A Class Of Uncertain Discrete Singular Fuzzy Systems, Robust Control,

The study of singular systems is receiving more and more attention of scholars, also, its theory more and more perfect. But the uncertain parameters are frequently encountered in many practical systems. For the discrete-time singular fuzzy systems, This paper investigates the problems of robust stabilization, robust H∞control, robust cost control and robust H∞cost control base on Lyapunov function problem,linear matrix inequality approach and the method of robust control. Fristly the robust stabilization of the discrete- time singular fuzzy systems is solved, and we have given the sufficient conditions for this problems. Based on this, we further investigate the problems such as robust cost control and robust H∞cost control. And for each problem we have the sufficient conditions and its design.