An LMI Approach to Robust Exponential Stabilizing Controller Design for a Class of Structured Uncertain Unified Chaotic Systems

Author

Kuo, Yi-Pin ; Yau, Her-Terng ; Yang, Shyi-Kae ; Hwang, Kao-Shing

Author_Institution

Dept. of Electron. Eng., Far-East Univ., Tainan, Taiwan

fYear

2009

fDate

6-8 Nov. 2009

Firstpage

117

Lastpage

121

Abstract

In this paper, the chaos suppression problem for a class of unified chaotic systems with structured uncertainties is considered. Applying Schur-complement and some matrix manipulation techniques, the controlled uncertain unified chaotic system is then transformed into the linear matrix inequality (LMI) form. Finally, a robust controller is designed to enforce the pre-specified exponential decay dynamics of the uncertain unified chaotic system. Numerical results validate the effectiveness of the proposed robust control scheme.

Keywords

asymptotic stability; control system synthesis; linear matrix inequalities; robust control; uncertain systems; LMI approach; Schur-complement; chaos suppression problem; exponential decay dynamics; linear matrix inequality form; matrix manipulation techniques; robust exponential stabilizing controller design; structured uncertain unified chaotic systems; Chaos; Control systems; Linear matrix inequalities; Lyapunov method; Optimal control; Robust control; Robust stability; Sliding mode control; Uncertain systems; Uncertainty; LMI; exponential stable; robust controller; structured uncertain; unified chaotic system;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications, 2009. IWCFTA '09. International Workshop on

Conference_Location

Shenyang

Print_ISBN

978-0-7695-3853-2

Type

conf

DOI

10.1109/IWCFTA.2009.32

Filename

5361900