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Adaptive sliding-mode control method of 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: 2018-04-10
DALIAN NATIONALITIES UNIVERSITY
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  • Summary
  • Abstract
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  • Claims
  • Application Information

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Problems solved by technology

[0003] 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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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

[0085] Embodiment 2, as the system executed by the method in Embodiment 1, this embodiment includes the following scheme:

[0086] 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:

[0087] Approximate an ideal state feedback controller using the LS-SVM structure for the nonlinear system to construct a new feedback controller;

[0088] Approximation error and / or uncertain external disturbance compensation for LS-SVM regression by applying sliding mode control to it;

[0089] Determines the weight parameter vector at an adaptive rate.

[0090] 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

[0091] The nonlinear system

[0092]

[0093] in: is the unknown nonlinear function, b is the unknown control gain, d is the bounded dis...

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Abstract

The invention provides an adaptive sliding-mode control method of a nonlinear system, and belongs to the artificial intelligence and control field. The method is used for solving the problem of asymptotic stability of a closed-loop control system. The method is characterized by, for the nonlinear system, adopting an LS-SVM structure to approximate an ideal state feedback controller so as to construct a new feedback controller; and carrying out sliding-mode control to compensate for LS-SVM regression approximation error and / or uncertain external disturbance, and determining weight parameter vectors based on adaptive laws. The beneficial effects are that the feedback linearization controller is designed by fully utilizing the approximation capability of a nonlinear function of LS-SVM regression, and the sliding-mode control is introduced to compensate for the LS-SVM regression approximation error and the influence of uncertain external disturbance on system output, and thus adjustment ofthe LS-SVM weight parameters can be realized.

Description

technical field [0001] 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 [0002] 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 control on the system model. Literature [3] studied the adaptive fuzzy sliding mode control of nonlinear system based on high-gain observer, and literature [4] studied the adaptive sliding mode control of n...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B13/04
CPCG05B13/024G05B13/042
Inventor 谢春利赵丹丹
Owner DALIAN NATIONALITIES UNIVERSITY
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