Adaptive synchronization of T-S fuzzy chaotic systems with unknown parameters

被引：36
|
作者：
Kim, JH [1 ]
Park, CW [1 ]
Kim, E [1 ]
Park, M [1 ]
机构：
[1] Yonsei Univ, Dept Elect & Elect Engn, Seoul 120749, South Korea
来源：
CHAOS SOLITONS & FRACTALS | 2005年 / 24卷 / 05期
关键词：
D O I：
10.1016/j.chaos.2004.09.082
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper presents a fuzzy model-based adaptive approach for synchronization of chaotic systems which consist of the drive and response systems. Takagi-Sugeno (T-S) fuzzy model is employed to represent the chaotic drive and response systems. Since the parameters of the drive system are assumed unknown, we design the response system that estimates the parameters of the drive system by adaptive strategy. The adaptive law is derived to estimate the unknown parameters and its stability is guaranteed by Lyapunov stability theory. In addition, the controller in the response system contains two parts: one part that can stabilize the synchronization error dynamics and the other part that estimates the unknown parameters. Numerical examples, including Duffing oscillator and Lorenz attractor, are given to demonstrate the validity of the proposed adaptive synchronization approach. (c) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1353 / 1361
页数：9
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