Abstract

AbstractThe finite‐time event‐triggered H∞ filtering of the continuous‐time switched time‐varying delay linear (CSTDL) systems is addressed in the paper. Firstly, by the merging switching signal technique, the CSTDL system and its filtering switched system are established as a filtering error system (FES) with augmented switching signal. And asynchronous switching of switched system modes and filter modes occurs since a mode‐dependent event‐triggered transmission scheme (METS) which determines the system output and switching signal is addressed. Secondly, the sufficient conditions are given to make certain that the FES is finite‐time bounded (FTB) and has a specified H∞ performance by using the average dwell time (ADT) and multi‐Lyapunov functional method. Furthermore, a finite‐time H∞ filter is composed based on the inequalities of the parameters of the METS. Ultimately, a numerical example is inspired to manifest the availability of the effects in the study.

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