Network-based fuzzy H∞ controller design for T-S fuzzy systems via a new event-triggered communication scheme

Abstract

This paper is concerned with network-based fuzzy H∞ control for a class of T-S fuzzy systems under an event-triggered communication scheme. Considering the fact that the network-induced delays are inevitable, the closed-loop system is modeled with asynchronous membership functions. To deal with the asynchronous membership functions, a new condition that limits the deviation bounds of membership functions, is introduced into the event-triggered scheme (ET scheme). Besides, by introducing a fuzzy event-triggered weighting matrix, a new ET scheme is proposed. Based on the proposed ET scheme, a novel criterion for the asymptotic stability and H∞ performance analysis is established in terms of linear matrix inequalities. Then some sufficient conditions and an algorithm to co-design the controller and the parameters of the ET scheme are presented. The effectiveness of the proposed method is illustrated through a mass-spring-damper system.