CN119511700A - Ultra-low frequency elastic adaptive fault-tolerant attitude stabilization control method and system for launch vehicles - Google Patents
Ultra-low frequency elastic adaptive fault-tolerant attitude stabilization control method and system for launch vehicles Download PDFInfo
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Abstract
The invention relates to a carrier rocket ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method and system, which belong to the fields of carrier rocket overall design, carrier rocket dynamics and control, and the invention provides a double-center frequency self-adaptive filter for the first time, which can simultaneously and parallelly identify two-order elastic mode frequencies, thoroughly avoid the frequency crossing problem and has a better application effect on processing the whole rocket two-order and three-order elastic mode self-adaptive suppression problem; in addition, unlike the conventional series notch filtering thought, the invention provides an elastic suppression strategy based on an additive compensation thought, one path of compensation signal is added on the basis of the original control loop, the influence of the loop on the original control system scheme can be controlled through means such as amplitude limiting, the safety and stability of the control loop have good application foundation, the engineering application prospect is good, and the fault tolerance adaptability to the design difference of the heaven and earth and the arrow dynamic characteristic change under faults is good.
Description
Technical Field
The invention relates to a carrier rocket ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method and system, and belongs to the fields of carrier rocket overall design, carrier rocket dynamics and control.
Background
The large liquid binding carrier rocket is influenced by propellant shaking, rocket body elastic vibration and other strong external interference including aerodynamic force in the flight process, and the attitude control of the large liquid binding carrier rocket has the problems of multi-mode coupling, serious channel crosslinking and the like. As the size of the carrier rocket increases, the slenderness ratio increases, and the first-order elastic modal frequency of the rocket body decreases sharply. Taking a series of rocket binding configurations as an example, the elastic frequency reaches the lowest level of a large-scale carrier in the world, and the stable control of the middle-low frequency rigid shaking bullet mode becomes a design problem.
Because of the space-ground difference and the limitation of ground test conditions, model parameters cannot be accurately predicted, ground design deviation values are conservative, the complexity of the controller is improved and the performance of the controller is lost by adapting a set of controllers to various deviation combination working conditions of a full flight section, and in addition, along with the technical progress, great engineering launching tasks put higher requirements on the reliability and safety of a carrier, and a rocket system needs to have fault adaptation capability for normal operation of a first time of faults. In summary, the design of the attitude control system of the fourth-generation carrier rocket needs to have stronger deviation adaptability and fault tolerance capability on the basis of meeting the performance requirements of the traditional system, and enough stability margin is reserved to adapt to uncertainty such as nonlinearity, channel crosslinking, unmodeled interference and the like.
The adaptive notch filter applied in the current engineering can only process the adaptive filtering of the first-order center frequency, and the suppression of the multi-order elastic signals is realized by the filter in series connection, but the processing method cannot avoid the cross jump of the center frequency, and the unstable center frequency of the notch filter can influence the filtering effect and even influence the system stability in the time period of the frequency cross jump. Therefore, the invention provides the self-adaptive attitude control method suitable for the ultralow frequency elastic control of the carrier rocket, and compared with the traditional control method, the self-adaptive attitude control method has stronger adaptability to dynamic world inconsistency and typical power system faults.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, and provides a carrier rocket ultralow frequency elasticity self-adaptive fault-tolerant attitude stabilization control method and system, which solve the problem that carrier rocket ultralow frequency elasticity control cannot be designed.
The above object of the present invention is mainly achieved by the following technical solutions:
a carrier rocket ultralow frequency elastic self-adaptive fault-tolerant attitude stabilization control method comprises the following steps:
removing rigid body motion information in the identification signal;
filtering the identification signal from which the rigid motion information is removed, filtering out low-frequency components and high-frequency components, and reserving information in a required frequency band;
For the identification signal after the filtering processing, updating parameters of the double-center frequency self-adaptive notch filter by using a recursive least square algorithm with forgetting factors to obtain the two-order modal frequency with highest energy in the identification signal;
The method for updating or maintaining the frequency of the two-order modal frequency comprises the steps that when the vibration magnitude is larger than a required value and the change rate of the modal frequency is smaller than the required value, the notch filter adopts the identification frequency of the current beat, otherwise, the notch filter adopts the identification frequency of the previous beat;
generating a reference signal by using the updated or maintained two-order modal frequency, and generating an elastic compensation signal by using a minimum mean square error adaptive filtering algorithm according to the reference signal;
and compensating the elastic compensation signal into a swing angle control instruction to realize stable control of the arrow body self-adaptive fault-tolerant posture.
In the above carrier rocket ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method, the removing rigid motion information in the identification signal includes:
If the carrier rocket is provided with a plurality of sets of rate gyroscopes, subtracting angular velocity information measured by any two rate gyroscopes arranged at different positions, and removing rigid body motion signals;
If the carrier rocket is only provided with one set of rate gyro, subtracting the angular velocity calculated by using the inertial group from the angular velocity information measured by the rate gyro, and removing a rigid body motion signal;
If the carrier rocket is not provided with the rate gyro, the inertial component is used for calculating the angular velocity and the rigid motion signal is filtered through a high-pass filter.
In the carrier rocket ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method, the identification signal from which the rigid motion information is removed is subjected to filtering treatment by adopting a band-pass filter, wherein the band-pass filter has the following form:
Wherein, B=ω high-ωlow,ωlow is the lower boundary frequency of the band-pass filter reserve band, ω high is the upper boundary frequency of the band-pass filter reserve band, and s is a pull-varying complex frequency domain variable.
In the above carrier rocket ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method, updating parameters of a dual-center frequency self-adaptive notch filter by using a recursive least square algorithm with forgetting factors to obtain the two-order modal frequency with the highest energy in the identification signal, comprising:
(1) Initializing a correlation matrix, namely phi (0) =delta I, wherein delta is a regularization parameter, and I is a unit diagonal matrix;
(2) Updating the weight matrix to input a correlation matrix phi (n) according to the identification signal after the filtering treatment, wherein a recurrence formula of the correlation matrix phi (n) is as follows:
wherein, lambda is an exponentially weighted forgetting factor, lambda is a number close to 1 but less than 1, wherein x (n), x (n-1), x (n-2), x (n-3) are the outputs of the pole parts of the filters of the nth beat, the n-1 th beat, the n-2 nd beat and the n-3 th beat respectively;
(3) Updating a cross-correlation vector z (n) between the weight input and the expected response according to the filtered identification signal, wherein the cross-correlation vector z (n) recursively updates the formula as follows:
wherein x (n-4) is the output of the filter pole portion of the nth-4 beat;
(4) Updating the recursive least squares weight vector based on the correlation matrix Φ (n) and the cross-correlation vector z (n) The update formula is:
(5) Based on recursive least squares weight vectors The characteristic parameters a 1(n),a2 (n) of the wave trap are calculated, and the calculation formula is as follows:
and further obtaining the two-order modal frequency identified by the filter, wherein the expression is as follows:
Where Δt is the sampling time.
In the carrier rocket ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method, at least one of the following conditions is satisfied:
Regularization parameter delta is related to signal-to-noise ratio, small value is taken when signal-to-noise ratio is high, larger value is taken when signal-to-noise ratio is low, and delta is 1 multiplied by 10 -4;
The smaller the value of the index weighted forgetting factor lambda is, the faster the forgetting is, the smoother the identification frequency is, and the value of lambda is 0.95-0.99;
The sampling time Δt takes the control period of 0.02s.
In the carrier rocket ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method, the vibration magnitude is judged by adopting an output value y s of a frequency spectrum damper or adopting an amplitude value y (n) of a frequency identification input signal.
In the carrier rocket ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method, the updated or maintained two-order modal frequency is utilized to generate a reference signal by adopting the following formula:
wherein d (n) is the reference signal of the nth time step, A is the reference signal amplitude, For the updated or maintained two-order mode frequency, T is time, deltaT is time taken, and Deltais the sampling pulse function.
In the carrier rocket ultralow frequency elastic self-adaptive fault-tolerant attitude stabilization control method, the generating of the elastic compensation signal by utilizing the minimum mean square error self-adaptive filtering algorithm according to the reference signal comprises the following steps:
(1) Defining weight vectors
Wherein M is the order of the filter, and the weight vector is initialized
(2) Calculating an estimated error e (n) of the input signal and the output signal:
e(n)=u(n)-δek(n)
wherein e (n) is the error signal of the nth time step, delta ek (n) is the frequency of the nth time step U (n) is the residual elastic signal of the information filtered by the dual center frequency filter subtracted from the filtered identification signal, and is the Mx 1 input vector of the nth time step;
(3) According to the weight vector And error signal e (n), calculate the recurrence weight vector that the random gradient descends, weight vector recurrence formula is:
w(n+1)=w(n)+μu(n)e(n)
Wherein μ is a calculation step size;
(4) Calculating the filter output of the n+1th time step based on the reference signal d (n):
δek(n+1)=wT(n)d(n)
Wherein, delta ek (n+1) is the frequency of the n+1th time step is A compensation signal for the kth order elasticity of (a); T is the transpose.
An ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control system for a carrier rocket, comprising:
the information removing module is used for removing rigid motion information in the identification signal;
the filtering module is used for filtering the identification signal from which the rigid motion information is removed, filtering out low-frequency components and high-frequency components, and reserving information in a required frequency band;
the modal frequency acquisition and self-adaptive filtering module is used for updating parameters of the double-center frequency self-adaptive notch filter by using a recursive least square algorithm with forgetting factors aiming at the identification signal after filtering processing to obtain the two-order modal frequency with highest energy in the identification signal;
the frequency updating or maintaining module is used for updating or maintaining the frequency of the two-order modal frequency, and the method is that when the vibration magnitude is larger than a required value and the change rate of the modal frequency is smaller than the required value, the notch filter adopts the identification frequency of the current beat, otherwise, the notch filter adopts the identification frequency of the previous beat;
the compensation signal generation module is used for generating a reference signal by using the updated or maintained two-order modal frequency, and generating an elastic compensation signal by using a minimum mean square error self-adaptive filtering algorithm according to the reference signal;
And the signal compensation module compensates the elastic compensation signal into a swing angle control instruction to realize stable control of the arrow body self-adaptive fault-tolerant posture.
A computer device comprising a memory, a processor and a computer program stored on the memory, the processor executing the computer program to perform the steps of the method described above.
Compared with the prior art, the invention at least comprises the following beneficial effects:
(1) The invention provides a double-center frequency self-adaptive filter for the first time, can simultaneously and parallelly identify the two-order elastic mode frequency, thoroughly avoids the frequency crossing problem, has a good application effect on processing the whole rocket two-order and three-order elastic mode self-adaptive suppression problem, and in addition, unlike the traditional series notch filtering thought, the embodiment of the invention provides an elastic suppression strategy based on the additive compensation thought, adds one path of compensation signal on the basis of the original control loop, can control the influence of the loop on the scheme of the original control system through means such as amplitude limiting, has a good application base on safety and stability, and has good engineering application prospect.
(2) The invention relates to a self-adaptive attitude control method suitable for ultralow frequency elastic control of a carrier rocket, which has better fault tolerance adaptability to space-earth design differences and rocket body dynamic characteristic changes under faults.
Drawings
FIG. 1 is a schematic diagram of a control scheme in an embodiment of the present invention;
FIG. 2 is a schematic diagram of a step four spectral damper according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a fourth frequency update and hold module according to an embodiment of the present invention;
FIG. 4 is a diagram illustrating simulation verification of an algorithm in an embodiment of the present invention;
FIG. 5 is a diagram illustrating simulation verification of an algorithm in an embodiment of the present invention.
Detailed Description
The invention is described in further detail below with reference to the attached drawings and to specific embodiments:
As shown in fig. 1, the ultra-low frequency elastic self-adaptive fault-tolerant attitude stabilization control method for the carrier rocket in the embodiment of the invention specifically comprises the following steps:
Step one, removing a rigid body trend item;
To ensure accuracy of frequency estimation, rigid motion information in the identification signal needs to be eliminated, and only elastic information is reserved.
If the carrier rocket is provided with a plurality of sets of rate gyroscopes, subtracting angular velocity information measured by any two rate gyroscopes arranged at different positions, and removing rigid body motion signals;
If the carrier rocket is only provided with one set of rate gyro, subtracting the angular velocity calculated by using the inertial group from the angular velocity information measured by the rate gyro, and removing a rigid body motion signal;
If the carrier rocket is not provided with the rate gyro, the inertial component is used for calculating the angular velocity and the rigid motion signal is filtered through a high-pass filter.
And step two, filtering the identification signal from which the rigid motion information is removed according to the design prior information.
The band-pass filter is used for preprocessing the identification input data, low-frequency and high-frequency components are filtered, only information in a required frequency band is reserved, and accuracy and continuity of frequency identification can be effectively improved. The bandpass filter is of the form:
in the formula, B=ω high-ωlow,ωlow is the lower boundary frequency of the band-pass filter reserve band, ω high is the upper boundary frequency of the band-pass filter reserve band, and s is a pull-varying complex frequency domain variable.
Step three, updating parameters of the dual-center frequency self-adaptive notch filter by using a Recursive Least Squares (RLS) algorithm with forgetting factors according to the filtered identification signalsFurther identifying the two-order modal frequency with the highest energy in the signal;
the recursive least square algorithm comprises the following calculation flows:
(1) The algorithm is initialized, wherein a cross-correlation vector z (0) =0 is initialized, a correlation matrix is initialized, phi (0) =delta I is initialized, delta is a regularization parameter, the value is set to be related to the signal to noise ratio, a small value is taken when the signal to noise ratio is high, a larger value is taken when the signal to noise ratio is low, the value is 1 multiplied by 10 -4 in the embodiment, and I is a unit diagonal matrix.
(2) Updating a weight matrix input correlation matrix phi (n) according to the identification signal after the filtering treatment, and a correlation matrix recurrence formula:
wherein, lambda is an exponentially weighted forgetting factor, lambda is close to 1, but is smaller than 1, lambda is smaller and forgets faster, the identification frequency is smoother, and the values of x (n), x (n-1), x (n-2) and x (n-3) are respectively the outputs of pole parts of the filters of the nth beat, the nth-1 beat, the nth-2 beat and the nth-3 beat.
(3) According to the filtered identification signal, updating a cross-correlation vector z (n) between the weight input and the expected response, wherein a z (n) recursion updating formula is as follows:
where x (n-4) is the output of the pole portion of the filter at the n-4 th beat.
(4) Updating the recursive least squares weight vector based on the correlation matrix Φ (n) and the cross-correlation vector z (n)The update formula is:
(5) From recursive least squares weight vectors The trap characteristic parameter a 1(n),a2 (n) is obtained through calculation, and the calculation formula is as follows:
and further obtaining the two-order modal frequency identified by the filter, wherein the expression is as follows:
where Δt is the sampling time, and the control period is 0.02s in this embodiment. And outputting the identification frequency result according to the ascending order.
And step four, frequency updating or maintaining is carried out on the two-order modal frequency.
When the vibration magnitude of the rocket is smaller, the frequency identification module can identify inelastic signals, signal components in a rocket attitude control loop are complex, and the vibration frequency identification value is unstable. Thus, the following improved strategy is adopted for adaptive notch filter control:
When the vibration magnitude is larger than the required value and the change rate of the modal frequency is smaller than the required value, the notch frequency of the notch filter adopts the current modal frequency, otherwise, the notch frequency of the notch filter adopts the modal frequency of the previous beat, wherein the change rate of the modal frequency is the difference value of the modal frequency of the current beat and the modal frequency of the previous beat divided by the time period, and the frequency updating and maintaining module is shown in a schematic diagram of fig. 3.
The vibration magnitude can be determined by using the output value y s of a frequency spectrum damper, the form of the frequency spectrum damper is shown in fig. 2, and the amplitude |y (n) | of the input signal can also be identified by using the frequency. The criterion for judging whether the frequency estimation value is stable or not is to judge the magnitude of the frequency increment.
Generating a reference signal by using the updated or maintained two-order modal frequency, wherein the formula is as follows:
Wherein d (n) is the reference signal of the nth time step, A is the reference signal amplitude, For the updated or maintained two-order mode frequency, T is time, deltaT is time taken, and Deltais the sampling pulse function.
Generating frequency to be using least mean square error (LMS) adaptive filtering algorithmA compensation signal delta ek for the kth order elasticity of (a);
The calculation flow of the LMS algorithm is as follows:
(1) Defining weight vectors
Wherein M represents the filter order, the value M=5 in this embodiment, initializing the weight vector
(2) Calculating an estimated error e (n) of the input signal and the output signal:
e(n)=u(n)-δek(n)
wherein e (n) is the error signal of the nth time step, delta ek (n) is the frequency of the nth time step U (n) is the residual elastic signal of the information filtered by the double-center frequency filter subtracted from the filtered identification signal, and is the Mx 1 input vector of the nth time step;
(3) According to the weight vector And error signal e (n), calculate the recurrence weight vector that the random gradient descends, weight vector recurrence formula is:
w(n+1)=w(n)+μu(n)e(n)
wherein mu is the calculated step length;
(4) From the reference signal d (n), the filter output for the n+1th time step is calculated:
δek(n+1)=wT(n)d(n)
Wherein, delta ek (n+1) is the frequency of the n+1th time step is A compensation signal for the kth order elasticity of (a); T is the transpose.
And step six, calculating the swing angle compensation instructions delta e1 and delta e2 by adopting the algorithm of the step five for the two-order characteristic frequencies identified in the step three and the step four. And compensating the elastic compensation signals delta e1 and delta e2 into a control swing angle instruction, thereby realizing the self-adaptive fault-tolerant attitude stable control of the elastic vibration of the rocket body. The simulation verification conditions of the control method provided by the embodiment of the invention are shown in fig. 4 and 5, and the self-adaptive control strategy can effectively improve the robustness of the system.
The invention also provides a carrier rocket ultralow frequency elastic self-adaptive fault-tolerant attitude stabilization control system, which comprises:
the information removing module is used for removing rigid motion information in the identification signal;
the filtering module is used for filtering the identification signal from which the rigid motion information is removed, filtering out low-frequency components and high-frequency components, and reserving information in a required frequency band;
The modal frequency acquisition and self-adaptive filtering module is used for updating parameters of the double-center frequency self-adaptive notch filter by using a recursive least square algorithm with forgetting factors aiming at the identification signal after filtering processing to obtain the two-order modal frequency with the highest energy in the identification signal;
the frequency updating or maintaining module is used for updating or maintaining the frequency of the two-order modal frequency, and the method is that when the vibration magnitude is larger than a required value and the change rate of the modal frequency is smaller than the required value, the notch filter adopts the identification frequency of the current beat, otherwise, the notch filter adopts the identification frequency of the previous beat;
the compensation signal generation module is used for generating a reference signal by using the updated or maintained two-order modal frequency, and generating an elastic compensation signal by using a minimum mean square error self-adaptive filtering algorithm according to the reference signal;
And the signal compensation module compensates the elastic compensation signal into a swing angle control instruction to realize stable control of the arrow body self-adaptive fault-tolerant posture.
The invention also provides a computer device comprising a memory, a processor and a computer program stored on the memory, the processor executing the computer program to carry out the steps of the above method.
The foregoing is merely illustrative of the best embodiments of the present invention, and the present invention is not limited thereto, but any changes or substitutions easily contemplated by those skilled in the art within the scope of the present invention should be construed as falling within the scope of the present invention.
What is not described in detail in the present specification belongs to the known technology of those skilled in the art.
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