Output feedback control design with guaranteed cost for fuzzy bilinear time-delay systems

Abstract

This paper is concerned with observer-based guaranteed cost control design of fuzzy bilinear systems with time-varying delay. First, we consider the state feedback control design by assuming a special form of a fuzzy controller. A delay-dependent condition, which is less conservative than delay-independent one, for guaranteed cost control design of fuzzy bilinear systems with time-varying delays is given in terms of linear matrix inequality (LMI). Next, we consider a fuzzy observer design for the same class of systems, and propose an observer design method based on another delay-dependent condition. Then, we show that state feedback controller and observer make a stabilizing observer-based output feedback controller with guaranteed cost. Finally, we give a numerical example to illustrate our design procedures and to show the effectiveness of our approach.