Chaotic synchronization using backstepping method with application to the Chua´s circuit and Lorenz system

Author

Yang, Tao ; Li, Xiao Feng ; Shao, Hui He

Author_Institution

Dept. of Autom., Shanghai Jiao Tong Univ., China

Volume

3

fYear

2001

fDate

2001

Firstpage

2299

Abstract

In this paper, backstepping method is proposed for synchronizing chaotic systems. The tool consists in a recursive procedure that combines the choice of a Lyapunov function with the design of feedback control. It offers a systematic design procedure for the synchronization of a large class of continuous-time hyper-chaotic systems, which implies that much complicated high-order chaotic systems can be used to improve the security in chaos communications. In order to illustrate the general applicability of backstepping design, the tool is used to synchronize the dynamics of Chua´s circuits and Lorenz systems. Numerical simulations are presented to show the effectiveness of this approach

Keywords

Lorenz number; Lyapunov methods; feedback; synchronisation; Chua´s circuit; Lorenz system; Lyapunov function; backstepping method; chaotic synchronization; continuous-time hyper-chaotic systems; feedback control; numerical simulations; recursive procedure; systematic design procedure; Backstepping; Chaos; Chaotic communication; Circuits; Control systems; Equations; Feedback control; Lyapunov method; Nonlinear control systems; Nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946094

Filename

946094