Adaptive Control and Synchronization of a New Uncertain Hyperchaotic Lorenz System Based on Parameter Identification

Author

Shuhua, Wang ; Huaishan, Liu ; Kai, Cui

Author_Institution

Coll. of Geo-Marine Sci., Ocean Univ. of China, Qingdao, China

Volume

3

fYear

2009

fDate

15-17 May 2009

Firstpage

507

Lastpage

510

Abstract

In this paper, the problems of control and synchronization of a new hyperchaotic Lorenz system with uncertain parameters are studied. Based on the Lyapunov stability theory and the adaptive control theory, this new uncertain hyperchaotic Lorenz system is suppressed to its unstable equilibrium. Furthermore, synchronization between two identical uncertain hyperchaotic systems is achieved by proposing an adaptive control law and a parameter estimation update law. Numerical simulations are presented to demonstrate the analytical results.

Keywords

adaptive control; nonlinear control systems; numerical analysis; parameter estimation; synchronisation; uncertain systems; Lyapunov stability theory; adaptive control theory; numerical simulation; parameter estimation; parameter identification; synchronization; uncertain hyperchaotic lorenz system; Adaptive control; Adaptive systems; Chaotic communication; Communication system control; Control systems; Educational institutions; Information technology; Parameter estimation; Programmable control; Sliding mode control; adaptive control; adaptive synchronization; hyperchaotic Lorenz system; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Technology and Applications, 2009. IFITA '09. International Forum on

Conference_Location

Chengdu

Print_ISBN

978-0-7695-3600-2

Type

conf

DOI

10.1109/IFITA.2009.209

Filename

5232172