Coexistence of complete-synchronization and anti-synchronization for uncertain chaotic systems via adaptive control

Author

Yuye, Wang ; Hongzhen, Xu

Author_Institution

Inf. & Commun. Eng. Coll., Harbin Eng. Univ., Harbin

fYear

2009

fDate

25-27 May 2009

Firstpage

703

Lastpage

708

Abstract

This letter studies the coexistence of complete-synchronization and anti-synchronization (hybrid synchronization) for a general class of uncertain chaotic system. A simple adaptive feedback scheme is proposed to achieve the hybrid synchronization, and identify the unknown parameters that chaotic system function is an odd function when it is anti-synchronization. The stability of the error systems are analyzed based on Lyapunov stability theory. 4D non- autonomous Qi system and 3D autonomous Rossler system are successfully applied to achieve the hybrid synchronization and parameters identification. Numerical results are presented to justify the effectiveness and feasibility of the method.

Keywords

Lyapunov methods; adaptive control; chaos; error statistics; feedback; stability; synchronisation; uncertain systems; 3D autonomous Rossler system; 4D nonautonomous Qi system; Lyapunov stability; adaptive control; adaptive feedback; antisynchronization; complete-synchronization; error systems; uncertain chaotic systems; Adaptive control; Chaos; Chaotic communication; Educational institutions; Equations; Feedback control; Interactive systems; Mutual coupling; Parameter estimation; Programmable control; Qi system; Rössler system; anti-synchronization; complete-synchronization; parameters identification;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics and Applications, 2009. ICIEA 2009. 4th IEEE Conference on

Conference_Location

Xi´an

Print_ISBN

978-1-4244-2799-4

Electronic_ISBN

978-1-4244-2800-7

Type

conf

DOI

10.1109/ICIEA.2009.5138296

Filename

5138296