Title :
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
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;
Conference_Titel :
Control Conference (ECC), 2009 European
Conference_Location :
Budapest
Print_ISBN :
978-3-9524173-9-3
