Output feedback control design for Takagi-Sugeno fuzzy bilinear time-delay systems

This paper is concerned with stability analysis and output feedback control design of fuzzy bilinear systems with time-varying delay. First, we consider the stability of the closed-loop systems by assuming a special form of a fuzzy controller. A stability condition is given in terms of linear matrix inequality (LMI). Based on such a stability condition, we propose a state feedback stabilizing control design for fuzzy bilinear systems with time-varying delays. Next, we consider a fuzzy observer design for the same class of systems. Then, we show that state feedback stabilizing controller and observer make an output feedback stabilizing controller. Finally, we give some numerical examples to illustrate our design procedures and to show the effectiveness of our approach.