Delay-dependent piecewise generalized H2 control of discrete-time fuzzy systems with time-varying delay

Author

Kchaou, Mourad ; Souissi, Mansour ; Toumi, Ahmed ; Hajjaji, Ahmed E L

Author_Institution

Nat. Sch. of Eng. of Sfax, Sfax, Tunisia

fYear

2010

fDate

23-25 June 2010

Firstpage

1145

Lastpage

1150

Abstract

This paper deals with the output feedback generalized H₂ control for a class of discrete-time fuzzy systems with interval time-varying delay. Based on piecewise Lyapunov-Krasovskii functional, a LMIs characterization is established to guarantee the asymptotically stability and generalized H₂ performance of the resulting closed-loop system. Explicit expressions of a desired output feedback controller are proposed when the given LMIs are feasible. A numerical example is given to illustrate the proposed results.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; delay systems; discrete time systems; feedback; fuzzy systems; linear matrix inequalities; piecewise linear techniques; time-varying systems; LMI; asymptotically stability; closed-loop system; delay-dependent piecewise generalized H2 control; discrete-time fuzzy systems; output feedback controller; output feedback generalized H₂ control; piecewise Lyapunov-Krasovskii functional; time-varying delay; Delay; Fuzzy control; Linear matrix inequalities; Output feedback; Silicon; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Control & Automation (MED), 2010 18th Mediterranean Conference on

Conference_Location

Marrakech

Print_ISBN

978-1-4244-8091-3

Type

conf

DOI

10.1109/MED.2010.5547637

Filename

5547637