CN114089637A - Multi-mode robust active disturbance rejection motion control method and system - Google Patents

Multi-mode robust active disturbance rejection motion control method and system Download PDF

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CN114089637A
CN114089637A CN202210063377.6A CN202210063377A CN114089637A CN 114089637 A CN114089637 A CN 114089637A CN 202210063377 A CN202210063377 A CN 202210063377A CN 114089637 A CN114089637 A CN 114089637A
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controlled system
control
model
disturbance
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CN114089637B (en
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王常虹
王冠
夏红伟
马广程
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Harbin Institute of Technology
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Shenrui Technology Beijing Co ltd
Harbin Institute of Technology
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    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
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Abstract

The invention relates to a multi-mode robust active disturbance rejection motion control method and a system. The method comprises the following steps which are executed in sequence: judging the current control mode of the controlled system according to the information of the controlled system; wherein the controlled system information comprises state information of a controlled system; determining an ideal control instruction corresponding to the control modality of the controlled system according to the control modality of the controlled system; and determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction. The control method and the system can realize that the control method can correct an ideal control instruction to obtain an actual control instruction, inhibit transient response of a controlled system when different modal control rules are converted, realize control of a multi-modal system, improve control precision and stability of the controlled system, and enable the multi-modal controlled system to have stronger robustness.

Description

Multi-mode robust active disturbance rejection motion control method and system
Technical Field
The invention relates to the technical field of motion control, in particular to a multi-mode robust active disturbance rejection motion control method and system.
Background
Motion control techniques are widely used in today's industry, such as motor motion control, numerically controlled machine tools, robotic control, etc. The motion control means controlling the amount of motion such as position/displacement, velocity, acceleration, and the like. Compared with other types of motion actuators, the motor adopted as the motion actuator has the advantages of simple structure, quick response, high precision and efficiency and the like, is beneficial to realizing high-performance motion control such as high speed or low speed, high precision and the like, and has wide application prospect in the fields of modern industry, civilian use, medical treatment, transportation, military use and the like.
Because the motion control system has the influence of factors such as friction, system parameter change, load disturbance force and the like, in particular to system nonlinear factors (such as signal measurement noise) and uncertain interference, the motion precision of the system is influenced to a great extent. Thus placing high demands on the performance of the motion controller.
At present, more and more advanced control algorithms are applied to the motion control research, and an iterative learning control algorithm, an adaptive robust control algorithm, a neural network control algorithm, an active disturbance rejection control algorithm and the like are common, wherein the active disturbance rejection control is regarded as a more effective technology.
In the prior art, the chinese invention patent "a fractional order active disturbance rejection motion control method based on an adjustable order filter" (publication No. CN108459507B, 25/05/2021) proposes a motion control method with flexible parameter adjustment and easy engineering implementation, and effectively improves the suppression capability of a motion control system on measurement noise and interference, but the model for the motion control method is relatively simple and does not consider the multi-modal characteristics.
The invention patent of china in the prior art "a design method for a multi-mode control system of an aircraft" (publication number CN104573182B, 12/08/2017) proposes a design method for a multi-mode control system of an aircraft, which can define and analyze the system in terms of functions, physics and software architecture, but does not give details about the design of a specific controller.
The paper "Adaptive tracking control for a class of systems with unknown switching nonlinearities" (ZHao X, ZHEN X, Niu B, et al. Adaptive tracking control for a class of systems with unknown functions [ J ]. Automatica, 2015, 2: 185-191.) used Adaptive backstepping techniques to construct state feedback controllers and Lyapunov functions to demonstrate their stability. The designed state feedback controller can ensure that all signals are bounded and the tracking error converges to a small neighborhood of the origin, but the controller design does not process system disturbance, and transient response of a controlled object can generate sudden change during mode switching, consume more energy and damage system execution mechanisms.
However, the active disturbance rejection motion control method in the related art does not consider the multi-modal characteristics of the system which are relatively complex and have practical engineering significance, and is difficult to suppress transient response sudden change of the execution mechanism, that is, the problems that the stability of the closed loop system is reduced and the control accuracy of the system is reduced due to sudden change of the control command during mode switching exist.
Disclosure of Invention
In view of this, the invention provides a multi-modal robust active disturbance rejection motion control method, which realizes control of a multi-modal system, improves control accuracy and stability of a controlled system, and enables the multi-modal controlled system to have stronger robustness.
The invention firstly provides a multi-modal robust active disturbance rejection motion control method, which comprises the following steps that are sequentially executed: judging the current control mode of the controlled system according to the information of the controlled system; wherein the controlled system information comprises state information of a controlled system; determining an ideal control instruction corresponding to the control modality of the controlled system according to the control modality of the controlled system; and determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction.
In one possible embodiment, the method further comprises: establishing a multi-modal controlled system model according to the control target of the controlled system; and determining the control mode of the controlled system according to the controlled system model and the control target of the controlled system.
In one possible embodiment, the method further comprises: establishing a controller model and a disturbance observer model; the control modes correspond to different control models and disturbance observer models; wherein, the disturbance observer model is used for estimating the disturbance parameters of the controlled system; and the controller model is used for determining an ideal control instruction corresponding to the current control mode of the controlled system according to the controlled system model and the disturbance parameters.
In a possible embodiment, the determining an actual control command of the controlled system according to the controlled system information and the ideal control command includes: and correcting the ideal control instruction according to the ideal control instruction and an actual control instruction corresponding to the previous control mode to obtain a corrected actual control instruction.
In a possible implementation manner, establishing a multi-modal controlled system model according to the control target of the controlled system includes: establishing a controlled system model as follows:
Figure 239208DEST_PATH_IMAGE001
wherein the content of the first and second substances,
Figure 562873DEST_PATH_IMAGE002
representing the controlled system model includes
Figure 139348DEST_PATH_IMAGE003
A dynamic equation
Figure 534558DEST_PATH_IMAGE004
Representing the controlled system model includes
Figure 83351DEST_PATH_IMAGE005
A number of different modalities;
Figure 827185DEST_PATH_IMAGE006
indicating status information
Figure 828639DEST_PATH_IMAGE007
The first derivative of (a);
Figure 824276DEST_PATH_IMAGE008
a state information vector composed of state information representing a controlled system;
Figure 227576DEST_PATH_IMAGE009
representing the system state vector obtained by using a radial basis function neural network algorithm RBFNN according to the state information vector
Figure 893044DEST_PATH_IMAGE010
A continuous function of (a);
Figure 381794DEST_PATH_IMAGE011
indicating status information
Figure 915543DEST_PATH_IMAGE012
Corresponding disturbance parameters;
Figure 173349DEST_PATH_IMAGE013
is shown as
Figure 26030DEST_PATH_IMAGE014
Control input in each mode, and actual instructions of the control method;
Figure 2076DEST_PATH_IMAGE015
and
Figure 73937DEST_PATH_IMAGE016
and representing the state output of the controlled system.
In one possible embodiment, the establishing a controller model and a disturbance observer model includes:
aiming at the controlled system model, designing
Figure 451829DEST_PATH_IMAGE017
A robust auto-disturbance-rejection motion controller corresponding to each mode; for the
Figure 459099DEST_PATH_IMAGE018
Then, the following disturbance observer model is established:
Figure 188021DEST_PATH_IMAGE019
the following controller models were established:
Figure 797994DEST_PATH_IMAGE020
wherein the content of the first and second substances,
Figure 30392DEST_PATH_IMAGE021
representing the control command corresponding to the first dynamic equation in the controlled system model,
Figure 802039DEST_PATH_IMAGE022
is a reference signal and represents a control target of a controlled system, and a tracking error is represented by
Figure 674049DEST_PATH_IMAGE023
Is that the disturbance observer aims at the state information
Figure 290975DEST_PATH_IMAGE024
The estimated parameters of the disturbance are used,
Figure 440197DEST_PATH_IMAGE025
is an observation error, suppose
Figure 117166DEST_PATH_IMAGE026
Is an estimate of the upper bound of the observation error,
Figure 227204DEST_PATH_IMAGE027
the first derivative of (a) is,
Figure 382242DEST_PATH_IMAGE028
is a hyperbolic tangent function; parameter(s)
Figure 651549DEST_PATH_IMAGE029
Figure 499420DEST_PATH_IMAGE030
Are all parameters which can be adjusted in the design process of the disturbance observer model,
Figure 844557DEST_PATH_IMAGE031
there is no practical physical significance for the intermediate quantities in the disturbance observer model design process.
In one possible embodiment, the establishing a controller model and a disturbance observer model includes:
for the
Figure 803286DEST_PATH_IMAGE032
Then, the following disturbance observer model is established:
Figure 661520DEST_PATH_IMAGE033
the following controller models were established:
Figure 680292DEST_PATH_IMAGE035
wherein the content of the first and second substances,
Figure 764922DEST_PATH_IMAGE021
representing the model of the controlled system
Figure 527342DEST_PATH_IMAGE036
The tracking error is expressed as
Figure 505662DEST_PATH_IMAGE037
Is a disturbanceDynamic watchers for status information
Figure 695335DEST_PATH_IMAGE038
The estimated parameters of the disturbance are used,
Figure 329579DEST_PATH_IMAGE039
is an observation error, suppose
Figure 817061DEST_PATH_IMAGE026
Is an estimate of the upper bound of the observation error,
Figure 853150DEST_PATH_IMAGE040
the first derivative of (a) is,
Figure 10462DEST_PATH_IMAGE041
is a hyperbolic tangent function;
Figure 132002DEST_PATH_IMAGE042
Figure 173907DEST_PATH_IMAGE043
are all adjustable parameters in the design process of a disturbance observer and a controller model,
Figure 798923DEST_PATH_IMAGE031
there is no practical physical significance for the intermediate quantities in the disturbance observer model design process.
In one possible embodiment, the establishing a controller model and a disturbance observer model includes:
for the
Figure 392716DEST_PATH_IMAGE044
Then, the following disturbance observer model is established:
Figure 735972DEST_PATH_IMAGE045
the following controller models were established:
Figure 332301DEST_PATH_IMAGE047
wherein the content of the first and second substances,
Figure 77403DEST_PATH_IMAGE048
representing the model of the controlled system
Figure 842097DEST_PATH_IMAGE049
The tracking error of the ideal control command corresponding to the dynamic equation is expressed as
Figure 672650DEST_PATH_IMAGE050
That the disturbance observer is directed to the state information
Figure 56358DEST_PATH_IMAGE051
The estimated parameters of the disturbance are used,
Figure 655966DEST_PATH_IMAGE052
is an observation error, suppose
Figure 591561DEST_PATH_IMAGE053
For switching errors, representing the difference between the ideal control command and the actual control command,
Figure 909410DEST_PATH_IMAGE054
in order to actually control the command, it is,
Figure 80497DEST_PATH_IMAGE055
estimated value of, parameter of
Figure 800192DEST_PATH_IMAGE056
Figure 906688DEST_PATH_IMAGE057
Are all adjustable parameters in the design process of a disturbance observer and a controller model,
Figure 711833DEST_PATH_IMAGE058
in designing for disturbance observer modelsIntermediate amount, has no practical physical meaning.
In a possible embodiment, the determining an actual control command of the controlled system according to the controlled system information and the ideal control command includes: when the absolute value of the switching error is less than or equal to a first threshold value, taking the ideal control command as an actual control command; when the absolute value of the switching error is larger than a first threshold value, the ideal control command is sent
Figure 437343DEST_PATH_IMAGE059
And correcting to obtain an actual control command.
In one possible embodiment, the ideal control command is used as the actual control command when the absolute value of the switching error is equal to or less than a first threshold, and the ideal control command is used when the absolute value of the switching error is greater than the first threshold
Figure 277123DEST_PATH_IMAGE059
And correcting to obtain an actual control command, wherein the method comprises the following steps:
Figure 492204DEST_PATH_IMAGE060
wherein
Figure 581383DEST_PATH_IMAGE061
Is an adjustable positive parameter.
The invention also provides a multi-modal robust active disturbance rejection motion control system, which is used for executing the control method and comprises the following steps: the control mode judging module is used for judging the control mode of the controlled system according to the information of the controlled system; wherein the controlled system information comprises state information of a controlled system; the ideal control instruction determining module is used for determining an ideal control instruction corresponding to the current control mode of the controlled system according to the current control mode of the controlled system; and the instruction correction module is used for determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction.
In one possible embodiment, the multi-modal robust auto-disturbance-rejection motion control system further includes: the controlled system model establishing module is used for establishing a multi-modal controlled system model according to a control target of the controlled system; and determining the control mode of the controlled system according to the controlled system model and the control target of the controlled system.
In one possible embodiment, the multi-modal robust auto-disturbance-rejection motion control system further includes: the controller model and disturbance observer model building module is used for building a controller model and a disturbance observer model; the control modes correspond to different control models and disturbance observer models; wherein, the disturbance observer model is used for estimating the disturbance parameters of the controlled system; and the controller model is used for determining an ideal control instruction corresponding to the current control mode of the controlled system according to the controlled system model and the disturbance parameters.
In a possible implementation manner, the instruction modification module is further configured to modify the ideal control instruction according to the ideal control instruction and an actual control instruction corresponding to a previous control modality, so as to obtain a modified actual control instruction.
The multi-mode robust active disturbance rejection motion control method can judge the current control mode of a controlled system according to the information of the controlled system, and determine an ideal control instruction corresponding to the current control mode of the controlled system according to the current control mode of the controlled system; and determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction. The control method can correct an ideal control instruction to obtain an actual control instruction, inhibit transient response of the controlled system when control rules of different modes are converted, realize control of the multi-mode system, improve control precision and stability of the controlled system, and enable the multi-mode controlled system to have strong robustness.
Other features and aspects of the present invention will become apparent from the following detailed description of exemplary embodiments, which proceeds with reference to the accompanying drawings.
Drawings
In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
Fig. 1 is a schematic diagram illustrating a multi-modal robust auto-disturbance-rejection motion control method according to an embodiment of the present invention.
Fig. 2 shows a flow chart of a multi-modal robust auto-disturbance-rejection motion control method according to an embodiment of the invention.
Fig. 3 shows a flow chart of a multi-modal robust auto-disturbance-rejection motion control method according to another embodiment of the present invention.
Fig. 4 shows a schematic diagram of a robust active disturbance rejection controller controlling a controlled system according to an embodiment of the present invention.
Detailed Description
Embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
It should be noted that, in the case of no conflict, the features in the following embodiments and examples may be combined with each other; moreover, based on the embodiments of the present invention, all other embodiments obtained by a person of ordinary skill in the art without any creative effort belong to the protection scope of the present invention.
It is noted that various aspects of the embodiments are described below within the scope of the appended claims. It should be apparent that the aspects described herein may be embodied in a wide variety of forms and that any specific structure and/or function described herein is merely illustrative. Based on the disclosure, one skilled in the art should appreciate that one aspect described herein may be implemented independently of any other aspects and that two or more of these aspects may be combined in various ways. For example, an apparatus may be implemented and/or a method practiced using any number of the aspects set forth herein. Additionally, such an apparatus may be implemented and/or such a method may be practiced using other structure and/or functionality in addition to one or more of the aspects set forth herein.
Fig. 1 is a schematic diagram illustrating a multi-modal robust auto-disturbance-rejection motion control method according to an embodiment of the present invention.
As shown in fig. 1, the actuator of the controlled object may feed back the motion state of the actuator to the controlled object, and the sensor may acquire the state information of the controlled object. The robust active-disturbance-rejection controller can construct a nominal controller according to a control target and a related control theory, estimate unknown disturbance of a system by using a nonlinear disturbance observer, and compensate the nominal controller to obtain the robust active-disturbance-rejection controller capable of realizing active disturbance rejection. The multi-modal robust active disturbance rejection motion control method can comprise a multi-modal switching mechanism, and the mechanism can judge the current mode of a controlled object according to the state information of the controlled object acquired by a sensor. The multi-mode robust active disturbance rejection motion control method can also be used for an event trigger mechanism under a multi-mode condition, the mechanism can determine an ideal control instruction corresponding to the current state according to state information of a controlled object acquired by a sensor, and the robust active disturbance rejection controller can correct the ideal control instruction according to the ideal control instruction and an actual control instruction corresponding to the previous control mode to obtain a corrected actual control instruction, and transmits the corrected actual control instruction to an execution mechanism through a control network, so that the motion control of the controlled object is realized, the execution mechanism is ensured not to generate sudden change within a certain threshold value, and the transient response of a controlled system is restrained when different control modes are converted. Fig. 2 shows a flow chart of a multi-modal robust auto-disturbance-rejection motion control method according to an embodiment of the invention.
The method comprises the following steps which are executed in sequence:
step S1: judging the current control mode of the controlled system according to the information of the controlled system; wherein the controlled system information comprises state information of a controlled system;
step S2: determining an ideal control instruction corresponding to the control modality of the controlled system according to the control modality of the controlled system;
step S3: and determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction.
Determining an ideal control instruction corresponding to the control modality of the controlled system according to the control modality of the controlled system by judging the control modality of the controlled system; and determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction. The control method can correct an ideal control instruction to obtain an actual control instruction, inhibit transient response of the controlled system when different modal control rules are converted, realize control of the multi-modal system, improve control precision and stability of the controlled system, and enable the multi-modal controlled system to have strong robustness.
In another possible embodiment, as shown in fig. 3, before step S1, step S0 may be further included.
Step S0 includes: establishing a multi-modal controlled system model according to the control target of the controlled system; determining a control mode of the controlled system according to the controlled system model and the control target of the controlled system;
establishing a controller model and a disturbance observer model; the control modes correspond to different control models and disturbance observer models; wherein, the disturbance observer model is used for estimating the disturbance parameters of the controlled system; and the controller model is used for determining an ideal control instruction corresponding to the current control mode of the controlled system according to the controlled system model and the disturbance parameters.
In a possible implementation manner, establishing a multi-modal controlled system model according to the control target of the controlled system includes: establishing a controlled system model as follows:
Figure 172901DEST_PATH_IMAGE062
wherein
Figure 287094DEST_PATH_IMAGE063
Representing the controlled system model includes
Figure 673076DEST_PATH_IMAGE003
A dynamic equation;
Figure 515130DEST_PATH_IMAGE064
representing the controlled system model includes
Figure 644760DEST_PATH_IMAGE005
A number of different modalities;
Figure 865657DEST_PATH_IMAGE065
indicating status information
Figure 688120DEST_PATH_IMAGE007
The first derivative of (a);
Figure 751891DEST_PATH_IMAGE066
a state information vector composed of state information representing a controlled system;
Figure 606583DEST_PATH_IMAGE067
representing the system state vector obtained by using a radial basis function neural network algorithm RBFNN according to the state information vector
Figure 744303DEST_PATH_IMAGE010
A continuous function of (a);
Figure 799984DEST_PATH_IMAGE011
indicating status information
Figure 288734DEST_PATH_IMAGE012
Corresponding disturbance parameters;
Figure 697850DEST_PATH_IMAGE013
is shown as
Figure 955656DEST_PATH_IMAGE068
Control input in each mode, and actual instructions of the control method;
Figure 182238DEST_PATH_IMAGE015
and
Figure 892705DEST_PATH_IMAGE069
and representing the state output of the controlled system.
In one possible embodiment, the controlled system may be, for example, a drone system, a robotic arm system, or the like, with motion control. For example, aiming at an unmanned aerial vehicle controlled system, a plurality of control modes of the unmanned aerial vehicle system can be determined according to control targets such as vertical rising, horizontal uniform flight, horizontal acceleration flight, horizontal deceleration flight, vertical falling and the like of the unmanned aerial vehicle system: a vertical rising mode, a horizontal constant-speed flight mode, a horizontal acceleration flight mode, a horizontal deceleration flight mode and a vertical falling mode. A multi-modal controlled system model of the drone may be established from the plurality of control targets of the drone.
In a possible implementation manner, when the controlled system is an unmanned aerial vehicle system, sufficient flight state information is acquired through actual flight experiments
Figure 856244DEST_PATH_IMAGE070
Obtaining state information vector formed by state information of controlled system and obtaining enough airplane control input data (or called control instruction)
Figure 234136DEST_PATH_IMAGE013
. For example, the flight status information of the drone system includes velocity, acceleration, angular velocity, and the like. Obtaining a fitting Function of the state vector of the controlled system by using a Radial Basis Function Neural Network (RBFNN) algorithm according to the state information vector
Figure 366040DEST_PATH_IMAGE071
And the expression is used for establishing a fitting function database under different modes and establishing a controlled system model according to the function. In a possible embodiment, the function of the state vector of the system to be controlled
Figure 829382DEST_PATH_IMAGE072
And storing the model into a database to prepare for subsequent controller model design.
And acquiring a large amount of motion control data of the controlled system through experiments to obtain a state information vector and control input data which are formed by state information of the controlled system. And obtaining a function of the state vector of the controlled system by using a radial basis function neural network RBFNN algorithm according to the state information vector, thereby establishing a multi-mode including system model. Therefore, the technical problems that a controlled system model designed in the related technology is relatively simple, the complex system multi-mode characteristics with practical engineering significance are not considered, the stability of the controlled system is poor and the control precision is low when the modes are switched are solved by establishing the multi-mode controlled system.
The RBFNN algorithm used in the process of establishing the multi-modal control system model is a commonly used algorithm with better approximation performance in the field, and is widely applied to neural network models in the fields of mode identification, nonlinear function approximation and the like. The invention obtains the function of the state vector of the controlled system by utilizing the radial basis function neural network according to the state information vector
Figure 580301DEST_PATH_IMAGE073
And the specific implementation of the same is not limiting.
In one possible embodiment, the establishing a controller model and a disturbance observer model includes:
aiming at the controlled system model, designing
Figure 812699DEST_PATH_IMAGE068
A robust auto-disturbance-rejection motion controller corresponding to each mode;
for the
Figure 115504DEST_PATH_IMAGE074
Then, the following disturbance observer model is established:
Figure 66143DEST_PATH_IMAGE019
the following controller models were established:
Figure 870019DEST_PATH_IMAGE020
wherein the content of the first and second substances,
Figure 956924DEST_PATH_IMAGE075
representing the control command corresponding to the first dynamic equation in the controlled system model,
Figure 696210DEST_PATH_IMAGE076
is a reference signal and represents a control target of a controlled system, and a tracking error is represented by
Figure 134145DEST_PATH_IMAGE077
Is that the disturbance observer aims at the state information
Figure 289182DEST_PATH_IMAGE015
The estimated parameters of the disturbance are used,
Figure 433856DEST_PATH_IMAGE025
is an observation error, suppose
Figure 16147DEST_PATH_IMAGE078
Is an estimate of the upper bound of the observation error,
Figure 738115DEST_PATH_IMAGE027
is the first derivative of (a) is,
Figure 696844DEST_PATH_IMAGE028
is a hyperbolic tangent function; parameter(s)
Figure 443827DEST_PATH_IMAGE079
Figure 462598DEST_PATH_IMAGE080
Are all adjustable parameters in the design process of a disturbance observer and a controller model,
Figure 671863DEST_PATH_IMAGE081
there is no practical physical significance for the intermediate quantities in the disturbance observer model design process.
Wherein, the function of the controlled system state vector in the disturbance observer model and the controller model
Figure 168703DEST_PATH_IMAGE082
It can be directly obtained from the fitting function database, and the invention is not particularly limited in this regard.
In one possible embodiment, the establishing a controller model and a disturbance observer model includes:
for the
Figure 22390DEST_PATH_IMAGE083
Then, the following disturbance observer model is established:
Figure 212063DEST_PATH_IMAGE084
the following controller models were established:
Figure 908623DEST_PATH_IMAGE035
wherein the content of the first and second substances,
Figure 209155DEST_PATH_IMAGE085
representing the control instruction corresponding to the ith dynamic equation in the controlled system model, and representing the tracking error as
Figure 166615DEST_PATH_IMAGE086
Is a disturbanceObserver for state information
Figure 527189DEST_PATH_IMAGE012
The estimated parameters of the disturbance are used,
Figure 711046DEST_PATH_IMAGE039
is an observation error, suppose
Figure 549689DEST_PATH_IMAGE087
Is an estimate of the upper bound of the observation error,
Figure 377968DEST_PATH_IMAGE040
is the first derivative of (a) is,
Figure 909443DEST_PATH_IMAGE088
is a hyperbolic tangent function;
Figure 315017DEST_PATH_IMAGE089
are all adjustable parameters in the design process of a disturbance observer and a controller model,
Figure 222930DEST_PATH_IMAGE081
there is no practical physical significance for the intermediate quantities in the disturbance observer model design process.
In one possible embodiment, the establishing a controller model and a disturbance observer model includes:
for the
Figure 656448DEST_PATH_IMAGE044
Then, the following disturbance observer model is established:
Figure 624404DEST_PATH_IMAGE045
the following controller models were established:
Figure 454956DEST_PATH_IMAGE047
wherein the content of the first and second substances,
Figure 697719DEST_PATH_IMAGE048
representing the model of the controlled system
Figure 562907DEST_PATH_IMAGE003
The tracking error of the ideal control command corresponding to the dynamic equation is expressed as
Figure 373868DEST_PATH_IMAGE090
Is that the disturbance observer aims at the state information
Figure 691717DEST_PATH_IMAGE091
The estimated parameters of the disturbance are used,
Figure 738170DEST_PATH_IMAGE052
is an observation error, suppose
Figure 457864DEST_PATH_IMAGE053
For switching errors, representing the difference between the ideal control command and the actual control command,
Figure 688995DEST_PATH_IMAGE013
in order to actually control the command, it is,
Figure 494139DEST_PATH_IMAGE092
is an estimate of, a parameter
Figure 344284DEST_PATH_IMAGE093
Figure 918485DEST_PATH_IMAGE094
Are all adjustable parameters in the design process of a disturbance observer and a controller model,
Figure 71248DEST_PATH_IMAGE058
there is no practical physical significance for the intermediate quantities in the disturbance observer model design process.
In this way, a controller model and a disturbance observer model are designed for the established multi-modal controlled system, and the technical problem that only the software system structure of the controller is defined in the related art but the specific controller design is not given in detail is solved.
In one possible implementation, the system state vector under different modes is established according to the controlled system model
Figure 98110DEST_PATH_IMAGE095
Fitting function of
Figure 751945DEST_PATH_IMAGE096
A database. A multi-mode switching mechanism is designed, when the system state information changes, in step S1, the current control mode of the controlled system is determined according to the controlled system information, that is, the controller of the current corresponding mode is started, and then the controller determines the ideal control instruction corresponding to the current control mode of the controlled system.
Therefore, different control modes correspond to different controllers, accuracy of control instructions output by the controllers is improved, and control precision is improved. In addition, when mode switching is considered in the design of the controller, transient response of a controlled system can generate sudden disturbance, and observation and estimation are carried out on the system disturbance, so that the technical problems that the system consumes more energy and can damage a system execution mechanism due to the disturbance are solved.
In a possible embodiment, the determining an actual control command of the controlled system according to the controlled system information and the ideal control command may include: and correcting the ideal control instruction according to the ideal control instruction and an actual control instruction corresponding to the previous control mode to obtain a corrected actual control instruction.
In a possible embodiment, the determining an actual control command of the controlled system according to the controlled system information and the ideal control command may include: when the absolute value of the switching error is less than or equal to a first threshold value, the ideal control command is sent
Figure 180653DEST_PATH_IMAGE097
As an actual control instruction; when the absolute value of the switching error is larger than a first threshold value, the ideal control command is sent
Figure 252121DEST_PATH_IMAGE048
And correcting to obtain an actual control command.
In one possible embodiment, the taking the ideal control command as an actual control command when the absolute value of the switching error is equal to or less than a first threshold, and correcting the ideal control command to obtain the actual control command when the absolute value of the switching error is greater than the first threshold includes:
Figure 31858DEST_PATH_IMAGE098
wherein
Figure 223805DEST_PATH_IMAGE099
Is an adjustable positive parameter.
Thus, when the absolute value of the switching error is less than or equal to the first threshold, the ideal control command is sent
Figure 507019DEST_PATH_IMAGE100
As an actual control instruction; when the absolute value of the switching error is larger than a first threshold value, the ideal control command is sent
Figure 267164DEST_PATH_IMAGE101
And correcting to obtain an actual control command. And suppressing the transient response of the controlled system when different control modes are switched. When the mode of the controlled system is switched, the ideal control instruction which is to be input into the system by the controller is corrected, specifically, an event trigger mechanism is set according to a given first threshold condition, and the actuator is ensured not to generate sudden change within a certain threshold.
In aIn a possible embodiment, the first threshold is set to
Figure 268618DEST_PATH_IMAGE102
Wherein the content of the first and second substances,
Figure 998677DEST_PATH_IMAGE103
is a control instruction corresponding to the previous control mode,
Figure 401976DEST_PATH_IMAGE104
to be adjustable in experiments to adapt to the positive parameters of the corresponding control system. The invention is not right
Figure 582291DEST_PATH_IMAGE105
Are subject to special restrictions.
Figure 805462DEST_PATH_IMAGE106
The expression represents that an actual control instruction corresponding to the current control modality is obtained after an actual control instruction corresponding to the previous control modality and an ideal control instruction corresponding to the current control modality are weighted, and the actual control instruction is a modified control instruction.
In a possible implementation manner, an event trigger mechanism is arranged in the controller, and when the event trigger mechanism in the controller monitors that an ideal control instruction corresponding to a current control mode and an actual control instruction before switching of the control mode are too large in difference, an instruction correction mechanism is started, that is, the ideal control instruction is corrected to obtain an actual control instruction which is actually input to the controlled system, so that the fact that an actuator does not mutate within a certain threshold value is ensured, that is, transient response of the controlled system when switching of different control modes is suppressed.
Fig. 4 shows a schematic diagram of a robust active disturbance rejection controller controlling a controlled system according to an embodiment of the present invention. In one possible implementation, a multi-modal controlled system model is established according to the control targets of the unmanned aerial vehicle system. For example, the unmanned aerial vehicle system comprises control targets such as vertical ground ascending, horizontal uniform flight, horizontal acceleration flight, horizontal deceleration flight, vertical ground descending and the like, and a multi-mode control model of the unmanned aerial vehicle system is established according to the control targets. And determining a plurality of control modes of the controlled system according to the unmanned aerial vehicle system model and the control target of the unmanned aerial vehicle system, such as a horizontal uniform speed control mode, an accelerating ascending control mode, a decelerating descending control mode and other control modes of the unmanned aerial vehicle system.
As shown in fig. 4, the controlled system includes a sensor and an actuator, and the sensor is used for sensing state information of the controlled system. For example, when the controlled system is an unmanned aerial vehicle system, the sensor may sense information such as height, speed, acceleration, angular velocity, and the like of the unmanned aerial vehicle system; the actuator may be an electric motor for driving the movement of the drone. The unmanned aerial vehicle system comprises a robust active disturbance rejection controller and a controlled system. The robust active-disturbance-rejection controller in fig. 4 may obtain state information of the controlled system sensed by a sensor in the controlled system, and determine a control mode in which the controlled system is currently located according to the state information, for example, the robust active-disturbance-rejection controller determines that the unmanned aerial vehicle system is in a control mode that is vertical to the ground and accelerates and rises, and determines an ideal control instruction corresponding to the control mode that is currently located and accelerates and rises; and determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction.
In a possible implementation manner, the robust active disturbance rejection controller in fig. 4 may modify the ideal control command according to the ideal control command and an actual control command corresponding to a previous control modality, so as to obtain a modified actual control command. For example, when an event trigger mechanism in the robust active disturbance rejection controller detects that an ideal control instruction corresponding to a current control mode (an accelerated ascent control mode) and an actual control instruction corresponding to a control mode before switching of the control mode (for example, uniform horizontal flight) are too large in difference (namely, greater than a certain threshold), an instruction correction mechanism is started, that is, the ideal control instruction is subjected to finger-type correction to obtain an actual control instruction which is actually input to a controlled system, so that it is ensured that an execution mechanism does not generate sudden change within a certain threshold, that is, transient response of the controlled system when switching of different control modes is suppressed.
The invention also provides a multi-modal robust active disturbance rejection motion control system, which is used for executing the control method and comprises the following steps: the control mode judging module is used for judging the control mode of the controlled system according to the information of the controlled system; wherein the controlled system information comprises state information of a controlled system; the ideal control instruction determining module is used for determining an ideal control instruction corresponding to the current control mode of the controlled system according to the current control mode of the controlled system; and the instruction correction module is used for determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction.
In one possible embodiment, the multi-modal robust auto-disturbance-rejection motion control system further includes: the controlled system model establishing module is used for establishing a multi-modal controlled system model according to a control target of the controlled system; and determining the control mode of the controlled system according to the controlled system model and the control target of the controlled system.
In one possible embodiment, the multi-modal robust auto-disturbance-rejection motion control system further includes: the controller model establishing module is used for establishing a controller model and a disturbance observer model; the control modes correspond to different control models and disturbance observer models; wherein, the disturbance observer model is used for estimating the disturbance parameters of the controlled system; and the controller model is used for determining an ideal control instruction corresponding to the current control mode of the controlled system according to the controlled system model and the disturbance parameters. In a possible implementation manner, the instruction modification module is further configured to modify the ideal control instruction according to the ideal control instruction and an actual control instruction corresponding to a previous control modality, so as to obtain a modified actual control instruction.
According to the multi-mode robust active disturbance rejection motion control method, the control mode of the controlled system can be judged according to the information of the controlled system, and an ideal control instruction corresponding to the control mode of the controlled system is determined according to the control mode of the controlled system; and determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction. The control method can realize the control of the multi-mode system, inhibit the transient response of the controlled system when the control rules of different modes are converted, improve the control precision and the stability of the controlled system, and enable the multi-mode controlled system to have stronger robustness.
The above description is only for the specific embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.

Claims (10)

1. A multi-modal robust active disturbance rejection motion control method is characterized by comprising the following steps which are sequentially executed:
judging the current control mode of the controlled system according to the information of the controlled system; wherein the controlled system information comprises state information of a controlled system;
determining an ideal control instruction corresponding to the control modality of the controlled system according to the control modality of the controlled system;
and determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction.
2. The method according to claim 1, wherein the step of determining the current control mode of the controlled system further comprises:
establishing a multi-modal controlled system model according to the control target of the controlled system;
and determining the control mode of the controlled system according to the controlled system model and the control target of the controlled system.
3. The method according to claim 2, wherein the step of determining the current control mode of the controlled system further comprises:
establishing a controller model and a disturbance observer model; the control modes correspond to different control models and disturbance observer models;
wherein, the disturbance observer model is used for estimating the disturbance parameters of the controlled system;
and the controller model is used for determining an ideal control instruction corresponding to the current control mode of the controlled system according to the controlled system model and the disturbance parameters.
4. The method according to claim 2, wherein building a multi-modal controlled system model according to the control targets of the controlled system comprises:
establishing a controlled system model as follows:
Figure 157162DEST_PATH_IMAGE001
wherein the content of the first and second substances,
Figure 526832DEST_PATH_IMAGE002
representing the controlled system model includes
Figure 572149DEST_PATH_IMAGE003
A dynamic equation;
Figure 170620DEST_PATH_IMAGE004
representing the controlled system model includes
Figure 250572DEST_PATH_IMAGE005
A number of different modalities;
Figure 276296DEST_PATH_IMAGE006
indicating status information
Figure 808909DEST_PATH_IMAGE007
The first derivative of (a);
Figure 7809DEST_PATH_IMAGE008
a state information vector composed of state information representing a controlled system;
Figure 879950DEST_PATH_IMAGE009
representing the system state vector obtained by using a radial basis function neural network algorithm RBFNN according to the state information vector
Figure 138893DEST_PATH_IMAGE010
A continuous function of (a);
Figure 109867DEST_PATH_IMAGE011
indicating status information
Figure 846879DEST_PATH_IMAGE012
Corresponding disturbance parameters;
Figure 573526DEST_PATH_IMAGE013
is shown as
Figure 268950DEST_PATH_IMAGE014
Control input in each mode, and actual instructions of the control method;
Figure 713838DEST_PATH_IMAGE015
and
Figure 254540DEST_PATH_IMAGE016
and representing the state output of the controlled system.
5. The method of claim 3, wherein the establishing a controller model and a disturbance observer model comprises:
aiming at the controlled system model, designing
Figure 101274DEST_PATH_IMAGE017
A robust auto-disturbance-rejection motion controller corresponding to each mode;
for the
Figure 702019DEST_PATH_IMAGE018
When the temperature of the water is higher than the set temperature,
the following disturbance observer model is established:
Figure 883471DEST_PATH_IMAGE019
the following controller models were established:
Figure 227865DEST_PATH_IMAGE020
wherein the content of the first and second substances,
Figure 929104DEST_PATH_IMAGE021
representing the control command corresponding to the first dynamic equation in the controlled system model,
Figure 966330DEST_PATH_IMAGE022
is a reference signal and represents a control target of a controlled system, and a tracking error is represented by
Figure 120231DEST_PATH_IMAGE023
Is that the disturbance observer aims at the state information
Figure 268316DEST_PATH_IMAGE024
The estimated parameters of the disturbance are used,
Figure 824062DEST_PATH_IMAGE025
is an observation error, suppose
Figure 32189DEST_PATH_IMAGE026
Is an estimate of the upper bound of the observation error,
Figure 424119DEST_PATH_IMAGE027
is the first derivative of (a) is,
Figure 110315DEST_PATH_IMAGE028
is a hyperbolic tangent function; parameter(s)
Figure 786147DEST_PATH_IMAGE029
Figure 165176DEST_PATH_IMAGE030
Are all adjustable parameters in the design process of a disturbance observer and a controller model,
Figure 293669DEST_PATH_IMAGE031
there is no practical physical significance for the intermediate quantities in the disturbance observer model design process.
6. The method of claim 5, wherein the establishing a controller model and a disturbance observer model comprises:
for the
Figure 783556DEST_PATH_IMAGE032
Then, the following disturbance observer model is established:
Figure 48315DEST_PATH_IMAGE033
the following controller models were established:
Figure 598245DEST_PATH_IMAGE035
wherein the content of the first and second substances,
Figure 463302DEST_PATH_IMAGE036
representing the model of the controlled system
Figure 756880DEST_PATH_IMAGE037
The tracking error is expressed as
Figure 141725DEST_PATH_IMAGE038
That the disturbance observer is directed to the state information
Figure 331398DEST_PATH_IMAGE039
The estimated parameters of the disturbance are used,
Figure 496800DEST_PATH_IMAGE040
is an observation error, suppose
Figure 266173DEST_PATH_IMAGE026
Is an estimate of the upper bound of the observation error,
Figure 833420DEST_PATH_IMAGE027
the first derivative of (a) is,
Figure 397257DEST_PATH_IMAGE041
is a hyperbolic tangent function
Figure 49955DEST_PATH_IMAGE042
Are all adjustable parameters in the design process of a disturbance observer and a controller model,
Figure 370822DEST_PATH_IMAGE043
there is no practical physical significance for the intermediate quantities in the disturbance observer model design process.
7. The method of claim 6, wherein the establishing a controller model and a disturbance observer model comprises:
for the
Figure 526997DEST_PATH_IMAGE044
Then, the following disturbance observer model is established:
Figure 527314DEST_PATH_IMAGE045
the following controller models were established:
Figure 401729DEST_PATH_IMAGE046
wherein the content of the first and second substances,
Figure 778483DEST_PATH_IMAGE047
representing the model of the controlled system
Figure 54744DEST_PATH_IMAGE048
The tracking error of the ideal control command corresponding to the dynamic equation is expressed as
Figure 225962DEST_PATH_IMAGE049
Is that the disturbance observer aims at the state information
Figure 587673DEST_PATH_IMAGE050
The estimated parameters of the disturbance are used,
Figure 751807DEST_PATH_IMAGE051
is an observation error, suppose
Figure 882574DEST_PATH_IMAGE052
For switching errors, representing the difference between the ideal control command and the actual control command,
Figure 224694DEST_PATH_IMAGE053
in order to actually control the command, it is,
Figure 808122DEST_PATH_IMAGE054
estimated value of, parameter of
Figure 526680DEST_PATH_IMAGE055
Figure 777532DEST_PATH_IMAGE056
Are all adjustable parameters in the design process of a disturbance observer and a controller model,
Figure 290553DEST_PATH_IMAGE057
there is no practical physical significance for the intermediate quantities in the disturbance observer model design process.
8. The method of claim 7, wherein determining the actual control commands of the controlled system according to the information of the controlled system and the ideal control commands comprises:
when the absolute value of the switching error is less than or equal to a first threshold value, taking the ideal control command as an actual control command;
and when the absolute value of the switching error is larger than a first threshold value, correcting the ideal control command to obtain an actual control command.
9. The method according to claim 8, wherein the ideal control command is used as the actual control command when the absolute value of the switching error is equal to or less than a first threshold, and the ideal control command is used when the absolute value of the switching error is greater than the first threshold
Figure 361277DEST_PATH_IMAGE058
And correcting to obtain an actual control command, wherein the method comprises the following steps:
Figure 680263DEST_PATH_IMAGE059
wherein
Figure 474038DEST_PATH_IMAGE060
Is an adjustable positive parameter.
10. A multi-modal robust auto-disturbance-rejection motion control system, wherein the system is configured to perform the method of any of claims 1-9, the system comprising: the control mode judging module is used for judging the control mode of the controlled system according to the information of the controlled system; wherein the controlled system information comprises state information of a controlled system; the ideal control instruction determining module is used for determining an ideal control instruction corresponding to the current control mode of the controlled system according to the current control mode of the controlled system; and the instruction correction module is used for determining an actual control instruction of the controlled system according to the controlled system information and the ideal control instruction.
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