On the Adaptive Fuzzy stabilization of unknown nonlinear Systems

In this work, we present a state feedback adaptive fuzzy control method, applied to the stabilization of a nonlinear system whose mathematical model is unknown or/and with varying time parameters. The synthesis of the control law is based on fuzzy models developed by a local description of the considered system's dynamics. Therefore, two steps, at each time, are necessary to the adaptive control of such system. The first one consists in estimating every local model parameters, using a gradient method as parameter's adjustment method. The second one consists in the computation, of the control law based on the classical methods applied for the linear system control as the state feedback control. The stability of the proposed adaptive control method is discussed.