Synchronization of a class of chaotic dynamic systems with controller gain variations

被引:14
作者
Park, JH [1 ]
机构
[1] Yeungnam Univ, Dept Elect Engn, Robust Control & Nonlinear Dynam Lab, Kyongsan 712749, South Korea
关键词
D O I
10.1016/j.chaos.2005.04.101
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the nonfragile control problem for synchronization of a class of chaotic dynamical systems with controller gain variations is studied. Using the Lyapunov method and LMI (linear matrix inequality) technique, a criterion for the existence of the nonfragile controller for synchronization is derived in terms of LMI. To show the effectiveness of the proposed method, the control problem is applied to Genesio chaotic system. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1279 / 1284
页数:6
相关论文
共 23 条
[1]   Synchronization of Rossler and Chen chaotic dynamical systems using active control [J].
Agiza, HN ;
Yassen, MT .
PHYSICS LETTERS A, 2001, 278 (04) :191-197
[2]  
[Anonymous], 1994, LINEAR MATRIX INEQUA
[3]   Sequential synchronization of two Lorenz systems using active control [J].
Bai, EW ;
Lonngren, KE .
CHAOS SOLITONS & FRACTALS, 2000, 11 (07) :1041-1044
[4]  
Chen G., 1998, CHAOS ORDER METHODOL
[5]   Controlling and synchronizing chaotic Genesio system via nonlinear feedback control [J].
Chen, MY ;
Han, ZZ .
CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :709-716
[6]  
Corrado J. R., 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), P915, DOI 10.1109/ACC.1999.783173
[7]  
Dorato P, 1998, P AMER CONTR CONF, P2829, DOI 10.1109/ACC.1998.688371
[8]  
Gahinet P., 1995, LMI Control Toolbox
[9]   HARMONIC-BALANCE METHODS FOR THE ANALYSIS OF CHAOTIC DYNAMICS IN NONLINEAR-SYSTEMS [J].
GENESIO, R ;
TESI, A .
AUTOMATICA, 1992, 28 (03) :531-548
[10]   Synchronization of chaotic systems via nonlinear control [J].
Huang, LL ;
Feng, RP ;
Wang, M .
PHYSICS LETTERS A, 2004, 320 (04) :271-275