Networked L2-gain analysis and controller design for T-S fuzzy systems via an event-triggered communication scheme

This paper is concerned with networked L2-gain analysis and controller design for a T-S fuzzy system under an event-triggered communication scheme. Due to the use of the network that induces delays, the networked control system is described by an asynchronous T-S fuzzy system with an interval time-varying delay. Taking the probability distribution characteristic of network-induced delays into account, the artificial interval delay is divided into two subintervals. Applying such a delay division method and a new relaxation method based on the deviation bounds of asynchronous normalized membership functions, some delay-dependent criteria on L2-gain analysis and controller design of the asynchronous system are derived in terms of linear matrix inequalities. A numerical example is given to demonstrate the effectiveness of the obtained results.