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 with distributed delays are discussed. By employing the Lyapunov functional method, ?Ito formula and Schur complement lemma, a novel approach of robust stabilization and ?H control of the closed loop system is developed and the results are given by linear matrix inequality(LMI). Finally, numerical example shows the effectiveness of our method. The main research work are listed as follows:The first chapter gives a simple description of the control theory, stochastic systems, fuzzy systems, Lyapunov stability theory.The second chapter discusses the problem of robust stabilization and H? control for neutral fuzzy stochastic system with distributed delays. By employing the theory of Lyapunov stability, ?Ito formula and parallel distributed compensation(PDC), the feedback controller is constructed. The novel method for robust stabilization of the closed loop plant is shown via linear matrix inequality(LMI). Finally, numerical example shows that our method is efficient.The third chapter discusses the problem of H? control for neutral fuzzy stochastic system with distributed delays. The similar method used in the second chapter are in application to deal with the ?H problem for such kind system.At last, a new method of fuzzy control in this paper is summarized, and some problems that need to be further studied are pointed out.