Pragmatical adaptive chaos control from a new double van der Pol system to a new double Duffing system

被引：10

作者：

Ge, Zheng-Ming ^{[1
]}

Li, Shih-Chung ^{[1
]}

Li, Shih-Yu ^{[1
]}

Chang, Ching-Ming ^{[1
]}

机构：

[1] Natl Chiao Tung Univ, Dept Mech Engn, Hsinchu 300, Taiwan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 203卷 / 02期

关键词：

pragmatical adaptive control; double van der Pol system; double Duffing system; uncoupled chaotic system;

D O I：

10.1016/j.amc.2008.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new pragmatical adaptive control method for different chaotic systems is proposed. Traditional chaos control is limited to decrease chaos of one chaotic system. This method enlarges the effective scope of chaos control. We can control a chaotic system, e.g. a new chaotic double van der Pol system, to a given chaotic or regular system, e.g. a new chaotic double Duffing system or to a damped simple harmonic system. By a pragmatical theorem of asymptotical stability based on an assumption of equal probability of initial point, an adaptive control law is derived such that it can be proved strictly that the common zero solution of error dynamics and of parameter dynamics is asymptotically stable. Numerical simulations are given to show the effectiveness of the proposed scheme. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：513 / 522

页数：10

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