Fuzzy Guaranteed Cost Control Base on Uncertain Singular System

Based on T-S fuzzy model, the robust guaranteed cost control problem is studied for a class of uncertain singular system with state and input delays.Sufficient conditions are provided for the construction of a state feedback guaranteed cost controller.These conditions are given in terms of the feasibility of linear matrix inequalities (LMI) and guarantee that the closed-loop systems are quadratically stable.Moreover, an upper bound of the guaranteed cost is also obtained.A numerical example is provided to demonstrate the effectiveness of the proposed method.