Fuzzy Guaranteed Cost Control for Nonlinear systems

Abstract

This paper deals with the control of nonlinear continuous-time systems with norm bounded uncertainties. A Takagi-Sugeno (TS)-fuzzy model is used to approximate the class of nonlinear systems under study. Under some appropriate assumptions, a state feedback controller that robustly stabilizes this class of systems and at the same time guarantees the minimal cost is proposed and results to design such controller are developed in the LMI setting. A numerical example is provided to show the efficiency of the proposed theoretical results