Direct fuzzy adaptive control based on sliding surface for a class of SISO non-linear systems

In this work we are interested in direct fuzzy adaptive control. The continuous SISO non-linear system is presented by the Takgi-Sugeno type fuzzy state model. The strategy of reference model direct adaptive control theory is presented then the adaptive fuzzy adjustment algorithm is presented. The control law includes two terms. The first is responsible to stabilise the plant is computed based on PDC method. The second constitutes the feed forward gain. All the parameters of the controller are adjusted online. The adjustment algorithm of the controller parameters exploits the sliding surface to profit of robustness of sliding mode control. The stability analysis of the closed-loop system has been proven using the Lyapunov approach. The single synchronous generator coupled to the infinite-bus power system is used to check the performances of the proposed control scheme.