Robust Control for a Class of Nonlinear Uncertain Chaotic Systems with Time-Delay by LMI Approach

Author

Zhu, Wenli ; Cui, Hongwei ; Bai, Shumin ; Hu, Jin

Author_Institution

Sch. of Econ. Math., South Western Univ. of Finance & Econ., Chengdu, China

Volume

2

fYear

2009

fDate

March 31 2009-April 2 2009

Firstpage

616

Lastpage

620

Abstract

This paper studies the robust control for a class of nonlinear uncertain chaotic systems with time-delay by using Lyapunov stability theory and the linear matrix inequality (LMI) approach. A sufficient condition for the existence of the time-delay feedback controller is established, and a sufficient condition for the existence of the state observer and the observer-based robust controller is also derived.

Keywords

Lyapunov methods; delays; feedback; linear matrix inequalities; nonlinear control systems; robust control; uncertain systems; LMI approach; Lyapunov stability theory; linear matrix inequality; nonlinear uncertain chaotic systems; robust control; state observer; sufficient condition; time-delay feedback controller; Chaos; Control systems; Laser feedback; Nonlinear control systems; Observers; Optical control; Output feedback; Robust control; Stability; Sufficient conditions; LMI; Robust control; uncertain chaotic systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science and Information Engineering, 2009 WRI World Congress on

Conference_Location

Los Angeles, CA

Print_ISBN

978-0-7695-3507-4

Type

conf

DOI

10.1109/CSIE.2009.66

Filename

5171412