CN114415707A - Wide-range flight active disturbance rejection control method based on attitude decoupling - Google Patents

Wide-range flight active disturbance rejection control method based on attitude decoupling Download PDF

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CN114415707A
CN114415707A CN202210040225.4A CN202210040225A CN114415707A CN 114415707 A CN114415707 A CN 114415707A CN 202210040225 A CN202210040225 A CN 202210040225A CN 114415707 A CN114415707 A CN 114415707A
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attitude
wide
disturbance
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switching
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CN114415707B (en
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许斌
程怡新
李玮奇
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Northwestern Polytechnical University
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05DSYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
    • G05D1/08Control of attitude, i.e. control of roll, pitch, or yaw
    • G05D1/0808Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft
    • G05D1/0816Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft to ensure stability
    • G05D1/0833Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft to ensure stability using limited authority control
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

Abstract

The invention relates to a wide-range flight active disturbance rejection control method based on attitude decoupling, which is used for solving the technical problem of poor practicability of the existing wide-range flight switching control method. Considering a wide-range flight attitude model with uncertainty and wind interference, obtaining a second-order attitude switching system by utilizing channel decoupling and modal division, and directly designing a multi-mode nonlinear switching controller; estimating lumped disturbance comprising system uncertainty, internal disturbance, decoupling function and external time-varying disturbance by using an extended state observer; designing an auto-disturbance rejection switching controller based on the extended state observer to ensure the effective estimation of the multi-mode controller on uncertainty and external time-varying disturbance; the method combines the characteristics of the wide-range flight multimode process, effectively improves the robustness of the controller by designing the wide-range flight active disturbance rejection switching control, realizes the effective switching of the multimode, ensures the flight safety, and is suitable for engineering application.

Description

Wide-range flight active disturbance rejection control method based on attitude decoupling
Technical Field
The invention relates to an aircraft control method, in particular to a wide-range flight active disturbance rejection control method based on attitude decoupling.
Background
With the rapid development of aerospace technology, particularly the continuous maturity of the air-breathing combined engine technology, an aircraft can take off horizontally from the ground to fly across regions in dense atmosphere and adjacent space. The aircraft can reach high supersonic speed in the wide-area flight process, has wide application prospect, can realize intercontinental passenger-carrying aviation, transoceanic rapid transportation and space travel commercially, and can realize global rapid strike in military.
In the wide-range flight process, the aircraft speed range is subjected to subsonic velocity, supersonic velocity and hypersonic velocity, the airspace is subjected to a troposphere, a stratosphere and an intermediate layer, the flight environment is complex and changeable, the engine generates power mode conversion, the overall structure has multi-mode characteristics, and a switching controller needs to be designed to meet the requirements of the aircraft under different modes and the smooth conversion of the modes. The flight system has strong uncertainty and the wide-range flight process is easily affected by wind interference, and the flight safety is seriously threatened, so the uncertainty and the external disturbance influence need to be considered in the switching control. The existing control methods mostly take uncertainty and disturbance as lumped uncertainty, adopt intelligent systems such as a neural network and the like or a disturbance observer to carry out estimation compensation, are complex, have high requirements on computing resources and iteration speed, and have low feasibility in engineering. Therefore, the research of the switching control method for enhancing the reliability has important engineering significance and technical requirements for the large envelope stable flight research.
Disclosure of Invention
Technical problem to be solved
In order to overcome the defect that the control method of the existing wide-area flight switching system is poor in practicability, the invention provides a wide-area flight active disturbance rejection control method based on attitude decoupling.
Technical scheme
A wide-area flight active disturbance rejection control method based on attitude decoupling is characterized by comprising the following steps:
step 1: wide-range climbing aircraft attitude model with external disturbance considered
Figure BDA0003469896250000021
Wherein, the three-channel attitude angle theta is [ theta, psi, phi ═ theta]TAnd attitude angular velocity w ═ ωx,ωy,ωz]TIs a state variable, theta, psi, phi, omegax,ωy and ωzRespectively pitch angle, yaw angle, roll angleRoll angular velocity, yaw angular velocity and pitch angular velocity; fθ and FωIs an unknown smoothing function, and J is a rotational inertia function; u shapeM=[Mx,My,Mz]TIs a pneumatic moment vector, Mx,My and MzRoll moment, yaw moment and pitch moment respectively; dω=[dx,dy,dz]TIs an external time-varying perturbation vector;
converting the second equation in (1) into a linear equation by carrying out linear treatment on the aerodynamic moment coefficient
Figure BDA0003469896250000022
wherein ,fiI x, y, z is an unknown smoothing function, giIs a known smoothing function, δiIs the three-channel rudder deflection, miIs a system internal disturbance;
the first equation in (1) is transformed as follows
Figure BDA0003469896250000023
wherein ,hiX, y, z is a channel coupling function;
further deriving (3) and bringing (2) into availability
Figure BDA0003469896250000024
The state is defined as ζ ═ ζz,ζy,ζx]T=[θ,ψ,φ]TZ, y, x, describing the aircraft attitude model as a nonlinear switching system according to the dynamic mode conversion
Figure BDA0003469896250000031
wherein ,ui,σ(t)=[δz,σ(t),δy,σ(t),δx,σ(t)]TIs the control input, y is the system output; function σ (t): [0, ∞) → M ═ 1, 2., M } is the switching signal, M equals the number of divided modes, and σ (t) = l indicates that the l-th subsystem is active;
step 2: when σ (t) is l, the attitude controller design process is as follows
Defining trace instruction yd=[ydz,ydy,ydx]T=[θd,ψd,φd]TLet i be z, y, x. The tracking error is
ei=ζi-ydi (6)
State ζiCan be written as
Figure BDA0003469896250000032
wherein ,
Figure BDA0003469896250000033
is a lumped perturbation;
aiming at the composite disturbance, a reduced-order extended state observer is designed as
Figure BDA0003469896250000034
wherein ,zi1As an estimate of attitude angular velocity, zi2For lumped disturbance Di,lEstimate of, ω0Is the observer bandwidth;
the controller is designed as
Figure BDA0003469896250000035
wherein ,kpi,l and kdi,lIs a positive design parameter;
due to control of the gain function gi,lWith errors, a control design parameter K can be usedi,lInstead, the final controller is
Figure BDA0003469896250000036
And step 3: according to the control quantity u obtained in the step 2i,lAnd returning to the system attitude model (5) to perform tracking control on the system output y.
Advantageous effects
The invention provides a wide-range flight active disturbance rejection control method based on attitude decoupling. According to the method, uncertainty and wind interference existing in the wide-area climbing process of the aircraft are considered, the aircraft attitude motion model is converted into a second-order nonlinear switching system of three attitude channels through channel decoupling, an active disturbance rejection switching controller is designed based on an extended state observer, the aggregate estimation of the uncertainty and the external interference is completed, the robustness of the controller is improved, the active disturbance rejection control and PID control have natural succession advantages, and engineering implementation is facilitated. The invention has the beneficial effects that:
(1) a second-order nonlinear system of three attitude channels is obtained through channel decoupling, and a controller can be directly designed for the decoupled system sub-channels, so that the design steps are simplified, and engineering realization is facilitated;
(2) for the multi-mode characteristics of large envelope flight, mode division and switching signal design are carried out based on power mode conversion, and a multi-mode switching controller is designed based on switching signals, so that wide-area flight is facilitated;
(3) the system lumped disturbance is estimated and compensated based on the extended state observer, and three attitude channel controllers are designed by utilizing an estimation result, so that the robustness of the controllers is improved, and the engineering application is facilitated.
Drawings
The drawings are only for purposes of illustrating particular embodiments and are not to be construed as limiting the invention, wherein like reference numerals are used to designate like parts throughout.
FIG. 1 is a flow chart of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in further detail below with reference to the accompanying drawings and examples. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
Referring to fig. 1, the attitude decoupling-based wide-area flight active disturbance rejection control method specifically comprises the following steps:
step 1: a rocket turbine stamping three-combination aerospace vehicle is considered, and the wide-range flight process of the rocket turbine stamping three-combination aerospace vehicle can be divided into 4 sub-modes of a turbine mode, a sub-combustion stamping mode, a super-combustion stamping mode and a rocket mode. The attitude model of the aircraft with the external disturbance is
Figure BDA0003469896250000051
Wherein, the three-channel attitude angle theta is [ theta, psi, phi ═ theta]TAnd attitude angular velocity w ═ ωx,ωy,ωz]TIs a state variable, theta, psi, phi, omegax,ωy and ωzPitch angle, yaw angle, roll angular velocity, yaw angular velocity and pitch angular velocity, respectively; fθ and FωIs an unknown smoothing function, and J is a rotational inertia function; u shapeM=[Mx,My,Mz]TIs a pneumatic moment vector, Mx,My and MzRoll moment, yaw moment and pitch moment respectively; dω=[dx,dy,dz]TIs an external time-varying perturbation vector;
the expression of each function and vector is as follows
Figure BDA0003469896250000052
Figure BDA0003469896250000053
wherein ,JiX, y, and z are rotational inertia in x, y, and z directions, respectively; q is dynamic pressure, S is 334.73m2Is a reference area; l isb=18.288m,Lc24.384m are lateral and longitudinal reference lengths, respectively; alpha is alphaw,βwRespectively an additional attack angle and an additional sideslip angle under wind interference;
the pneumatic moment coefficient is subjected to linearization treatment
Figure BDA0003469896250000054
Wherein, alpha is an attack angle, and beta is a sideslip angle;
Figure BDA0003469896250000061
j=α,β,δx,δy,δz,ωx,ωy,ωzis a coefficient of aerodynamic moment, deltaiX, y and z are three-channel rudder offsets, and the delta term comprises parameters, model uncertainty and linearization errors;
converting the second equation in (1) into
Figure BDA0003469896250000062
wherein
Figure BDA0003469896250000063
Figure BDA0003469896250000064
Figure BDA0003469896250000065
The first equation in (1) is transformed as follows
Figure BDA0003469896250000066
wherein
Figure BDA0003469896250000067
Further deriving (4) and bringing (3) into availability
Figure BDA0003469896250000071
The state is defined as ζ ═ ζz,ζy,ζx]T=[θ,ψ,φ]TZ, y, x, describing the aircraft attitude model as a nonlinear switching system according to the dynamic mode conversion
Figure BDA0003469896250000072
wherein ,ui,σ(t)=[δz,σ(t),δy,σ(t),δx,σ(t)]TIs the control input, y is the system output; the function sigma (t) is a switching signal which belongs to {1,2, 3 and 4}, sequentially corresponds to a turbine mode, a sub-combustion punching mode, a super-combustion punching mode and a rocket mode, and when sigma (t) is l, and l is 1,2, 3 and 4, the first subsystem is activated;
step 2: when σ (t) is l, the attitude controller design process is as follows
Defining trace instruction yd=[ydz,ydy,ydx]T=[θd,ψd,φd]TLet i be z, y, x. The tracking error is
ei=ζi-ydi (7)
State ζiCan be written as
Figure BDA0003469896250000073
wherein ,
Figure BDA0003469896250000074
is a lumped perturbation;
aiming at the composite disturbance, a reduced-order extended state observer is designed as
Figure BDA0003469896250000075
wherein ,zi1As an estimate of attitude angular velocity, zi2For lumped disturbance Di,lEstimate of, ω0Is the observer bandwidth;
the controller is designed as
Figure BDA0003469896250000076
wherein ,kpi,lIs kdi,lAnd a positive design parameter;
due to control of the gain function gi,lWith errors, a control design parameter K can be usedi,lInstead, the final controller is
Figure BDA0003469896250000081
And step 3: according to the control quantity u obtained in the step 2i,lAnd returning to the system attitude model (6) to perform tracking control on the system output y.
While the invention has been described with reference to specific embodiments, the invention is not limited thereto, and various equivalent modifications or substitutions can be easily made by those skilled in the art within the technical scope of the present disclosure.

Claims (4)

1. A wide-area flight active disturbance rejection control method based on attitude decoupling is characterized by comprising the following steps:
step 1: wide-range climbing aircraft attitude model with external disturbance considered
Figure FDA0003469896240000011
Wherein, the three-channel attitude angle theta is [ theta, psi, phi ═ theta]TAnd attitude angular velocity w ═ ωxyz]TIs a state variable, theta, psi, phi, omegax,ωy and ωzPitch angle, yaw angle, roll angular velocity, yaw angular velocity and pitch angular velocity, respectively; fθ and FωIs an unknown smoothing function, and J is a rotational inertia function; u shapeM=[Mx,My,Mz]TIs a pneumatic moment vector, Mx,My and MzRoll moment, yaw moment and pitch moment respectively; dω=[dx,dy,dz]TIs an external time-varying perturbation vector;
converting the second equation in (1) into a linear equation by carrying out linear treatment on the aerodynamic moment coefficient
Figure FDA0003469896240000012
wherein ,fiI x, y, z is an unknown smoothing function, giIs a known smoothing function, δiIs the three-channel rudder deflection, miIs a system internal disturbance;
the first equation in (1) is transformed as follows
Figure FDA0003469896240000013
wherein ,hiX, y, z is a channel coupling function;
further deriving (3) and bringing (2) into availability
Figure FDA0003469896240000014
The state is defined as ζ ═ ζzyx]T=[θ,ψ,φ]TZ, y, x, describing the aircraft attitude model as a nonlinear switching system according to the dynamic mode conversion
Figure FDA0003469896240000021
wherein ,ui,σ(t)=[δz,σ(t)y,σ(t)x,σ(t)]TIs the control input, y is the system output; the function σ (t): [0, ∞) → M ═ 1,2, · M } is the switching signal, M equals the number of divided modes, and σ (t) → l indicates that the l-th subsystem is active;
step 2: when σ (t) is l, the attitude controller design process is as follows
Defining trace instruction yd=[ydz,ydy,ydx]T=[θddd]TLet i be z, y, x. The tracking error is
ei=ζi-ydi (6)
State ζiCan be written as
Figure FDA0003469896240000022
wherein ,
Figure FDA0003469896240000023
is a lumped perturbation;
aiming at the composite disturbance, a reduced-order extended state observer is designed as
Figure FDA0003469896240000024
wherein ,zi1As an estimate of attitude angular velocity, zi2For lumped disturbance Di,lEstimate of, ω0Is the observer bandwidth;
the controller is designed as
Figure FDA0003469896240000025
wherein ,kpi,l and kdi,lIs a positive design parameter;
due to control of the gain function gi,lWith errors, a control design parameter K can be usedi,lInstead, the final controller is
Figure FDA0003469896240000026
And step 3: according to the control quantity u obtained in the step 2i,lAnd returning to the system attitude model (5) to perform tracking control on the system output y.
2. A computer system, comprising: one or more processors, a computer readable storage medium, for storing one or more programs, wherein the one or more programs, when executed by the one or more processors, cause the one or more processors to implement the method of claim 1.
3. A computer-readable storage medium having stored thereon computer-executable instructions for, when executed, implementing the method of claim 1.
4. A computer program comprising computer executable instructions which when executed perform the method of claim 1.
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