H∞ control of Takagi-Sugeno systems with multiple time-delays

Author

Nachidi, Meriem ; Tadeo, Fernando ; Benzaouia, Abdellah

Author_Institution

Dipt. de Ing. de Sist. y Autom., Univ. de Valladolid, Valladolid, Spain

fYear

2009

fDate

23-26 Aug. 2009

Firstpage

354

Lastpage

359

Abstract

This paper investigates the design of H_∞ static output-feedback controllers for Takagi-Sugeno fuzzy systems with time delays. Based on a fuzzy Lyapunov-Krasovskii functional, a sufficient stability condition in terms of Bilinear Matrix Inequalities is derived for the stabilization of these systems, guaranteeing an H_∞ performance. To solve the nonconvexity involved in this condition, a cone complementarity formulation based on an LMI-based algorithm is used. A numerical example is given to illustrate the proposed approach.

Keywords

H^∞ control; Lyapunov methods; control system synthesis; delays; feedback; fuzzy control; linear matrix inequalities; stability; H_∞ control; H_∞ static output-feedback controller design; LMI-based algorithm; Lyapunov-Krasovskii functional; Takagi-Sugeno fuzzy systems; bilinear matrix inequalities; cone complementarity formulation; multiple time-delays; nonconvexity; stability condition; Attenuation; Closed loop systems; Delays; Fuzzy systems; Stability analysis; Takagi-Sugeno model; LMIs; Nonlinear systems; Takagi-Sugeno fuzzy models;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2009 European

Conference_Location

Budapest

Print_ISBN

978-3-9524173-9-3

Type

conf

Filename

7074427