Control and synchronization for uncertain chaotic systems with LMI approach

Author

Deng, Lili ; Xu, Junqun

Author_Institution

Inst. of Syst. Eng., Tianjin Univ., Tianjin, China

fYear

2010

fDate

26-28 May 2010

Firstpage

1695

Lastpage

1700

Abstract

This paper presents new sufficient conditions for control and synchronization of chaos systems with parametric uncertainties by applying the linear-state-feedback approach. Control laws are derived to achieve chaos control and chaos synchronization on the basis of Lyapunov stability theory. In particular, we provide the synchronous upper-bound with the only bounded perturbations. Numerical stimulations are given to illustrate the proposed results.

Keywords

Lyapunov methods; chaos; linear matrix inequalities; nonlinear control systems; stability; synchronisation; uncertain systems; LMI approach; Lyapunov stability theory; chaos control; chaos synchronization; linear matrix inequalities; linear-state-feedback approach; parametric uncertainty; uncertain chaotic systems; Chaos; Control systems; Feedback control; Lyapunov method; Niobium; Sliding mode control; Sufficient conditions; Systems engineering and theory; Uncertain systems; Uncertainty; Chaos Control; Chaos Synchronization; Linear Matrix Inequalities; Uncertain System;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498396

Filename

5498396