ROBUST H∞ STATE FEEDBACK CONTROLLER FOR DISCRETE-TIME TAKAGI-SUGENO SYSTEMS

Abstract

This paper develops a robust state feedback control for discrete-time Takagi-Sugeno fuzzy model system. The state H∞ feedback controller is synthesized based on a fuzzy model control technique called Parallel Distributed Compensation (PDC). The new algorithm is a proposed straightforward controller to robustly stabilize the highly nonlinear systems and reduce the conservatism. Thus, the algorithm is used to improve the performance and to guarantee the steady state condition of the nonlinear system and ensure the robustness of the fuzzy model system. Moreover, a design condition and criteria for the controller are given by the feasibility of linear matrix inequalities (LMIs). So the simulations verify that the designed technique will assure H∞ performance of the nonlinear system and attenuate the effect of external disturbances