Stability Analysis of Asynchronous Impulsive Switched T-S Fuzzy Systems Based on the Admissible Edge-dependent Scheme

Abstract

The main purpose of this paper is to study the stability of discrete-time impulsive switched T-S fuzzy systems with two kinds of asynchronous behaviors, including asynchronous behavior between impulse and switching, and asynchronous switching between controllers and subsystems. We divide the subsystems into stable and unstable subsystems, which respectively adopt slow switching and fast switching methods. Then, based on multiple Lyapunov functions, admissible edge-dependent average dwell time (AED-ADT) and admissible edge-dependent average impulsive interval (AED-AII) methods, sufficient conditions for global uniform exponential stability (GUES) of the closed-loop system are established, and the results are less conservative than that based on mode-dependent average dwell time (MDADT) and mode-dependent average impulsive interval (MDAII) methods. In addition, we provide the solvability conditions for the state feedback controller. Finally, several numerical examples are provided to verify the effectiveness of the results in this paper.