Stability analysis and H∞ controller design of a class of switched discrete-time fuzzy systems

Author

Chen, Yong ; Zhang, Lixian ; Karimi, Hamid Reza ; Zhao, Xudong

Author_Institution

Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China

fYear

2011

fDate

12-15 Dec. 2011

Firstpage

6159

Lastpage

6164

Abstract

In this paper, the problems of stability analysis and H_∞ controller design of a class of switched nonlinear systems are investigated. In a classical way, the modeling of the systems is approached by switched fuzzy systems, and both fast switching and slow switching are considered there. In particular, for slow switching scheme, a new mode-dependent average dwell time switching is proposed for the underlying switched fuzzy systems. Based on a fuzzy-basis-dependent and mode-dependent Lyapunov function, the H_∞ state-feedback controller is derived. A numerical example is given to show the validity and potential of the theoretical results.

Keywords

H^∞ control; Lyapunov methods; control system synthesis; discrete time systems; fuzzy systems; stability; state feedback; time-varying systems; H_∞ state-feedback controller design; fast switching scheme; fuzzy-basis dependent Lyapunov function; mode dependent Lyapunov function; mode-dependent average dwell time switching; slow switching scheme; stability analysis; switched discrete time fuzzy systems; switched nonlinear systems; Closed loop systems; Fuzzy systems; Stability analysis; Switched systems; Switches; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on

Conference_Location

Orlando, FL

ISSN

0743-1546

Print_ISBN

978-1-61284-800-6

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2011.6161132

Filename

6161132