185. The system of FIG. 5 is also
a form of feedback system, in that the effects of motions of the
various tail control surfaces are fed back into the rate gyros
through motion of the entire aircraft. The system of FIG. 6 is an
example of a redundant system employing the principles described in
this specification for data conversion or transmission which does
not employ feedback in the usual sense.
For convenience, the signals on input terminals 241 and 246 are
identified respectively as A and B. The signals are assumed to be
analog voltages. Signal A passes through analog to digital
converter 243, where it is converted into digital form, and passes
on through line 244 to digital computer 245. Signal B similarly
enters digital computer 245 on line 249. Mixer 251 is an analog
summing device of the type used in analog computing, simulation and
control systems. Mixer 251 generates a sum of signals A and B. This
sum is then converted into digital form in converter 254 and enters
computer 245 via line 255. Mixer 257 similarly generates a
difference of signals A and B which is converted in converter 260
and enters computer 245 via line 261. Thus, the system of FIG. 6
takes two signals, designated A and B, generates two additional
combination signals, (A+B) and (A-B), converts all four signals
into digital form, and enters them into digital computer 245.
It may be noted that any two of the four signals supplied to
digital computer 245 are linearly independent. Hence, given any two
of these signals the remaining two may be computed. As part of the
processing within digital computer 245, the four inputs on lines
244, 249, 255 and 261 are analyzed for consistency. One method of
analyzing this group of signals for consistency would be to form
four partial sums from the signals entered into digital computer
245.
S1=(A)+(B)-(A+B)
S2=(A)-(B)-(A-B)
S3=2(A)-(A+B)-(A-B)
S4=2(B)-(A+B)+(A-B)
Each of the above partial sums will be essentially zero if the four
analog to digital converters and associated equipment are all
functioning properly. The forming of these sums and subsequent
steps in the analysis would be performed by digital computer 245
under the control of an appropriate program. To examine the
operation of such a program in the presence of a converter
malfunction, we may first assume that converter 260 is generating
an erroneous output signal. Sums S2, S3, and S4 would then differ
from zero by the amount of the error of converter 260. S1 would
have the smallest absolute value which would imply that the correct
input values should be determined from the outputs of converters
243, 248 and 254. The outputs of converters 243 and 248 could then
be taken as the correct values of A and B. In the event of a
failure of converter 243, sums S1, S2 and S3 would be in error due
to the erroneous output of converter 243. S4 would then have the
least absolute value indicating that the correct values of A and B
should be determined from the outputs of converters 248, 254 and
260. The output of converter 248 could then be taken for the value
of B and the difference of the outputs of converters 248 and 254
for the value of A. Erroneous outputs from converter 248 or
converter 254 could be detected and compensated for in a similar
manner.
Since the system of FIG. 6 will continue to function properly in
spite of an erroneous signal of arbitrary magnitude from one of the
analog to digital converters, it may be regarded as a redundant
system which is immune to a worst-case-type failure. A more
conventional redundant analog to digital conversion system would
require three converters for each of the two independent signals, a
total of six converters. A simple arrangement of two converters per
channel would not suffice. If the outputs of the two converters
disagreed there would be no clear indication as to which one would
be correct. The system of FIG. 6 provides the redundant reliability
of a conventional six-converter system while requiring only four
converters.
The number of independent signals converted and/or transmitted by a
system such as that shown in FIG. 6 may be increased as desired.
The minimum number of conversion or transmission links required to
insure continued operation in spite of a worst-case-type failure is
N+2 where N is the number of independent signals converted or
transmitted. The N+2 signals which are actually converted or
transmitted must normally be chosen such that given any N of them,
the remaining 2 may be determined.
Communication noise such as radio static may be considered as a
form of intermittent unreliability. The problem of accurate
communication in the presence of noise is closely related to the
problem of constructing reliable systems from less reliable
elements. Radio or other communication links may be added to the
system of FIG. 6 in addition to or in place of converters 243, 248,
254 and 260. The system will continue to operate and determine the
correct values of signals A and B in spite of an erroneous signal
on any one of lines 244, 249, 255 or 261. The error compensation
will be made regardless of whether the error is due to equipment
malfunction or communication noise. Hence, systems of the order of
FIG. 6 may be used for the accurate transmission of information in
the presence of noise or other erroneous signals with a lesser
number of transmitted channels than would be required with simple
systems in which each transmission channel is duplicated or
paralleled.
This specification has described systems for the control and/or
transmission of a number of independent signals. The term
independent as applied to such signals should be interpreted in its
broad sense. For example, the system of FIG. 2 is arranged such
that the output voltage on terminal 81 is an inversion of the input
voltage on terminal 75; the output voltage on terminal 89 is an
inversion of the input voltage on terminal 83; and the output
voltage on terminal 97 is an inverted first order lag signal
related to the input on terminal 91. If terminals 89 and 91 were
joined, the output signal on terminal 97 would be a first order lag
signal corresponding to the input voltage on terminal 83 without
inversion. In some instances it may be convenient to pass a signal
through a system more than once. In such cases a redundant system
may amplify or otherwise process a signal at several steps in its
progress instead of, or in addition to, the previously described
examples of the processing of a number of essentially parallel
signals.
The term "transmission" is used in the claims in phrases such as
"transmission of signals." This term is intended to be interpreted
in its broad sense to include amplification, recording and playback
at a later time, operations such as analog to digital conversion,
time and frequency domain filtering, and other operations upon
signals as well as transmission from one location to another. The
term "signal" is also intended in its broad sense to include
electrical, mechanical, pneumatic, hydraulic and other means
whereby information may be transmitted. The letter N is used in the
claims to indicate a positive integer.
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