New condition of stabilization for non linear Takagi-Sugeno discrete time uncertain system

This paper deals with the control law design with state feedback, and give a new approach of stabilization of discrete time Takagi-Sugeno uncertain fuzzy system. Using non quadratic Lyapunov function, the new condition of stabilization is used in terms of linear matrix inequalities LMIs. By using the simulation we verify the robustness of this approach.