Relaxed sufficient conditions for discrete-time uncertain fuzzy systems

A new approach to robust stability of discrete-time uncertain T-S fuzzy systems is developed in this paper. The uncertain T-S fuzzy dynamic model is used to represent a class of discrete-time uncertain complex nonlinear systems. It is shown that the uncertain T-S fuzzy dynamic model is stable using relaxed fuzzy Lyapunov method. Constructive algorithm based on linear matrix inequality technique is also proposed to obtain the stable feedback gain. Finally, a numerical simulation example is gives to illustrate the effectiveness of the proposed method.