Optimal control for a class of chaos synchronization with input constraint

Author

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

Author_Institution

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

fYear

2006

fDate

14-16 June 2006

Abstract

Based on Lyapunov stabilization and robust control theory, an optimal guaranteed cost control law for chaos synchronization is proposed in this paper. A polytopic model-parameter uncertain presentation for robust control is applied for the piece-wise linear function which exists in a class of chaotic systems. The optimal control law with input constraint is processed by linear matrix inequality (LMI) solver. The effectiveness of the control law is verified and demonstrated by the chaotic Chua´s circuit

Keywords

Chua´s circuit; Lyapunov methods; chaos; cost optimal control; linear matrix inequalities; piecewise linear techniques; robust control; synchronisation; Lyapunov stabilization; chaos synchronization; chaotic Chua circuit; chaotic systems; input constraint; linear matrix inequality; optimal guaranteed cost control law; piecewise linear function; polytopic model-parameter uncertain presentation; robust control; Chaos; Circuits; Control systems; Couplings; Master-slave; Mathematical model; Optimal control; Piecewise linear techniques; Robust control; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2006

Conference_Location

Minneapolis, MN

Print_ISBN

1-4244-0209-3

Electronic_ISBN

1-4244-0209-3

Type

conf

DOI

10.1109/ACC.2006.1657562

Filename

1657562