New stabilization conditions for continuous fuzzy models using their discretized forms

Abstract

Purpose – The purpose of this paper is to deal with the stabilization of the continuous-time Takagi-Sugeno (TS) fuzzy models by using their discretized models. Design/methodology/approach – In this case, a discrete model is obtained from the discretization of the continuous TS fuzzy model. The gains obtained from a non-parallel distributed compensation controller ensuring the stabilization of the discrete model are used to check if the discrete control law used in the continuous time without any zero-order hold can stabilize the continuous TS model. Findings – This method is compared to another published method. Originality/value – Therefore, the originality of this paper consists in the fusion of the two continuous and discrete cases to obtain new stabilization conditions in the continuous case. Simulation examples show the interest of the proposed approach.