Anti-windup Controller Design for State-Delayed Discrete-Time Systems with Missing Measurements

The aim of this study is to offer a way for dealing with the stabilization of discrete delayed systems with missing measurements using an anti-windup compensator. Linear matrix inequalities are used to establish a set of sufficient conditions based on the Lyapunov–Krasovskii function that ensure the asymptotic stability of the system through the anti-windup controller and the performance of 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} norm. A characterization of the stability domain is also given. Numerical examples are given to contrast with previous studies, and show the efficiency of our methodology in obtaining the largest estimated domain of attraction, upper bounds of the delay as well as the minimum value of performance attenuation 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}, which means that our approach gives less conservative results than the other methods.