Exponential stability of a class of switched fuzzy delay systems

Abstract

This paper considers the exponential stability problem for a class of switched fuzzy (SF) delay systems. A new method based on a switching technique is presented to solve this problem. A switched fuzzy delay system, which differs from existing ones, is firstly employed to describe a nonlinear system, and then some new concepts about the innovated SF delay system are introduced. Usually, this class of systems can precisely describe continuous and discrete dynamics as well as their interactions in the complex real-world systems. Next, based on the scheme of average dwell time, the switched state feedback controllers for the proposed SF delay systems are built to ensure that the relevant closed-loop system is exponentially stable. A bound on the average dwell time guaranteeing exponential stability can be explicitly calculated via the solutions of some linear matrix inequalities (LMIs). Finally, various comparisons of the elaborated examples are conducted to demonstrate the effectiveness of the proposed control design approach. All results illustrate good control performances as desired.