Adaptive generalized synchronization of two nonidentical hyperchaotic systems with unknown parameters

Author

Zhao, Yan ; Zhang, Tieyan ; Miao, Lihua ; Sun, Qiuye

Author_Institution

Dept. of Autom. Control Eng., Shenyang Inst. of Eng., Shenyang, China

Volume

2

fYear

2010

fDate

27-29 March 2010

Firstpage

155

Lastpage

159

Abstract

This paper considers the generalized synchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables of the drive system and the state variables of the response system, the hyperchaotic synchronization problem is transformed into the stabilization control problem of the origin of the synchronization error system. Based on the Lyapunov stability, a new adaptive synchronization controller is designed and the asymptotic stability of the origin of the synchronization error system is proved. simulation results illustrate the correctness of the proposed generalized synchronization method.

Keywords

Lyapunov methods; adaptive control; asymptotic stability; chaos; nonlinear control systems; synchronisation; Lyapunov stability; adaptive generalized synchronization; adaptive synchronization controller; asymptotic stability; drive system; hyperchaotic synchronization problem; nonidentical hyperchaotic system; response system state variable; stabilization control problem; synchronization error signal; unknown parameter; Adaptive control; Asymptotic stability; Biomedical engineering; Chaotic communication; Control systems; Educational institutions; Error correction; Lyapunov method; Programmable control; Sun; Generalized Hénon-Heiles hyperchaotic system; Lü hyperchaotic system; adaptive generalized synchronization; unknown parameters;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Computer Control (ICACC), 2010 2nd International Conference on

Conference_Location

Shenyang

Print_ISBN

978-1-4244-5845-5

Type

conf

DOI

10.1109/ICACC.2010.5487200

Filename

5487200