Less Conservative LMI-Based Conditions to Analyze the Solution of Switched TS Fuzzy Systems

Abstract

In this paper, a less conservative sufficient condition that ensure the ultimate boundedness of the solutions of switched TS fuzzy systems is proposed. The main result is given in terms of linear matrix inequalities (LMIs), which were formulated by calculating the derivative of the auxiliary function V along the solution of the system formed by a convex combination of the switching subsystems. The LMI conditions were relaxed using the S-procedure. A numerical example illustrates the efficiency of the proposed result.