Quadratic stabilization of uncertain discrete-time fuzzy dynamic systems

New approaches to quadratic stabilization of uncertain discrete-time fuzzy dynamic systems are developed in this paper. This uncertain fuzzy dynamic m odel is used to represent a class of uncertain discrete-time complex nonlin ear systems which include both linguistic information and system uncertaint ies. It is shown that the uncertain fuzzy dynamic system is stabilizable if a suitable Riccati equation or a set of Riccati equations have solutions. Constructive algorithms are also developed to obtain the stabilization feed back control laws. Finally, an example is given to illustrate the applicati on of the proposed method.