Synchronization of chaotic systems via learning control

Author

Xu, Jian-Xin ; Yan, Rui

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore

Volume

1

fYear

2004

fDate

6-9 Dec. 2004

Firstpage

631

Abstract

In this paper, a learning control approach is applied to the synchronization of two uncertain chaotic systems, which contain both, time varying and time invariant parametric uncertainties. The new learning approach also deals with unknown time varying parameters having distinct periods in the master and slave systems. Using the Lyapunov-Krasovskii functional and incorporating periodic parametric learning mechanism, the global stability and asymptotic synchronization between the master and the slave systems are obtained. Simulations on representative classes of chaotic systems show the effectiveness of the method.

Keywords

Lyapunov methods; adaptive control; learning systems; nonlinear control systems; stability; synchronisation; time-varying systems; uncertain systems; Lyapunov-Krasovskii functional; chaotic system; global stability; learning control; synchronization; time invariant parametric uncertainties; time varying parameter; Adaptive control; Asymptotic stability; Chaos; Chaotic communication; Control systems; Learning systems; Master-slave; Robustness; Time varying systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation, Robotics and Vision Conference, 2004. ICARCV 2004 8th

Print_ISBN

0-7803-8653-1

Type

conf

DOI

10.1109/ICARCV.2004.1468900

Filename

1468900