Robust stabilization of uncertain T-S fuzzy systems: An integral error dependent sliding surface design approach

Abstract

In this paper, an unique control law for a class of systems having bounded uncertainty, represented by T-S fuzzy models using sliding mode technique has been discussed. The proposed theory explores the possibility of incorporating an integral error while designing sliding surface that reduces the settling time and the reaching time as well. Subsequently, the conditions necessary for robustly stabilizing the closed-loop system has been derived by obtaining the solution for a given linear matrix inequality(LMI). Finally, the simulation results for an inverted cart-pendulum system subject to bounded external disturbances have been presented to justify the usefulness and uniqueness of the approach.