Adaptive control design for a class of uncertain time-varying anti-synchronization chaotic systems

Author

Lei, Lin ; Xiang, Wei ; Zhu, Fang

Author_Institution

Sch. of Inf. Eng., Southwest Univ. of Sci. & Technol., Mianyang, China

fYear

2010

Firstpage

4942

Lastpage

4947

Abstract

In this paper, a new adaptive feedback control scheme is proposed for a class of anti-synchronization uncertain time-varying chaotic systems. This adaptive anti-synchronization controller is designed based on Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is given. The control scheme is successfully applied to two examples: Josephson junction system and pendulum system; Josephson junction system and Rössler system. Numerical results are given to illustrate the effectiveness of the proposed method in this paper.

Keywords

Lyapunov methods; adaptive control; control system synthesis; feedback; stability; time-varying systems; uncertain systems; Josephson junction system; Lyapunov stability theory; Rossler system; adaptive anti-synchronization controller; adaptive control design; adaptive feedback control; adaptive law; pendulum system; uncertain time-varying anti-synchronization chaotic system; Adaptive control; Chaotic communication; Josephson junctions; Numerical simulation; Synchronization; Time varying systems; Anti-synchronization; adaptive control; chaotic system; time-varying;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2010 8th World Congress on

Conference_Location

Jinan

Print_ISBN

978-1-4244-6712-9

Type

conf

DOI

10.1109/WCICA.2010.5554796

Filename

5554796