Global Chaos Synchronization of WINDMI and Coullet Chaotic Systems using Adaptive Backstepping Control Design

被引：18

作者：

Rasappan, Suresh ^{[1
]}

Vaidyanathan, Sundarapandian ^{[1
]}

机构：

[1] Vel Tech Univ, Dept Math, 42 Avadi Vel Tech Rd, Madras 600062, Tamil Nadu, India

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2014年 / 54卷 / 02期

关键词：

Chaos; Synchronization; Adaptive Backstepping Control; WINDMI System; Coullet System;

D O I：

10.5666/KMJ.2014.54.2.293

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, global chaos synchronization is investigated for WINDMI (J. C. Sprott, 2003) and Coullet (P. Coullet et al, 1979) chaotic systems using adaptive backstepping control design based on recursive feedback control. Our theorems on synchronization for WINDMI and Coullet chaotic systems are established using Lyapunov stability theory. The adaptive backstepping control links the choice of Lyapunov function with the design of a controller and guarantees global stability performance of strict-feedback chaotic systems. The adaptive backstepping control maintains the parameter vector at a predetermined desired value. The adaptive backstepping control method is effective and convenient to synchronize and estimate the parameters of the chaotic systems. Mainly, this technique gives the flexibility to construct a control law and estimate the parameter values. Numerical simulations are also given to illustrate and validate the synchronization results derived in this paper.

引用

页码：293 / 320

页数：28

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