Approaches to quadratic stabilization of uncertain fuzzy dynamic systems

A new approach to quadratic stabilization of uncertain fuzzy dynamic systems is developed in this paper. This uncertain fuzzy dynamic model is used to represent a class of uncertain continuous time complex nonlinear systems which include both linguistic information and system uncertainties. It is shown that the uncertain fuzzy dynamic system can be stabilized if a suitable Riccati equation or a set of Riccati equations has solutions. Constructive algorithms are also developed to obtain the stabilization feedback control laws. Finally, an example is given to illustrate the application of the proposed method.