关键词: T-S模糊广义系统, 最优保成本控制, 不确定性, 时变时滞, 线性矩阵不等式(LMIs)

Abstract: An optimal robust guaranteed cost control method is proposed on the basis of delay-independent criterion for a class of uncertain Takagi-Sugeno (T-S) fuzzy descriptor systems with time-varying delay. A linear quadratic cost function is considered as the performance index of the closed-loop system. Then, the robust guaranteed cost control of the closed-loop fuzzy descriptor system is discussed. The sufficient conditions for the existence of robust guaranteed cost controller via state feedback are given in terms of linear matrix inequalities (LMIs). And the design of optimal guaranteed cost controller can be reduced to a convex optimization problem constrained by LMIs. The designed controller is able to not only guarantee the robust asymptotic stability of the closed-loop uncertain fuzzy descriptor delay system, but also provide a minimized upper bound of the guaranteed cost. A numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.