Non-fragile control of uncertain T-S fuzzy systems with time delay

Abstract

This paper describes the non-fragile state feedback controllers for T-S fuzzy system with time-varying delay and parameter uncertainties. The merit of the proposed conditions lies in the less conservativeness than the existing ones, which is achieved by paying careful attention to the subtle difference between the two integral terms, which is largely ignored in the existing literatures. The non-fragile fuzzy state feedback gain is derived through the numerical solution of a set of linear matrix inequalities (LMIs). The efficiency and the benefit of our method are demonstrated by a numerical example.