An approach to finite-time controller design for a class of T-S fuzzy systems

This paper studies the finite-time stabilization problem for a class of nonlinear systems described by Takagi-Sugeno (T-S) fuzzy dynamic models with parametric uncertainties. A novel non-Lipschitz continuous state feedback control scheme with augmented dynamics is developed. It is shown that finite-time convergence of the closed loop system can be achieved, and the potential controller singularity problem can be avoided. Finally, one example is given to illustrate the effectiveness of the proposed control approach.

I. Introduction

Takagi-sugeno (t-s) fuzzy dynamic model is an effective tool to describe complex nonlinear systems, see for example [1]–[6]. It is shown that this model has relatively simple structure and universal function approximation capability. During the last few decades, a great number of works on systematic stability analysis and controller synthesis of T-S fuzzy systems have been reported in literature, see for example [7]–[12].