Guaranteed Cost Control Design for Bilinear Fuzzy Systems

Abstract

This paper is concerned with stability and guaranteed cost control of Takagi-Sugeno fuzzy bilinear systems with time-varying delay. We first consider the stability and guaranteed cost of the closed-loop systems by assuming a special form of a fuzzy controller. Delay-dependent conditions for the stability with guaranteed cost are given in terms of linear matrix inequalities (LMIs). Free-weighting matrix method is introduced to reduce the conservatism of the conditions. Based on such conditions, we propose a design method of guaranteed cost control for fuzzy bilinear systems with time-varying delays. Finally, we give a numerical example to illustrate our design procedures and to show the effectiveness of our approach.