Event-triggered asynchronous control for switched T-S fuzzy systems based on looped functionals

In this paper, we address the event-triggered H-infinity control for switched T-S fuzzy systems with asyn-chronism by means of looped functional approach. Different from the traditional Lyapunov functional, looped functional does not require positive definiteness and involve more sampling information, which can greatly reduce conservatism. First, we propose a mode-dependent event-triggered transmission strat-egy based on nonuniform sampled data. Since the switching of the system during the triggering interval will cause asynchronism, we consider the mismatch of modes and premise variables between the fuzzy system and controller. Then, by constructing appropriate two-side looped functionals including the state information of x(t(k)) to x(t) and x(t) to x(t(k+1)), several improved stability criteria are deduced for asyn-chronously switched T-S fuzzy systems with non-weighted L-2 gain. Furthermore, fuzzy controllers and the event-triggered scheme are co-designed to guarantee the stability of the closed-loop system with a prescribed performance index. Finally, two illustrate examples with some comparison results are given to corroborate the validity and advantages of our proposed method. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.