Event-Triggered H∞ Control for T-S Fuzzy Systems via New Asynchronous Premise Reconstruction Approach

This article studies the problem of H_{\infty } controller design for discrete-time T-S fuzzy systems under an event-triggered (ET) communication mechanism. By proposing a new asynchronous premise reconstruction approach, new types of ET fuzzy controllers are designed to overcome the challenges caused by the mismatch of premise variables, in which the gains of the designed controllers are automatically updated at different triggering instants according to an online algorithm. By constructing discontinuous Lyapunov functions, it is proved that the proposed ET controllers guarantee the stability and H_{\infty } performance of the closed-loop systems. Two examples are provided to verify the validity of the proposed design method.