Event-triggered robust H∞ state estimation for T-S fuzzy systems via piecewise Lyapunov functions

Abstract

This paper is concerned with the design of H∞ event-triggered state estimation for discrete-time T-S fuzzy systems. With the event triggering communication strategy, only the measured outputs of the physical plant that violate a predefined triggering condition will be transmitted in the communication channel. Considering that the implementation of the filter may not be synchronized with the plant trajectories due to the asynchronous premise variables in network environment, a novel observer-based piecewise fuzzy filter is proposed. By applying a piecewise Lyapunov-Krasovskii functional and some techniques on matrix convexification, a method of event-triggered H∞ piecewise filter design is developed for the filtering error system concerned to be asymptotically stable with a given disturbance attenuation level and reduced transmission rate. Moreover, a co-design algorithm to derive the filter gains and the event triggering parameters is proposed.