On the stabilization of continuous Takagi Sugeno fuzzy systems using discrete control approach

Abstract

This paper deals with the control of the continuous Takagi Sugeno (TS) fuzzy models using discrete control approach. This approach is structured as follows: first, a discrete model is obtained from the discretization of the continuous TS fuzzy model. In this case, the Euler discretization is used for order of approximation superior to one. Second the gains of a non PDC control law ensuring the stabilization of the discrete model are determined. Third by keeping the values of the gains, we check by simulation the stability of the continuous TS fuzzy models through the zero order hold. In this case, the effect of the discretization step on the continuous TS fuzzy models stability results is studied. Simulation example illustrates the effectiveness of this approach.