CN112527007A - Direct self-adaptive fuzzy logic control method for inhibiting wing rock caused by large attack angle - Google Patents
Direct self-adaptive fuzzy logic control method for inhibiting wing rock caused by large attack angle Download PDFInfo
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- 238000005096 rolling process Methods 0.000 claims abstract description 10
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- G05D1/08—Control of attitude, i.e. control of roll, pitch, or yaw
- G05D1/0808—Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft
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Abstract
The invention provides a direct self-adaptive fuzzy logic control method for inhibiting wing rolling caused by a large attack angle, relates to the technical field of airplane wing rolling control, solves the problems that the existing control method for the wing rolling caused by the large attack angle has complex controller design, and the problems of difficult parameter solution and limited control precision of the controller are solved, firstly, a wing rock motion model is established, then the wing rock motion model is converted into a nonlinear system model, and a direct adaptive fuzzy logic system is established, the invention adopts direct adaptive fuzzy logic control, only one adaptive law exists, the calculated amount and the complexity of the controller design are reduced, and a direct self-adaptive fuzzy logic system is constructed on the basis of the analysis of the wing rock motion model, so that strict convergence certification and stability analysis can be performed, and the reliability of a closed-loop control system is greatly improved.
Description
Technical Field
The invention relates to the technical field of airplane wing rock control, in particular to a direct self-adaptive fuzzy logic control system for inhibiting wing vibration caused by a large attack angle.
Background
The fighter plane is a military plane for eliminating enemy planes in the air, is a main machine type for military air combat, and occupies an irreplaceable position in both ground and air combat. The mission requirement of a high performance fighter is to operate normally at high angles of attack, and at high angles of attack the unsteady aerodynamic effects produce a wing roll phenomenon that manifests as extreme periodic oscillations in the roll. When the fighter plane enters a large attack angle area, the aerodynamic and flight characteristics are greatly changed, such as nonlinearity, asymmetry, cross coupling and the like of aerodynamic force, so that the stability and the maneuverability of the plane are sharply changed, a plurality of special flight phenomena occur, such as wing shaking, upward pitching, nose sideslip, over-stall rotation, deep stall, tail spin and the like, and the flight state is often dangerous and uncontrollable, such as separation as soon as possible, and unexpected serious consequences can be caused to pilots and fighters.
The traditional flight control method is that for example, most adaptive PID controllers based on a self-circulation wavelet neural network recognizer are designed based on a linear model, a local linear or global linear fitting method is adopted, the design of the controllers is complex, and the parameter of the controllers is difficult to solve, or as disclosed in China patent (publication No. CN111610794A) of 9.1.2020, a large attack angle dynamic inverse control method based on a sliding-film interference observer is adopted, aiming at the flight state of the large attack angle, a 'time scale separation' method is adopted, airplane state variables are decomposed into two groups of subsystems based on different time scales, the control laws are respectively solved by using the dynamic inverse method, and then the uncertainty of the dynamic inverse design method is compensated by combining a supercoiled sliding-mode interference observer, so that a stable controller of a fighter disturbed attitude system is designed. By reasonably selecting the parameters of the controller, the error can be stably bounded, the good tracking performance and stability of the flight control system under a large attack angle of the fighter are ensured, the dangerous states of deep stall, tail spin and the like are ensured to be changed in time, and the method has good reference significance for the practical application of engineering, but the control precision of the control method based on the interference observer is limited, so that the convergence and the stability of the closed-loop control system cannot be guaranteed by an exact theory.
Disclosure of Invention
In order to solve the problems that the controller is complex in design, the parameter solving of the controller is difficult and the control precision is limited in the existing control method aiming at the wing rolling caused by the large attack angle, the invention provides a direct self-adaptive fuzzy logic control method for inhibiting the wing rolling caused by the large attack angle, the complexity and the calculated amount of the controller design are reduced, the reliability of a control system is improved, and the stability of the wing within any given error is ensured.
In order to achieve the technical effects, the technical scheme of the invention is as follows:
a direct adaptive fuzzy logic control method for inhibiting wing rock caused by a large attack angle at least comprises the following steps:
s1, establishing a wing rock motion model;
s2, defining a standard form of a nonlinear system model, and converting the wing rock motion model into the nonlinear system model according to the standard form of the nonlinear system model;
s3, establishing a direct self-adaptive fuzzy logic system, and definitely inhibiting a direct self-adaptive fuzzy logic control target of the wing rock caused by a large attack angle;
s4, constructing error variables of each order of the direct self-adaptive fuzzy logic system and generating a weight error of an unknown parameter in the self-adaptive process;
s5, constructing a Lyapunov function by utilizing error variables of each order of a direct self-adaptive fuzzy logic system and weight errors of unknown parameters generated in a self-adaptive process, and making the Lyapunov function semi-positive;
s6, establishing a self-adaptive law of self-adaptive parameters in an online updating self-adaptive process by semi-negatively determining the time derivative of the Lyapunov function, and designing a control signal and a virtual controller of a wing rock motion model to ensure the stability of the system.
Preferably, the expression of the wing rock motion model in step S1 is:
where φ (t) represents the roll angle, u (t) represents the control signal, α represents the steady state aircraft angle of attack,representing an uncertain aerodynamic disturbance, KiI ═ 0, 1., 4 denotes a known constant, satisfying:
wherein q represents the free flow pressure, S represents the airfoil area, b represents the airfoil span, IxxShowing the rolling inertia moment, V showing the flying speed,the moment coefficient is represented as a dimensionless coefficient, i is 0, 1.
Preferably, the standard form of the nonlinear system model defined in step S2 is:
y(t)=x1(t)
wherein ,is a measurable state variable of a set of nonlinear systems; f. ofi:Ri→R,i=1,2,…,n;gn:Rn→ R represents the unknown in-system dynamics and unknown control gain, and y (t) epsilon R represents the output of the nonlinear system model; u (t) denotes a control signal.
Preferably, the process of converting the wing rock-and-roll motion model into the nonlinear system model satisfies the following steps:
order toAt the moment, the representation of a uniform variable t is omitted, and a mathematical model of the wing rock motion is converted into a nonlinear system model, wherein the expression is as follows:
wherein ,KiI ═ 0, 1., 4 denotes a known constant; α represents the steady state aircraft angle of attack; u (t) denotes a control signal.
Preferably, the direct adaptive fuzzy logic system of step S3 is:
P(χ(t))=λ*Tψ(χ(t))
wherein, χ (t) ═ χ1(t),χ2(t),...,χM(t)]T∈RMRepresenting a blurred input vector;a fuzzy weight vector representing an unknown parameter, # t (χ (t)) [ ψ [ #1(χ(t)),ψ2(χ(t)),…,ψN(χ(t))]T∈RNRepresents a known basis function vector, whose expression is:
l=1,2,…,i=1,2,…,M.
Preferably, the control targets in step S3 are:
where y (t) is defined as phi (t), where phi (t) denotes the roll angle of the aircraft, and ym(t) represents a planned roll angle; delta1Indicating the error, i.e. the roll angle phi (t) of the aircraft and the planned roll angle y as the time approaches infinitym(t) the error value is within the allowable error range [ - δ [ -d ]1,δ1]The roll angle phi (t) of the airplane can gradually converge into any given error range, and the control precision of the roll angle is improved.
Preferably, the error variables of each order of constructing the direct adaptive fuzzy logic system in step S4 are represented as:
zi(t),i=1,2,…,n;
z1(t)=y(t)-ym(t)
wherein ,ym(t) denotes a given output, αi(t), i equals 11(t) aircraft roll angle y (t) and planned roll angle ym(t) error value, z2(t) is a virtual controller α1(t) and the state variable x2(t), planned roll angular accelerationTo an error value therebetween.
Preferably, in step S4, the expression of the weight error of the unknown parameter generated in the adaptive process is:
wherein ,representing the weight error, theta, of the unknown parameter produced during the adaptation process*Represents an unknown parameter generated in the adaptation process, is a constant, theta (t) represents an adaptation parameter in the adaptation process,
wherein ,dependent on the fuzzy logic weight vector; di(ξi(t)), i ═ 1,2 depends on the approximation error of the wing rock motion model for the direct adaptive fuzzy logic system.
Preferably, the lyapunov function constructed in step S5 is:
wherein V (t) represents Lyapunov function, which is half positive, and adaptive law is constructed in the next step to ensure its derivativeSemi-negative, and:thereby enabling the aircraft roll angle output to track the planned roll angle output.
Preferably, the step S6 is performed by ensuring the time derivative of the Lyapunov functionSemi-negatively determining, and establishing an adaptive law expression of adaptive parameters in an online updating adaptive process as follows:
namely, carrying out real-time iterative updating through the derivative expression of the adaptive parameter theta (t); the control signal of the wing rock motion model and the expression of the virtual controller are designed to meet the following requirements:
u(t)=α2(t)
wherein :
wherein ,represents a known basis function vector, as defined by ψ (χ (t));and psil(χ (t)) is defined identically; n is a radical ofiRepresenting the number of pieces of user-defined fuzzy logic rules.
Compared with the prior art, the technical scheme of the invention has the beneficial effects that:
the invention provides a direct self-adaptive fuzzy logic control method for inhibiting wing rock caused by a large attack angle, which comprises the steps of firstly establishing a wing rock motion model, then converting the wing rock motion model into a nonlinear system model, and establishing a direct self-adaptive fuzzy logic system.
Drawings
FIG. 1 is a flow chart of a direct adaptive fuzzy logic control method for suppressing the rocking of the wing caused by a large attack angle according to an embodiment of the present invention;
fig. 2 shows a schematic view of an angle of attack α and a roll axis of an aircraft according to an embodiment of the invention.
Detailed Description
The drawings are for illustrative purposes only and are not to be construed as limiting the patent;
for better illustration of the present embodiment, certain parts of the drawings may be omitted, enlarged or reduced, and do not represent actual dimensions;
it will be understood by those skilled in the art that certain well-known descriptions of the figures may be omitted.
The technical solution of the present invention is further described below with reference to the accompanying drawings and examples.
Example 1
The positional relationships depicted in the drawings are for illustrative purposes only and are not to be construed as limiting the present patent;
the flow diagram of the direct adaptive fuzzy logic control method for suppressing the wing rock caused by the large attack angle shown in fig. 1 includes the following steps:
s1, establishing a wing rock motion model; the expression of the wing rock motion model is as follows:
where φ (t) represents the roll angle, u (t) represents the control signal, α represents the steady state aircraft angle of attack,representing an uncertain aerodynamic disturbance, KiI ═ 0, 1., 4 denotes a known constant, satisfying:
wherein q represents the free flow pressure, S represents the airfoil area, b represents the airfoil span, IxxShowing the rolling inertia moment, V showing the flying speed,the moment coefficient is represented as a dimensionless coefficient, i is 0, 1.
S2, defining a standard form of a nonlinear system model, and converting the wing rock motion model into the nonlinear system model according to the standard form of the nonlinear system model;
the standard form of the nonlinear system model defined in step S2 is:
y(t)=x1(t)
wherein ,is a measurable state variable of a set of nonlinear systems; f. ofi:Ri→R,i=1,2,...,n;gn:Rn→ R represents the unknown in-system dynamics and unknown control gain, and y (t) epsilon R represents the output of the nonlinear system model; u (t) denotes a control signal.
The process of converting the wing rock motion model into the nonlinear system model meets the following requirements:
order toAt the moment, the representation of a uniform variable t is omitted, and a mathematical model of the wing rock motion is converted into a nonlinear system model, wherein the expression is as follows:
wherein ,KiI ═ 0,1, …,4 denotes a known constant; α represents the steady state aircraft angle of attack; u (t) denotes a control signal; specifically, a schematic diagram of the angle of attack α and the roll axis of the aircraft is shown in fig. 2.
S3, establishing a direct self-adaptive fuzzy logic system, and definitely inhibiting a direct self-adaptive fuzzy logic control target of the wing rock caused by a large attack angle; the direct adaptive fuzzy logic system of step S3 is:
P(χ(t))=λ*Tψ(χ(t))
wherein, χ (t) ═ χ1(t),χ2(t),...,χM(t)]T∈RMRepresenting a blurred input vector;a fuzzy weight vector representing an unknown parameter, # t (χ (t)) [ ψ [ #1(χ(t)),ψ2(χ(t)),...,ψN(χ(t))]T∈RNRepresents a known basis function vector, whose expression is:
l=1,2,...,i=1,2,...,M.
The direct self-adaptive fuzzy logic control target for inhibiting the wing rock caused by a large attack angle is as follows:
where y (t) is defined as phi (t), where phi (t) denotes the roll angle of the aircraft, and ym(t) represents a planned roll angle; delta1Indicating the error, i.e. the roll angle phi (t) of the aircraft and the planned roll angle y as the time approaches infinitym(t) the error value is within the allowable error range [ - δ [ -d ]1,δ1]The roll angle phi (t) of the airplane can gradually converge into any given error range, and the control precision of the roll angle is improved;
S4, constructing error variables of each order of the direct self-adaptive fuzzy logic system and generating a weight error of an unknown parameter in the self-adaptive process;
the error variables of each order for constructing the direct adaptive fuzzy logic system are expressed as follows:
zi(t),i=1,2,…,n;
z1(t)=y(t)-ym(t)
wherein ,ym(t) denotes a given output, αi(t), i equals 11(t) aircraft roll angle y (t) and planned roll angle ym(t) error value, z2(t) is a virtual controller α1(t) and the state variable x2(t), planned roll angular accelerationTo an error value therebetween.
The expression of the weight error of the unknown parameter generated in the adaptive process is:
wherein ,representing the weight error, theta, of the unknown parameter produced during the adaptation process*Represents an unknown parameter generated in the adaptation process, is a constant, theta (t) represents an adaptation parameter in the adaptation process,
wherein ,dependent on the fuzzy logic weight vector; di(ξi(t)), i ═ 1,2 depends on the approximation error of the wing rock motion model for the direct adaptive fuzzy logic system.
S5, constructing a Lyapunov function by utilizing error variables of each order of a direct self-adaptive fuzzy logic system and weight errors of unknown parameters generated in a self-adaptive process, and making the Lyapunov function semi-positive;
the Lyapunov function constructed was:
wherein V (t) represents Lyapunov function, which is half positive definite, and adaptive law is constructed in next step to ensure its derivativeSemi-negative, and:thereby enabling the aircraft roll angle output to track the planned roll angle output.
S6, establishing a self-adaptive law of self-adaptive parameters in an online updating self-adaptive process by semi-negatively determining the time derivative of the Lyapunov function, and designing a control signal and a virtual controller of a wing rock motion model to ensure the stability of the system.
By ensuring the time derivative of the Lyapunov functionSemi-negatively determining, and establishing an adaptive law expression of adaptive parameters in an online updating adaptive process as follows:
namely, carrying out real-time iterative updating through the derivative expression of the adaptive parameter theta (t); the control signal of the wing rock motion model and the expression of the virtual controller are designed to meet the following requirements:
u(t)=α2(t)
wherein :
wherein ,represents a known basis function vector, as defined by ψ (χ (t));and psil(χ (t)) is defined identically; n is a radical ofiRepresenting user-defined fuzzy logic rulesThe number of strips.
The positional relationships depicted in the drawings are for illustrative purposes only and are not to be construed as limiting the present patent;
it should be understood that the above-described embodiments of the present invention are merely examples for clearly illustrating the present invention, and are not intended to limit the embodiments of the present invention. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. And are neither required nor exhaustive of all embodiments. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection scope of the claims of the present invention.
Claims (10)
1. A direct adaptive fuzzy logic control method for inhibiting wing rock caused by a large attack angle is characterized by at least comprising the following steps:
s1, establishing a wing rock motion model;
s2, defining a standard form of a nonlinear system model, and converting the wing rock motion model into the nonlinear system model according to the standard form of the nonlinear system model;
s3, establishing a direct self-adaptive fuzzy logic system, and definitely inhibiting a direct self-adaptive fuzzy logic control target of the wing rock caused by a large attack angle;
s4, constructing error variables of each order of the direct self-adaptive fuzzy logic system and generating a weight error of an unknown parameter in the self-adaptive process;
s5, constructing a Lyapunov function by utilizing error variables of each order of a direct self-adaptive fuzzy logic system and weight errors of unknown parameters generated in a self-adaptive process, and making the Lyapunov function semi-positive;
s6, establishing a self-adaptive law of self-adaptive parameters in an online updating self-adaptive process by semi-negatively determining the time derivative of the Lyapunov function, and designing a control signal and a virtual controller of a wing rock motion model to ensure the stability of the system.
2. The direct adaptive fuzzy logic control method for suppressing the wing rock induced by the large attack angle according to claim 1, wherein the expression of the wing rock motion model in step S1 is:
where φ (t) represents the roll angle, u (t) represents the control signal, α represents the steady state aircraft angle of attack,representing an uncertain aerodynamic disturbance, KiI ═ 0, 1., 4 denotes a known constant, satisfying:
3. The direct adaptive fuzzy logic control method for suppressing the wing rock induced by the large attack angle according to claim 2, wherein the standard form of the nonlinear system model defined in the step S2 is:
y(t)=x1(t)
4. The direct adaptive fuzzy logic control method for inhibiting the wing rock caused by the large attack angle according to claim 3, wherein the process of converting the wing rock motion model into the nonlinear system model satisfies the following steps:
let x1=φ,At the moment, the representation of a uniform variable t is omitted, and a mathematical model of the wing rock motion is converted into a nonlinear system model, wherein the expression is as follows:
wherein ,KiI ═ 0, 1., 4 denotes a known constant; α represents the steady state aircraft angle of attack; u (t) denotes a control signal.
5. The direct adaptive fuzzy logic control method for suppressing the wing rock induced by the large attack angle according to claim 4, wherein the direct adaptive fuzzy logic system of the step S3 is:
P(χ(t))=λ*Tψ(χ(t))
wherein, χ (t) ═ χ1(t),χ2(t),...,χM(t)]T∈RMRepresenting a blurred input vector;a fuzzy weight vector representing an unknown parameter, # t (χ (t)) [ ψ [ #1(χ(t)),ψ2(χ(t)),…,ψN(χ(t))]T∈RNRepresents a known basis function vector, whose expression is:
l=1,2,...,i=1,2,...,M.
6. The direct adaptive fuzzy logic control method for suppressing the wing rock induced by the large attack angle according to claim 5, wherein the control targets in the step S3 are:
where y (t) is defined as phi (t), where phi (t) denotes the roll angle of the aircraft, and ym(t) represents a planned roll angle; delta1Indicating an error.
7. The direct adaptive fuzzy logic control method for suppressing the wing rock induced by the large attack angle according to claim 6, wherein the error variables of each order for constructing the direct adaptive fuzzy logic system in step S4 are expressed as:
zi(t),i=1,2,...,n;
z1(t)=y(t)-ym(t)
wherein ,ym(t) denotes a given output, αi(t), i equals 1, …, n denotes a virtual controller, and when n equals 2, z equals1(t) aircraft roll angle y (t) and planned roll angle ym(t) error value, z2(t) is the virtual controller and state variable x2(t), planned roll angular accelerationTo an error value therebetween.
8. The direct adaptive fuzzy logic control method for suppressing the wing rock induced by the large attack angle according to claim 7, wherein the expression of the weight error of the unknown parameter generated in the adaptive process in step S4 is as follows:
wherein ,representing the weight error, theta, of the unknown parameter produced during the adaptation process*Represents an unknown parameter generated in the adaptation process, is a constant, theta (t) represents an adaptation parameter in the adaptation process,
9. The direct adaptive fuzzy logic control method for suppressing high incidence induced wing rock rolling according to claim 8, wherein the lyapunov function constructed in step S5 is:
10. the direct adaptive fuzzy logic control method for suppressing high incidence induced wing rock rolling according to claim 9, wherein step S6By ensuring the time derivative of the Lyapunov functionSemi-negatively determining, and establishing an adaptive law expression of adaptive parameters in an online updating adaptive process as follows:
namely, carrying out real-time iterative updating through the derivative expression of the adaptive parameter theta (t); control signal u (t) and virtual controller alpha for designing wing rock motion modeliThe expression of (t) satisfies:
u(t)=α2(t)
wherein :
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