Contraction theory based adaptive synchronization of chaotic systems

被引：29

作者：

Sharma, B. B. ^{[1
]}

Kar, I. N. ^{[1
]}

机构：

[1] Indian Inst Technol Delhi, Dept Elect Engn, New Delhi 110016, India

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 05期

关键词：

FEEDBACK;

D O I：

10.1016/j.chaos.2008.09.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Contraction theory based stability analysis exploits the incremental behavior of trajectories of a system with respect to each other. Application of contraction theory provides an alternative way for stability analysis of nonlinear systems. This paper considers the design of a control law for synchronization of certain class of chaotic systems based on backstepping technique. The controller is selected so as to make the error dynamics between the two systems contracting. Synchronization problem with and without uncertainty in system parameters is discussed and necessary stability proofs are worked out using contraction theory. Suitable adaptation laws for unknown parameters are proposed based on the contraction principle. The numerical simulations verify the synchronization of the chaotic systems. Also parameter estimates converge to their true values with the proposed adaptation laws. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2437 / 2447

页数：11

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