A STABILIZATION ALGORITHM FOR DISCRETE-TIME FUZZY CONTROL-SYSTEMS

This article presents a design method for discrete-time fuzzy control systems. The method is based on a discrete-time Takagi-Sugeno fuzzy st ate space model. A suitable quadratic Lyapunov function is used to est ablish asymptotic stability of the closed loop system. A necessary and sufficient condition for stabilization of a discrete-time fuzzy contr ol system is given. Furthermore, a constructive algorithm is developed to obtain the stabilizing feedback control law. The stabilization alg orithm involves solving a certain discrete-time algebraic Riccati equa tion. Two examples are given to illustrate the application of the meth od. (C) 1996 John Wiley and Sons, Inc.