Robust and non-fragile fuzzy H∞ controller design for discrete-time systems with parameter uncertainties and time delay

In this paper, we show a controller design method for a class of discrete-time nonlinear systems described in T-S(Takagi-Sugeno) fuzzy model, which has uncertainties in state and input. The robust and non-fragile fuzzy H
^infin
controller is designed based on Lyapunov function theory, PDC(parallel distributed compensation) and PLMI (parameterized linear matrix inequality) method. Those ensure the asymptotically stability and the performance of the resulting closed-loop systems for uncertainties. The numerical example and simulation are presented to show the feasibility and effectiveness of the proposed method.