Robust Stabilization And H_∞ Control For Neutral Stochastic Fuzzy Time-delay Systems

The problem of robust stabilization and H￥ control for neutral T-S stochastic fuzzy time-delay systems are discussed. By using the Lyapunov functional method, Schur complement lemma, ?Ito formula and parallel distributed compensation(PDC), the closed loop system of robust stabilization and H￥control are given by linear matrix inequality(LMI). Finally, numerical example shows that our method is efficient. The main research work are listed as follows:The first chapter gives a simple description of the birth of Cybernetics, stability theory, stochastic systems, fuzzy systems. Then make a simple introduction for using definitions, lemmas, and symbol in this article.The second chapter discusses the problem of robust stabilization and H￥ control for neutral fuzzy stochastic system with constant delay. By using the theory of Lyapunov stability, ?Ito formula and parallel distributed compensation(PDC)design of feedback controller. The closed loop system of robust stabilization and H￥control is given by linear matrix inequality(LMI). Finally, numerical example shows that our method is efficient.The third chapter discusses the problem of delay-dependent robust stabilization and H￥ control for neutral fuzzy stochastic system adopt the method of similar to those in the second chapter. Finally, numerical example shows that our method is efficient.All in all, this paper is concerned with the problems of robust stabilization and H￥ control for neutral T-S fuzzy stochastic time-delay systems, provide the fuzzy control theory with a new fuzzy control method, it also will provide theoretical basis for solving the actual problems in engineering and new ideas.