Sliding mode control for chaotic systems based on LMI

被引：75

作者：

Wang, Hua ^{[1
]}

Han, Zheng-zhi ^{[1
]}

Xie, Qi-yue ^{[1
]}

Zhang, Wei ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Elect Informat & Elect Engn, Shanghai 200240, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Chaos control; Sliding mode; Dynamic compensator; Linear matrix inequality (LMI); SYNCHRONIZATION;

D O I：

10.1016/j.cnsns.2007.12.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the chaos control problem for a general class of chaotic systems. A feedback controller is established to guarantee asymptotical stability of the chaotic systems based on the sliding mode control theory. A new reaching law is introduced to solve the chattering problem that is produced by traditional sliding mode control. A dynamic compensator is designed to improve the performance of the closed-loop system in sliding mode, and its parameter is obtained from a linear matrix inequality (LMI). Simulation results for the well known Chua's circuit and Lorenz chaotic system are provided to illustrate the effectiveness of the proposed scheme. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：1410 / 1417

页数：8

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