Delay-Dependent Robust H∞ Control for Uncertain Fuzzy Markovian Jump Systems

This paper is concerned with the problem of delay-dependent robust H-infinity control for uncertain fuzzy Markovian jump systems with time delays. The purpose is to design a mode-dependent state-feedback fuzzy controller such that the closed-loop system is robustly stochastically stable and satisfies an H-infinity performance level. By introducing slack matrix variables, a delay-dependent sufficient condition for the solvability of the problem is proposed in terms of linear matrix inequalities. An illustrative example is finally given to show the applicability and effectiveness of the proposed method.