Guaranteed Cost Control for Chaos Synchronization: LMI Approach

Author

Tong, Chang-Fei ; Zhang, Hui ; Sun, You-Xian

Author_Institution

Inst. of Modern Control Eng., Zhejiang Univ., Hangzhou

Volume

1

fYear

0

fDate

0-0 0

Firstpage

925

Lastpage

929

Abstract

Based on Lyapunov stabilization and robust control theory, a guaranteed cost control law for synchronization of unidirectionally-coupled chaos systems is proposed in this paper. A linear model parameter uncertain form translation is given to transact the nonlinear part of the chaos system. Then, robust control is applied to the system. The optimal guaranteed control with linear error feedback scheme is solved by linear matrix inequality (LMI). A method to limit the control gain is also given to avoid great value. Finally, the effectiveness of the control law is verified and demonstrated by Chua´s circuit and Lorenz system in numerical examples

Keywords

Lyapunov methods; chaos; cost optimal control; feedback; linear matrix inequalities; nonlinear control systems; robust control; LMI approach; Lyapunov stabilization; chaos synchronization; chaos system; control gain; guaranteed cost control; linear error feedback; linear matrix inequality; linear model parameter uncertain form translation; optimal guaranteed control; robust control theory; unidirectionally-coupled chaos systems; Chaos; Circuits; Control systems; Costs; Couplings; Error correction; Mathematical model; Optimal control; Robust control; Vectors; Chaos Synchronization; Guaranteed cost control; LMI;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation, 2006. WCICA 2006. The Sixth World Congress on

Conference_Location

Dalian

Print_ISBN

1-4244-0332-4

Type

conf

DOI

10.1109/WCICA.2006.1712479

Filename

1712479