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Adaptive sliding-mode control method and simulation method for nonlinear system

A nonlinear system, adaptive sliding mode technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., to achieve the effect of solving asymptotic stability

Inactive Publication Date: 2018-05-18
DALIAN NATIONALITIES UNIVERSITY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] In order to solve the problem that the closed-loop control system is asymptotically stable, the present invention proposes the following scheme:
This method makes full use of the nonlinear function approximation ability of LS-SVM regression to design a feedback linearization controller, introduces sliding mode control to compensate the approximation error of LS-SVM regression and the influence of uncertain external disturbance on the system output, and performs LS-SVM weight parameter adjustment, and finally verified the design scheme through a simulation example, indicating that the present invention can solve the asymptotically stable problem of the closed-loop control system

Method used

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  • Adaptive sliding-mode control method and simulation method for nonlinear system
  • Adaptive sliding-mode control method and simulation method for nonlinear system
  • Adaptive sliding-mode control method and simulation method for nonlinear system

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Embodiment 1

[0014] Embodiment 1: This embodiment proposes an adaptive control slipping modeling method or system based on Lyapunov functions for a class of nonlinear systems containing uncertainties and unknown bounded external disturbances. The nonlinear function approximation ability of LS-SVM regression is used to design a feedback linearization controller, and the sliding mode control is introduced to compensate the approximation error of LS-SVM regression and the influence of uncertain external disturbance on the system output, and the Lyapunov function is used to calculate the weight parameters of LS-SVM Finally, a simulation example is used to verify the design scheme.

[0015] 1 Problem description

[0016] Consider nonlinear uncertain systems

[0017]

[0018] in is an unknown nonlinear function, b is an unknown control gain, d is a bounded disturbance, u∈R and y∈R are the input and output of the system, respectively, and n is the order of the system state. Assume is the...

Embodiment 2

[0086] Embodiment 2, as the system executed by the method in Embodiment 1, this embodiment includes the following scheme:

[0087] An adaptive sliding mode control system for a nonlinear system stores a plurality of instructions, and the instructions are suitable for being loaded and executed by a processor:

[0088] Approximate an ideal state feedback controller using the LS-SVM structure for the nonlinear system to construct a new feedback controller;

[0089] Approximation error and / or uncertain external disturbance compensation for LS-SVM regression by applying sliding mode control to it;

[0090] Determines the weight parameter vector at an adaptive rate.

[0091] The nonlinear system uses the LS-SVM structure to approximate the ideal state feedback controller to construct a new feedback controller based on the following method

[0092] The nonlinear system

[0093]

[0094] in: is the unknown nonlinear function, b is the unknown control gain, d is the bounded dis...

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Abstract

The divisional application relates an adaptive sliding-mode control method and simulation method for a nonlinear system, belongs to the field of artificial intelligence and control, and solves the asymptotic stability of a closed-loop control system. The adaptive sliding-mode control method is characterized by applying an LS-SVM structure to the nonlinear system to approximate an ideal state feedback controller to construct a new feedback controller; applying sliding-mode control to the nonlinear system to compensate the approximate errors and / or uncertain external disturbance of the LS-SVM regression, and determining a weight parameter vector according to an adaptive rate. The method designs a feedback linearization controller by fully utilizing the nonlinear function approximation capability of the LS-SVM regression, introduces the sliding-mode control to compensate the influences of the approximate errors and the uncertain external disturbance of the LS-SVM regression on system output so as to adjust the LS-SVM weight parameter.

Description

[0001] This application is a divisional application with application number 2017111048243, application date 2017-11-10, and invention name "Adaptive sliding mode control method for nonlinear systems" technical field [0002] The invention belongs to the field of artificial intelligence and control, and relates to an adaptive sliding mode control method of a nonlinear system. Background technique [0003] Sliding mode variable structure control of nonlinear uncertain systems has always been a hot spot in the control field, and many scholars have achieved research results in this field. Since the sliding mode control of the nonlinear system requires a rough mathematical model of the known system, the dependence of the sliding mode control on the system model is increased. With the development of artificial intelligence theory, fuzzy logic and neural network are introduced into the design of sliding mode control, which can effectively reduce the dependence of sliding mode contr...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/02
CPCG05B13/024G05B13/042
Inventor 谢春利赵丹丹
Owner DALIAN NATIONALITIES UNIVERSITY
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