General impulsive control of chaotic systems based on a TS fuzzy model

被引：44

作者：

Hu, Cheng ^{[1
]}

Jiang, Haijun ^{[1
]}

Teng, Zhidong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 2011年 / 174卷 / 01期

关键词：

Chaotic systems; TS fuzzy model; Impulsive control; Impulsive synchronization; Time-delayed control; DELAYED FEEDBACK-CONTROL; TIME-DELAY; DIFFERENTIAL EQUATIONS; ASYMPTOTIC STABILITY; SYNCHRONIZATION; STABILIZATION; LIMITATION;

D O I：

10.1016/j.fss.2011.03.014

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a time-delayed impulsive controller is constructed and the uniformly asymptotic stability of chaotic systems based on a Takagi-Sugeno (TS) fuzzy model is investigated and some new and useful criteria are derived. In addition, the uniformly asymptotic synchronization of chaotic systems based on the TS fuzzy model is discussed using similar techniques. Finally, some numerical simulations are presented to illustrate the effectiveness and feasibility of the derived results. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：66 / 82

页数：17

共 34 条

[1] Impulsive control and its application to Lu's chaotic system [J].

Chen, ML ;

Sun, JT ;

Wu, QD .

CHAOS SOLITONS & FRACTALS, 2004, 21 (05) :1135-1142

[2] A simple time-delayed method to control chaotic systems [J].

Chen, MY ;

Zhou, DH ;

Shang, Y .

CHAOS SOLITONS & FRACTALS, 2004, 22 (05) :1117-1125

[3] Another limitation of DFC when stabilizing unstable fixed points of continuous chaotic systems [J].

Chen, MY ;

Han, ZZ ;

Shang, Y .

PHYSICS LETTERS A, 2003, 311 (06) :501-503

[4] Impulsive control and synchronization of unified chaotic system [J].

Chen, SH ;

Yang, Q ;

Wang, CP .

CHAOS SOLITONS & FRACTALS, 2004, 20 (04) :751-758

[5] New Razumikhin-type theorems on the stability for impulsive functional differential systems [J].

Chen, Zhang ;

Fu, Xilin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (09) :2040-2052

[6] A stabilization method of chaotic systems based on full delayed feedback controller design [J].

Guan, XP ;

Feng, G ;

Chen, CL .

PHYSICS LETTERS A, 2006, 348 (3-6) :210-221

[7] Fuzzy Impulsive Control and Synchronization of General Chaotic System [J].

Hu, Cheng ;

Jiang, Haijun ;

Teng, Zhidong .

ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (02) :463-485

[8]

Huang L., 1984, LINEAR ALGEBRA SYSTE

[9]

LI Z, 2006, CONTROL APPL

[10] T-S fuzzy model-based impulsive control of chaotic systems with exponential decay rate [J].

Liu, Xingwen ;

Zhong, Shouming .

PHYSICS LETTERS A, 2007, 370 (3-4) :260-264

← 1 2 3 4 →