CN112965510B - Full-channel active disturbance rejection control method for high-speed maneuvering of aircraft - Google Patents
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- G—PHYSICS
- G05—CONTROLLING; REGULATING
- G05D—SYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
- G05D1/00—Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
- 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
- G05D1/0816—Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft to ensure stability
- G05D1/0825—Control of attitude, i.e. control of roll, pitch, or yaw specially adapted for aircraft to ensure stability using mathematical models
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- G—PHYSICS
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- G05D—SYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
- G05D1/00—Control of position, course or altitude of land, water, air, or space vehicles, e.g. automatic pilot
- G05D1/10—Simultaneous control of position or course in three dimensions
- G05D1/101—Simultaneous control of position or course in three dimensions specially adapted for aircraft
Abstract
The invention provides a full-channel active disturbance rejection control method for high-speed maneuvering of an aircraft, which comprises the following 4 steps: 1. establishing a dynamic model of the high-speed maneuvering aircraft facing active disturbance rejection control; 2. designing extended state observer to estimate total disturbanceAnd3. designing a high-speed maneuvering control virtual control quantity for online compensation of total disturbance; 4. and controlling the design of the distribution scheme. The method can realize the online estimation and compensation of the nonlinear uncertainty dynamic, the coupling uncertainty dynamic and the external disturbance of each channel, realize the expected dynamic performance of a closed-loop system and ensure the high-mobility control of the aircraft to have good dynamic quality.
Description
Technical Field
The invention belongs to the field of control design methods of aircrafts, and relates to a control method of high-speed maneuvering of an aircraft and a decoupling control design method with pneumatic parameter nonlinear uncertainty and multichannel coupling uncertainty. The technology is an effective solution for realizing overload control in high-speed aircraft maneuvering by using an active disturbance rejection control method and ensuring the stability of a course channel and a transverse channel.
Background
High-speed maneuver is one of the necessary capabilities of a high-performance aircraft, and large overload control during the high-speed maneuver often faces strong nonlinear uncertainty of pneumatic parameters and multi-channel coupling. Therefore, how to realize the accurate control of large overload during high-speed maneuvering and ensure the stability of each channel under multi-channel coupling has great challenge. The existing methods mainly include PID (proportional-integral-derivative) control, dynamic inverse method based on model information, and the like, and have the following limitations:
1. the dynamic inverse design needs a pneumatic parameter model to be carried out, and the uncertainty considered by the existing anti-interference method is mainly external disturbance of the system and the like;
2. the normal overload change rate is not estimated in the control design, and the normal overload proportional-differential feedback control is not adopted
Therefore, it is difficult to ensure the overload control accuracy and flight stability when the aerodynamic characteristics change rapidly in high-speed maneuvers.
In order to solve the problems, the invention provides a three-channel control method based on the normal large overload control, the stable course sideslip angle and the stable transverse roll angle rate of the active disturbance rejection control aiming at the control problem of the high-speed maneuvering of the aircraft, and the method can realize the online estimation and compensation of the nonlinear uncertainty dynamic, the coupling uncertainty dynamic and the external disturbance of each channel and ensure that the high-speed maneuvering of the aircraft has good dynamic quality.
The invention content is as follows:
the technical problems solved by the invention are as follows: a three-channel control method based on active disturbance rejection control, normal large overload control, stable course sideslip angle and stable transverse roll angle rate is provided, a three-order extended state observer is utilized to estimate overload change rate and total disturbance in a normal channel, and therefore a proportional-differential feedback algorithm combining online compensation disturbance and overload is adopted; estimating the change rate of the sideslip angle and total disturbance by using a three-order extended state observer in an aeronautical direction channel, and adopting a proportional-differential feedback algorithm combining compensation disturbance and sideslip angle; estimating the roll angle rate and the total disturbance by using a second-order extended state observer in a transverse channel, and adopting a compensation disturbance and roll angle rate proportional feedback algorithm; the algorithm realizes the online estimation and compensation of the nonlinear unknown dynamics, the coupling uncertainty dynamics and the external disturbance of each channel, and realizes the expected dynamic performance of a closed-loop system.
The technical solution of the invention comprises the following 4 steps:
establishing a dynamic model of a high-speed maneuvering aircraft facing active disturbance rejection control in the first step
The high-speed maneuvering control targets are as follows: control of normal directionOverload nzSmooth trace instruction valueWhile controlling the sideslip angle β to remain at 0 and the roll angle rate p to remain at 0. For this purpose, the active disturbance rejection control design of the high-speed maneuver is performed for the following flight dynamics models:
wherein ω ∈ R3×1Is a three-dimensional angular rate vector of the aircraft, alpha belongs to R as an aircraft attack angle, beta belongs to R as an aircraft sideslip angle, V belongs to R as an aircraft rate, h belongs to R as an aircraft height, and delta belongs to R as an aircraft altitudeeE R is the elevator deflection angle, delta, of the aircraftaE is R is the rudder deflection angle delta of the aileron of the aircraftrE is R is the rudder deflection angle of the aircraft, FTBelongs to the range of the thrust vector of the aircraft, deltayBelongs to the field of the thrust angle 1, delta of the aircraft as RzBelongs to the field of the thrust angle 2, n of the aircraft as RzE R is the normal overload of the aircraft, p E R is the roll angle rate of the aircraft,derivative of normal overload, omega, of aircraftβE R is the derivative of the sideslip angle of the aircraft,a control input gain matrix for the aircraft normal to the overload channel,a control input gain matrix for the aircraft sideslip angle channel,a gain matrix is input for control of the aircraft roll rate channel.
In the aircraft model (1), (n)zBeta, p) is the controlled output quantity (delta)e,δa,δr) For rudder deflection angle input of aircraft systems, (F)T,δz,δy) As a thrust vector input to the aircraft system,
andthe sum effect of uncertain dynamics and external disturbances in the overload path, the sideslip angle path, and the roll rate path, respectively (hereinafter abbreviated as "roll rate path" respectively)And)。
designing three parallel Extended State Observers (ESOs) to simultaneously correct total disturbanceAndand carrying out online estimation.
Overload channel ESO:wherein the content of the first and second substances,is nZIs determined by the estimated value of (c),is thatIs determined by the estimated value of (c),is the total disturbance of overloadAn estimate of (d). The parameter is taken asThe bandwidth is estimated for the adjustable disturbance,
sideslip passage ESO:wherein z isβ1Is an estimate of beta, zβ2Is omegaβEstimate of zβ3Is total disturbance of sideslipAn estimate of (d). The parameter is taken asωβAnd > 0 is the adjustable disturbance estimation bandwidth.
Rolling channel ESO:wherein z isp1Is an estimate of p, zp2Is total perturbation of rollingAn estimate of (d). Taking the parameter as betap1=2ωp,ωpAnd > 0 is the adjustable disturbance estimation bandwidth.
The third step: designing virtual control quantity of high-speed maneuvering control for compensating total disturbance online
Obtaining total disturbance by using ESOAndafter estimation, a virtual control quantity with disturbance compensation and feedback control is designed:
in the formulaTo compensate for the total disturbance of the system in the control law,in order to be an overload instruction,in the form of a derivative of the overload command,in order to overload the channel proportional feedback gain,for the overload channel differential feedback gain, kβpProportional feedback gain, k, for the sideslip angle channelβdFor the differential feedback gain, k, of the sideslip angle channelppAnd (4) proportionally feeding back the gain for the yaw rate channel.
(5) The parameters in (1) are taken as:whereinkβ>0 and kppAnd the adjustable parameter of the feedback law is more than 0.
The fourth step: control distribution scheme design
The virtual control quantity obtained from equation (5)To assign the required rudder deflection angle inputAnd thrust vector inputThe control action generated by the cooperation of the control device and the aircraft is enabled to be as close as possible to the virtual control quantity required by the flight control.
Virtual control quantityAngle of departure from rudder inputAnd thrust vector inputThe relationship of (1) is:
is provided withIs composed ofThe first three columns of (a) make up a matrix,is composed ofThe last two columns of (a) form a matrix,the control allocation scheme proceeds as follows.
(I) Solving for corresponding rudder deflection angles
The thrust vector control input maintains the value of the previous sampling moment, and the control capability of the lifting control surface is limited when high-speed maneuvering pulling is carried out, so that the control is mainly carried out by means of thrust. Therefore, the required rudder deflection angle input (δ) is obtained by the following equatione1,δa1,δr1) Comprises the following steps:
wherein, FT,tpE R is the thrust of the sampling moment before the moment t, deltay,tpEpsilon R is thrust angle 1, delta of sampling moment before t momentz,tpE R is the thrust angle 2 at the sampling instant before the instant t,is composed ofThe inverse matrix of (c).
Further, the rudder deflection angle input satisfying the clipping condition is obtained by the following formula:
(II) solving for the required thrust vector input magnitude
Then by the following equation
Solving for the required thrust vector control input FTAnd (delta)y,δz) The method comprises the following specific steps:
first, a required thrust vector input is determined (F)T1,δy1,δz1) The method specifically comprises the following steps:
[FT,δy,δz]=[FT1,δy1,δz1], (12)
The rudder deflection angle and thrust vector inputs required for the high-speed maneuvering control are obtained by the above-described (8), (12) to (15).
Compared with the prior art, the invention has the advantages that:
1. the invention does not depend on the aerodynamic parameter model of the aircraft and the dynamic inverse calculation, exceptThe nominal value of the gain matrix needs to be controlled, i.e.The nominal value of (2) does not need other specific model information, and the dependency on the model is greatly reduced.
2. The real-time online estimation of the normal overload change rate is realized by designing the extended state observer, and then a normal overload proportional-differential feedback loop is designed.
3. The invention fully considers the influence of nonlinear unknown dynamics, coupling uncertainty dynamics, external disturbance and the like of each channel on the flight, and can realize the consistency of dynamic response and control precision of high-speed maneuvering flight in the presence of uncertain dynamics, disturbance and the like by designing three extended state observers working in parallel to carry out real-time estimation and compensation of the disturbance.
Drawings
FIG. 1 is a block diagram of the aircraft high-speed maneuvering full-channel active disturbance rejection control provided by the invention.
FIG. 2 is a flow chart of the design of the aircraft high-speed maneuvering full-channel active disturbance rejection control provided by the invention.
FIG. 3 is a response curve for normal overload, side slip angle, and roll rate.
FIG. 4 is a graph of the variation of the aircraft control surface declination and thrust vector control input.
FIG. 5, FIG. 6 and FIG. 7 are the state and "total disturbance" estimates of the extended state observers for the normal channel, the course channel and the lateral channel, respectively.
The symbols are as follows:
t: time;
α ∈ R: angle of attack; beta epsilon R: a sideslip angle; v epsilon R: the speed of the aircraft relative to the air;
h epsilon R: the altitude of the aircraft;
p ∈ R: roll rate, q ∈ R: pitch rate, R ∈ R: yaw rate;
ω=[p,q,r]T: an angular rate vector;
δee.g. R: an elevator declination angle; deltaaE.g. R: an aileron rudder deflection angle; deltarE.g. R: rudder deflection angle;
FTe.g. R: a thrust force; deltayE.g. R: a thrust angle 1; deltazE.g. R: a thrust angle 2;
FT,tpe.g. R: thrust at a sampling moment before the moment t;
δy,tpe.g. R: a thrust angle 1 at a sampling time before the time t;
δz,tpe.g. R: a thrust angle 2 at a sampling moment before the moment t;
nze.g. R: normal overload;
Detailed Description
The control block diagram is shown in figure 1, and the controller design flow diagram is shown in figure 2.
In order to test the practicability of the method, a simulation experiment is carried out by taking a typical thrust vector aircraft high-speed maneuver as an example.
Simulation conditions are as follows:
the flying height of the aircraft is 1500 meters, and the flying speed is 300 meters/second. The normal overload command is:
the method comprises the following specific implementation steps:
1. the initial values of ESO (2) - (4) are set as follows:
and the bandwidth of ESOs (2) - (4) is designed as:
ωnZ=15;ωβ=15;ωp=15,
thereby calculating the output of ESO (2) - (4)
2. Substituting the outputs of ESOs (2) - (4) into equation (5) to calculate the virtual control quantity with disturbance compensation feedback control, i.e.
Wherein the parameters are taken as
3. (u) obtained in step 21,u2,u3) Bringing in (7) to obtain the required rudder deflection angle (delta)e1,δa1,δr1) Comprises the following steps:
and further obtaining the rudder deflection angle input meeting the amplitude limiting condition through the following formula:
Then, the required thrust vector input (F) is obtained through (11)T1,δy1,δz1):
Finally, obtaining the thrust vector input (F) meeting the limiting condition through (12) - (15)T,δy,δz)。
Fig. 3-7 show simulation results. As can be seen from FIG. 3, the control law proposed by the present invention can make the normal overload track its command quickly and stably in the presence of external disturbance and model uncertainty, and ensure that the sideslip angle and the roll angle rate are kept near zero, the estimation curve of FIG. 5 shows that the control method proposed by the present invention has the capability of estimating the normal overload change rate and the "total disturbance" of its channel in real time. Accordingly, FIGS. 6 and 7 show that the proposed control method of the present invention has good capability of estimating the side-slip angle change rate and the "total disturbance" of the side-slip path, and the "total disturbance" of the roll angle rate path. And these "total disturbances" are quickly compensated for by feedback.
Claims (2)
1. A full-channel active disturbance rejection control method for high-speed maneuvering of an aircraft is characterized by comprising the following steps: the method comprises the following 4 steps:
the first step is as follows: establishing high-speed maneuvering aircraft dynamic model facing active disturbance rejection control
The high-speed maneuvering control targets are as follows: controlling normal overload nzMake it track of overload instructionsMeanwhile, controlling the sideslip angle beta to be kept at 0, and keeping the roll angle rate p at 0; for this purpose, the active disturbance rejection control design of the high-speed maneuver is performed for the following flight dynamics models:
wherein ω ∈ R3×1Is a three-dimensional angular rate vector of the aircraft, alpha belongs to R as an aircraft attack angle, beta belongs to R as an aircraft sideslip angle, V belongs to R as an aircraft rate, h belongs to R as an aircraft height, and delta belongs to R as an aircraft altitudeeE R is the elevator deflection angle, delta, of the aircraftaE is R is the rudder deflection angle delta of the aileron of the aircraftrE is R is the rudder deflection angle of the aircraft, FTBelongs to the range of the thrust vector of the aircraft, deltayBelongs to the field of the thrust angle 1, delta of the aircraft as RzBelongs to the field of the thrust angle 2, n of the aircraft as RzE R is the normal overload of the aircraft, p E R is the roll angle rate of the aircraft,derivative of normal overload, omega, of aircraftβE R is the derivative of the sideslip angle of the aircraft,a control input gain matrix for the aircraft normal to the overload channel,a control input gain matrix for the aircraft sideslip angle channel,inputting a gain matrix for control of an aircraft roll rate channel;
in the formula (1), (n)zBeta, p) is the controlled output quantity (delta)e,δa,δr) For rudder deflection angle input of aircraft systems, (F)T,δz,δy) As a thrust vector input to the aircraft system,
andthe sum effect of uncertain dynamics and external disturbances in the overload path, the sideslip angle path, and the roll rate path, respectively, are hereinafter abbreviated asAnd
designing the following three parallel extended state observers ESO to simultaneously carry out total disturbanceAndcarrying out online estimation;
wherein the content of the first and second substances,is nZIs determined by the estimated value of (c),is thatIs determined by the estimated value of (c),is the total disturbance of overloadAn estimated value of (d); the parameter is taken as The bandwidth is estimated for the adjustable disturbance,
wherein z isβ1Is an estimate of beta, zβ2Is omegaβEstimate of zβ3Is total disturbance of sideslipAn estimated value of (d); the parameter is taken as Estimating a bandwidth for the adjustable disturbance;
wherein z isp1Is an estimate of p, zp2Is total perturbation of rollingAn estimated value of (d); taking the parameter as betap1=2ωp,ωpThe disturbance estimation bandwidth is adjustable when the bandwidth is more than 0;
the third step: designing virtual control quantity of high-speed maneuvering control for compensating total disturbance online
Obtaining total disturbance by using ESOAndafter estimation, a virtual control quantity with disturbance compensation and feedback control is designed:
in the formulazβ3,zp2To compensate for the total disturbance of the system in the control law,in order to be an overload instruction,in the form of a derivative of the overload command,in order to overload the channel proportional feedback gain,for the overload channel differential feedback gain, kβpProportional feedback gain, k, for the sideslip angle channelβdFor the differential feedback gain, k, of the sideslip angle channelppProportional feedback gain for yaw rate channel;
the fourth step: control distribution scheme design
Obtaining the virtual control quantity according to the formula (5)To assign the required rudder deflection angle inputAnd thrust vector inputThe control action generated by the cooperation of the control device and the virtual control quantity required by the flight control is enabled to be close;
virtual control quantityAngle of departure from rudder inputAnd thrust vector inputThe relationship of (1) is:
2. the method for controlling full channel active disturbance rejection of an aircraft high speed maneuver according to claim 1, wherein: is provided withIs composed ofThe first three columns of (a) make up a matrix,is composed ofThe control distribution scheme of the matrix formed by the last two columns is carried out according to the following steps;
(I) solving for corresponding rudder deflection angles
The desired rudder deflection angle input (δ) is obtained bye1,δa1,δr1) Comprises the following steps:
wherein, FT,tpE R is the thrust of the sampling moment before the moment t, deltay,tpEpsilon R is thrust angle 1, delta of sampling moment before t momentz,tpE R is the thrust angle 2 at the sampling instant before the instant t,is composed ofThe inverse matrix of (d);
further, the rudder deflection angle input satisfying the clipping condition is obtained by the following formula:
(II) solving for the required thrust vector input magnitude
then by the following equation
Solving the required thrust vector control size and the thrust angle of the aircraft, and specifically comprising the following steps:
first, a required thrust vector input is determined (F)T1,δy1,δz1) The method specifically comprises the following steps:
[FT,δy,δz]=[FT1,δy1,δz1], (12)
the above-mentioned (8), (12) to (15) obtain rudder deflection angle and thrust vector inputs required for the high-speed maneuvering control.
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