Asynchronous Event-Triggered Finite-Time Filtering for Networked Switched T–S Fuzzy Systems

This paper investigates the problem of event-triggered finite-time robust filtering for a class of networked switched T–S fuzzy systems. By adopting the extended dissipative performance index, the H∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_{\infty }$$\end{document} and L2-L∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_{2 }-L_{\infty }$$\end{document} filtering problems can be solved in a unified framework. We propose an event-triggered scheme to save the network resources. Under the event-triggered scheme, the filter is not synchronized with the corresponding subsystem. By constructing a reasonable Lyapunov–Krasovskii function, we give sufficient conditions for the finite-time extended dissipative of the filtering error system. We employ the T–S fuzzy models to represent the nonlinear subsystems. The filter gains can be obtained by solving some matrix inequalities. Finally, an example is presented to show the efficiency of the method.