Background of the Invention
This invention relates to means for generating a pitch signal which is unaffected by wind shears and turns errors and more particularly to generating a pitch stabilization signal for a head up display which has a long term component derived from an angle of attack signal and a short term signal derived from a gyroscope signal.
Prior art pitch computation circuits are disclosed in Muller U.S. Pat. No. 3,851,303 and Muller U.S. Pat. No. 4,095,271, both assigned to the assignee of this application.
In Muller U.S. Pat. No. 3,851,303, a longitudinal accelerometer signal is modified by a differentiated air speed signal and is combined with a gyroscope signal to provide an indication of the pitch attitude of the aircraft. However, the differentiated air speed signal is subject to wind shear error, thereby decreasing the accuracy of the generated pitch signal.
Muller U.S. Pat. No. 4,095,271, discloses a pitch generator circuit which generates a pitch signal derived from a head up display mounted accelerometer which is calibrated to the display reference axis so that it indicates the pitch angle of the reference axis during steady state, i.e. unaccelerated flight conditions. The accelerometer output is compensated for horizontal acceleration by subtracting the air speed rate to generate a display reference computed pitch signal. This accelerometer derived pitch signal is used as a long term pitch reference and is combined with the gyroscope output for short term pitch excursions. This is accomplished by correcting the gyro pitch signal at a slow and limited rate to the long term reference.
A system disclosed in Greene U.S. Pat. No. 4,012,713, utilizes the output of a longitudinal accelerometer and a differentiated air speed signal to provide a wind shear signal. The signal is fed to appropriate indicator means to alert the pilot or other aircraft of the existence of a dangerous wind shear condition.
These types of systems work satisfactorily under normal conditions or where relatively short term wind shears are present. However, when wind shear conditions of long duration are encountered, the computed long term pitch reference may be in error due to the mismatch between inertial and air mass acceleration, since air mass acceleration is used to compensate for inertial acceleration. In certain wind shear conditions, the computed pitch output may be slowly forced to an erroneous long term pitch reference.
This long term wind shear error can be minimized by reducing the gyro correction slew rate. In so doing, however, gyro erection errors due to slow erection of the gyro platform to the dynamic vertical, as well as errors accumulated during turns cannot be fully compensated. This is especially true during shear conditions where both gyro errors as well as the long term pitch reference errors tend to increase in the same direction, and hence become additive.
Summary of the Invention
It is therefore an object of the invention to provide a circuit for computing the pitch attitude of an aircraft utilizing angle of attack information for long term pitch excursions, and gyroscope signals for short term pitch information.
It is an additional object of the invention to provide a pitch computation circuit which generates a stabilization signal for a head up display which indicates the pitch attitude of the aircraft regardless of wind shear conditions.
It is another object of the invention to provide a pitch generator circuit which utilizes a signal from an accelerometer mounted on the head up display and another signal from an accelerometer mounted on an angle of attack vane to produce an output signal which is completely free of acceleration and shear errors and which minimizes misalignment errors of the accelerometers.
More particularly, a signal representing the body angle of attack is combined with the air mass flight path angle to derive a first pitch signal representing a long term angle of attack pitch signal. This signal is used to generate an error signal which is combined with the gyroscope output after being limited and integrated to provide a calculated pitch signal which depends upon the first pitch signal for long term pitch information and upon the gyroscope signal for short term pitch information.
In a first embodiment of the invention, the calculated pitch signal may be combined with an output signal of an accelerometer mounted on the head up display. The resultant signal is filtered and subtracted from the pitch signal to produce a long term acceleration signal, which in turn is used to obtain a second error signal. This error signal is integrated over time to obtain a correction signal which is subtracted from the calculated pitch signal to derive a pitch stabilization signal for the head up display. Moreover, the integrator may be disconnected from the limiter to prevent loading the integrator with false information in the event that an unusual attitude or a dynamic flight condition exists.
In a second embodiment of the invention, the calculated pitch signal may be combined with a signal representing the difference between the output of the head up display mounted accelerometer and an angle of attack vane mounted accelerometer. The difference signal is filtered to eliminate the high frequency components before adding it to the calculated pitch signal. The resultant display stabilization signal is free of turn and shear errors, and misalignment errors due to the angle of attack vane and the head up display mounted accelerometers are reduced significantly.
Brief Description of the Drawings
FIG. 1 is a diagrammatic illustration of an aircraft with a head up display for pitch related visual information used in monitoring the approach of the aircraft to a landing;
FIG. 2 is a functional block diagram of a circuit for generating a pitch signal;
FIG. 3 is a schematic diagram showing the alignment geometry of the head up display mounted accelerometer and the angle of attack vane;
FIG. 4 is a functional block diagram of a circuit for generating a pitch stabilization signal from the computed pitch signal of FIG. 2;
FIG. 5 is a schematic diagram showing the alignment geometry of an angle of attack probe mounted accelerometer and a head up display mounted accelerometer;
FIG. 6 is a diagrammatic illustration of an angle of attack vane with an accelerometer mounted thereon; and
FIG. 7 is a functional block diagram of an alternative embodiment of a circuit for generating a display stabilization signal from the computed pitch signal of FIG. 2.
Description of the Preferred Embodiment
The present invention is illustrated and described herein for use with a head up display system which provides pitch and flight path information to a pilot for assisting the guidance of the aircraft. However, some features of the invention are useful in providing a head up display of other pitch related information or for generating an accurate pitch signal for other purposes, such as a flight guidance system.
Referring to FIG. 1, an aircraft 20 has a head up display 22 which projects pitch related information onto a combiner screen 24 located between the pilot and the outside world. The head up display, or HUD 22 may be of the form disclosed in Bateman U.S. Pat. No. 3,654,806; Bateman U.S. Pat. No. 3,686,626; Kirschner see insert U.S. Pat. No. 3,816,005 or Mieller U.S. Pat. No. 3,851,303 which are assigned to the assignee of this application.
An angle of attack derived pitch signal, denoted .theta..sub..alpha., utilizes a relationship between a body angle of attack, denoted .alpha..sub.B, which is the air velocity vector in relation to the fuselage reference line, or FRL, and an air mass flight path angle .gamma.. For the aircraft pitch attitude shown in FIG. 1:
or, rearranging
The body angle of attack .alpha..sub.B may be computed from a local air flow angle .alpha..sub.L which is measured by an angle of attack vane 26 located on the fuselage 28 of the aircraft 20. In general, the angle .alpha..sub.V measured by the angle of attack vane 26, is related to the local air flow angle .alpha..sub.L by the following equation:
or, rearranging
The local air flow angle .alpha..sub.L is also related to the body angle of attack .alpha..sub.B by the following equation:
Rearranging and substituting for .alpha..sub.L : ##EQU1## where .alpha..sub.o and K are aerodynamic constants determined during empirical flight testing and .DELTA..alpha..sub.V is the angle of attack probe 26 error relative to the reference datum to which .alpha..sub.o and K have been determined.
The quantity .alpha..sub.B may then be substituted into the equation for .theta..sub..alpha. to obtain the result: ##EQU2##
The quantity .gamma. may be obtained by dividing the barometric altitude rate, denoted H.sub.BARO by the true air speed, or V.sub.true and multiplying the result by 57.3. The true air speed may be obtained from an air data computer or by other sources of information. The barometric altitude rate may be obtained by differentiating the output of a barometric altimeter (not shown) which may be a part of the instrumentation of the aircraft 20.
The long term accuracy of the angle of attack based pitch signal .theta..sub..alpha. depends upon the effect that horizontal and vertical winds and shears have on the angle of attack .alpha..sub.B and upon the air mass flight path angle .gamma.. Generally, wind and shear errors tend to cancel in the computation of the angle of attack based pitch signal .theta..sub..alpha..
FIG. 2 illustrates a pitch calculator system incorporating the invention wherein the output from the angle of attack vane 26 is utilized to provide a long term pitch signal and wherein the output from a gyroscope 29 is utilized to provide short term pitch information.
The output .alpha..sub.V of the angle of attack vane 26 is coupled to a summing circuit 40 where it is decreased by an amount equal to the constant .alpha.o. This signal is then multiplied by a factor of (l/K), by a multiplier circuit 42 resulting in a signal equal to: ##EQU3## which in turn is equal to: ##EQU4##
This signal is added in an adding circuit 44 to the air mass flight path angle .gamma., which is obtained by dividing the barometric altitude rate H.sub.BARO by the true air speed V.sub.true and by multiplying the quotient by 57.3 in a multiplier circuit 46.
The summation of the two signals in the summing circuit 44 produces an output signal which is equal to: ##EQU5## This signal is coupled to a summing circuit 50 through a switch contact 48 and is limited by a limiter 52 to a plus or minus 3.degree. maximum swing. This signal is then integrated by an integrator 54 to filter the short term dynamic disturbances of the signal.
The integrated signal from the integrator 54 is summed with the gyro output, denoted .theta..sub.gyro, in a summing circuit 56 to provide a calculated pitch output .theta..sub..alpha. *+(.DELTA..alpha..sub.V /K) which is indicative of the pitch attitude of the aircraft 20 but which contains a constant component equal to (.DELTA..alpha..sub.V /K). The output signal from the summing circuit 56 is coupled back to the summing circuit 50, which subtracts this signal from the output of the summing circuit 44 to produce an error signal. The error signal is integrated over time to develop a correction signal which is added to the gyroscope signal.theta..sub.gyro to decrease long term errors which may be due to long duration wind shears.
To prevent loading of the integrator 54 with false information, such as during takeoff when the air speed is below a predetermined value, for example, 70 knots, the switch contact 48 disconnects the output of the summing circuit 44 from the input of the summing circuit 50 and couples the output .theta..sub.gyro of the gyroscope 29 to the input of the summing circuit 50. Under these conditions, the output from the summing circuit 56 is the signal .theta..sub.gyro only.
The limiter 52 and the time constant .tau. of the integrator 54 are chosen such that the short term dynamic disturbances of the raw .theta..sub..alpha. signal are filtered adequately, yet typical gyro sources, such as platform erection during acceleration and turn errors, are eliminated. The resulting output signal follows the gyro pitch signal for short term changes and the .alpha..sub.V based pitch signal for long term variances.
The output from the summing circuit 44 is subtracted from the gyroscope signal .theta..sub.gyro at a summing junction 49 to obtain a signal representing the vertical shear to which the aircraft is subjected. This signal is filtered in a washout circuit 51 which eliminates the short term dynamic components thereof to obtain a signal VS.sub.L representing the long term vertical windshear. The signal VS.sub.L is coupled to a comparator circuit 53 which provides an output signal to a vertical shear indicator 55 in the event the vertical windshear exceeds predetermined limits. Moreover, in the event a signal is generated by the comparator circuit 53, a switch contact 57 disconnects the limiter 52 and the integraor 54 from the summing circuit 50 and connects them to ground to prevent the calculated pitch outpu .theta..sub..alpha. *+(.DELTA..alpha..sub.V /K) from being affected by long term vertical windshears. During this time, the output of the integrator 54 is maintained at a constant level by connecting the switch contact 57 to ground.
The offset error (.DELTA..alpha..sub.V /K) is a constant which does not vary once the angle of attack probe 26 is installed. The output from the circuit of FIG. 2 may be used as part of a conventional HUD system or may be used in other types of applications which require accurate pitch information, such as flight path guidance system.
Referring now to FIGS. 3 and 4, there is illustrated a system which generates a pitch stabilization signal from the output signal of the circuit of FIG. 2 and eliminates the error introduced by the angle of attack probe 26 misalignment. The circuit of FIG. 4 is particularly suited for use in a head up display which requires a pitch signal for stabilization of the display.
In FIG. 3, a longitudinal accelerometer 60 is mounted directly on the HUD platform and the HUD display unit 22 is calibrated such that when it is positioned with its reference axis level and with a zero pitch input signal, the displayed horizon line overlays the true horizon. The output of the longitudinal accelerometer 60, denoted A.sub.L1, is calibrated to read true pitch when the HUD reference axis is in nominal alignment to the fuselage reference line FRL while operating under static conditions. Once the HUD 22 and the longitudinal accelerometer 60 are installed in the aircarft, any misalignment error .DELTA..alpha..sub.1 of the longitudinal accelerometer 60 must be compensated for by a pitch stabilization signal, denoted .theta..sub.D, which is equal to the sum of a true pitch angle .theta. and the misalignment error .DELTA..alpha..sub.1.
The computed pitch stabilization circuit illustrated in FIG. 4 eliminates the angle of attack probe 26 misalignment error of the output signal computed in FIG. 2 by slowly correcting the long term component of the .theta..sub..alpha. *+(.DELTA..alpha..sub.V /K) signal to the angle measured by the HUD reference axis mounted accelerometer 60.
The output signal .theta..sub..alpha. *+(.DELTA..alpha..sub.V /K) is multipled by a factor of 0.53 in a multiplier circuit 62 and is subtracted from the output A.sub.L1 of the HUD mounted accelerometer 60 in a summing circuit 64. The output of the summing circuit 64 is filtered by a filter circuit 66, which comprises a portion of a complimentary filter circuit 68. The transfer function for the filter circuit 66 is such that the long term components of the output signal from the summing circuit 64 are eliminated. The resulting high frequency components are then passed to another summing circuit 69.
The air speed of the aircraft is detected by an air speed sensor 84 and is differentiated by a rate circuit 86 to provide an air speed acceleration signal V.sub.AIR. This signal is an input to a filter circuit 67 which is part of the complimentary filter circuit 68. The output of the filter 67 is added in a summing circuit 69 to the output of the filter 66 to provide a signal denoted V*, which consists of a long term component from the filter circuit 67 and a short term component from the filter circuit 66. The time constant .tau. of the complimentary filter 68 may be made relatively long to minimize the effect of wind shears.
The signal V* from summing circuit 69 is subtracted from the output signal A.sub.L1 of the HUD mounted accelerometer 60 which, after being multiplied by a factor of 1.78 in a multiplier circuit 72, provides an output signal .theta..sub.AL which represents the long term pitch signal measured by the HUD mounted accelerometer 60.
An output .theta..sub.D *, which is the pitch stabilization signal output, is subtracted from the signal .theta..sub.AL in a summing circuit 74 to provide a second error signal which is limited by a limiter circuit 76. The output of the limiter 76 is integrated and further limited by an integrator circuit 80 to develop a second correction signal .DELTA..theta..sub.D which is approximately equal to the quantity (.DELTA..alpha..sub.V /K). This signal is subtracted in a summing circuit 82 from the output signal .theta..sub..alpha. *+(.DELTA..alpha..sub.V /K) from the circuit shown in FIG. 2. The output .theta..sub.D * of the summing circuit 82 is then equal to the true pitch .theta. plus the HUD alignment error .DELTA..alpha..sub.1.
To prevent loading the integrator 80 with false information which would cause the .theta..sub.D * signal to be slewed to the dynamic vertical measured by the HUD accelerometer 60 in the event of an unusual attitude or dynamic flight condition, logic circuits are provided to disconnect the integrator 80 from the limiter 76 under a specified set of circumstances.
The signal V* from the summing circuit 69 is passed through an absolute value circuit 88 and is coupled to a comparator 90, which provides an output signal in the event that V* rises above 0.3 ft/sec.sup.2. The output of the comparator 90 is then coupled to one input of a NOR gate 92.
Other inputs to the NOR gate 92 are provided by a series of comparator circuits 94, 96 and 98. The comparator circuit 94 provides a signal in the event that the roll angle rises above a predetermined upper limit, such as 15.degree.. Similarly, the comparator circuit 96 receives as its input the output signal A.sub.L1 from the HUD mounted accelerometer 60 and provides an output when the pitch rises about a particular limit, such as 20.degree.. The comparator circuit 98 provides an output to the NOR gate 92 in the event that the vertical acceleration exceeds an upper limit, such as 0.2 times the acceleration of gravity. The roll angle and the vertical acceleration may be provided by an Air Data computer or by accelerometers mounted with the aircraft.
The NOR gate 92 will cause a switch contact 78 to disconnect the limiter 76 from the integrator 80 in the event that one of the comparators 90, 94, 96 or 98 indicates that an unusual attitude or a dynamic flight condition exists. This logic circuitry avoids slewing of the .theta..sub.D * signal to the dynamic vertical measured by the HUD mounted accelerometer 60 by preventing the error signal .DELTA..theta..sub.D from accumulating to an abnormally high value.
Once the logic circuitry detects that an unusual condition no longer exists, the NOR circuit 92 causes the switch contact 78 to reconnect the limiter 76 to the integrator 80, allowing resumption of normal operation.
The accuracy of the circuit of FIG. 4 depends upon the fact that the two alignment error angles (.DELTA..alpha..sub.V /K) and .DELTA..alpha..sub.1 do not change at all or very little during approach to the runway. The resulting output signal .theta..sub.D * is then equal to the true pitch .theta. plus the HUD alignment error .DELTA..alpha..sub.1 and may be used to pitch stabilize the HUD symbology.
Referring to FIGS. 5, 6 and 7, a second embodiment of a pitch stabilization circuit is shown which utilizes an angle of attack probe 26 mounted accelerometer 100. This embodiment of the computed pitch circuit results in generation of a .theta..sub.D signal completely free of acceleration and therefore shear errors. This embodiment of the invention may be used in conjunction with the circuit shown in FIG. 2 in place of the circuit of FIG. 4.
The angle of attack probe mounted accelerometer 100, shown in FIGS. 5 and 6, is mounted on a probe body 27 of the angle of attack probe 26 and is aligned to give a zero indication under static conditions.
The angle of attack probe 26 is normally calibrated to the wing chord plane through the use of a pair of probe reference pins 27a and 27b; however, small alignment errors in relation to the FRL are possible. The accelerometer 100 output, denoted A.sub.LV, indicates this misalignment error .DELTA..alpha..sub.V when compared with the HUD unit mounted accelerometer 60. The ideal pitch stabilization signal .theta..sub.D could be computed from .theta..sub..alpha. if .DELTA..alpha..sub.V and .DELTA..alpha..sub.1 were known. The two misalignment angles .DELTA..alpha..sub.V and .DELTA..alpha..sub.1 are not known directly, however, the difference between the two may be computed from the following equations:
where A.sub.H is the horizontal acceleration of the aircraft, g is the gravitational constant and .theta. is the true pitch. Subtracting A.sub.LV from A.sub.L1 yields the result:
or, rearranging: ##EQU6##
As illustrated in FIG. 5, the ideal pitch stabilization signal .theta..sub.D is equal to the true pitch angle plus the misalignment angle .DELTA..alpha., of the HUD mounted accelerometer 60. If instead, the angle of attack based pitch signal .theta..sub..alpha. from FIG. 2 is used, then: ##EQU7## where .alpha..sub.O and K are constants measured during flight testing.
The quantity .DELTA..alpha..sub.1 -(.DELTA..alpha..sub.V /K) is not directly known; however, if the local air flow angle to body angle scale factor K were equal to 1, then .theta..sub.D would be equal to:
And, since: ##EQU8## .theta..sub.D may be computed from measurements of .alpha..sub.V and A.sub.L1 -A.sub.LV. However, since K is normally between 1.5 and 2, only an approximation to .theta..sub.D may be calculated.
An approximate pitch stabilization signal .theta..sub.D.sup.1 may be calculated by utilizing the relation: ##EQU9## where K.sub.2 is a constant gain factor independent of the constant K. By substituting the approximation into the equation for .theta..sub.D, an equation for .theta..sub.D.sup.1 is obtained: ##EQU10##
To obtain the magnitude of the error of the approximation for .theta..sub.D, .theta..sub.D.sup.1 15 subtracted from .theta..sub.D : ##EQU11## The error signal .DELTA..alpha. thus contains two components, one proportional to .DELTA..alpha..sub.V and the other proportional to .DELTA..alpha..sub.1.
The gain factor K.sub.2 may be chosen such that the error contribution of .DELTA..alpha..sub.V and .DELTA..alpha..sub.1 are equal. If K.sub.2 is so chosen, misalignment errors of the angle of attack probe accelerometer 100 and of the HUD display mounted accelerometer 60 are reduced approximately by a factor of 5. Assuming that K is equal to 1.8, then equal error contributions of .DELTA..alpha..sub.V and .DELTA..alpha..sub.1 result in the value of K.sub.2 being equal to 1.285.
Referring to FIG. 7, the output A.sub.LV from the angle of attack probe mounted accelerometer 100 is subtracted from the output A.sub.L1 of the HUD mounted accelerometer 60 in a summing circuit 102. The resultant signal, denoted .DELTA.A.sub.L1, is multiplied by a factor of 57.3 and is divided by the gravitational constant g in a multiplier circuit 104. The output of the multipler circuit 104 is then equal to .DELTA..alpha..sub.1 -.DELTA..alpha..sub.V and this signal is divided by the gain factor K.sub.2, which is equal to 1.285, in a circuit 106. The output of the divider circuit 106 is modified by a filtering circuit 108 which eliminates the high frequency components of the signal, and is then added to the output signal .theta..sub.60 *+(.DELTA..alpha..sub.V /K) of the circuit shown in FIG. 2 in a summing circuit 110.
The output of the summing circuit 110 is then equal to the approximate display stabilization signal .theta..sub.D.sup.1, and is completely independent of horizontal accelerations, due to the fact that A.sub.L1 and A.sub.LV are subtracted and hence the horizontal acceleration term A.sub.H is cancelled. This independence relies upon the assumption that the output signal from the circuit of FIG. 2 is not affected by winds and shears due to the cancellation effect of .gamma. and .alpha..sub.B.