H-Infinity Control for a Class of Multiple Time Delay Fuzzy Descriptor Systems

In this paper, we focus on the problem of H-infinity control for a class of nonlinear systems described by the Takagi-Sugeno (T-S ) fuzzy descriptor model with multiple time delays and disturbance. The descriptor type of Lyapunov-Krasovskii functional is employed to analyze the H-infinity stability, then a state feedback H-infinity controller is determined, which ensures that the closed system is quadratic ally stable and guarantees the H-infinity performance. The sufficient conditions for the solvability of this problem are presented in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to demonstrate the application of the proposed method.