Guaranteed Cost Sliding Mode Control For Discrete Uncertain T-S Fuzzy Systems With Time Delays

Abstract

In this paper, a guaranteed cost based on novel sliding mode control (SMC) for a class uncertain nonlinear time delay systems has been proposed through the T-S (Takagi and Sugeno) models. First of all, a new sliding manifold has been developed to remove the restrictive assumptions in the most of the existing fuzzy sliding mode control approaches. In addition, we took into account the delayed state in the sliding function in order to improve the performance behavior. Furthermore, a good performance can be ensured by choosing an appropriate cost function. The asymptotic stability condition of the closed loop system as well as the sliding mode controller design have been ensured based on LMIs (Linear Matrix Inequalities) formulation. Finally, the obtained simulation results prove the efficiency of the proposed control scheme.