New Lyapunov function for Takagi-Sugeno discrete time uncertain systems

This paper investigates the influence of a new Lyapunov function on the feasible area of stabilization for a discrete-time Takagi-Sugeno (T-S) fuzzy parametric uncertain systems. Using a new nonquadratic Lyapunov function, a new sufficient stabilization criterion is established in terms of linear matrix inequality (LMIs). The used approach combines together the states feedback with non-PDC control law to give a stabilization condition for uncertain system. The robustness of the proposed approach have been illustrated via numeric simulation.