Anti-Windup Compensator Synthesis for Discrete-Time-Varying Delay Systems with Missing Measurements: An Improved Relaxed Summation Inequality

This paper addresses the problem of synthesizing an anti-windup compensator for discrete variable delay systems with missing measurements. The descriptor redundancy approach, embedding the Lyapunov–Krasovskii functional, relaxed summation inequality, and linear matrix inequality (LMI) techniques are applied to guarantee the stability of the closed-loop system. An optimization algorithm is proposed to maximize the estimated domain of attraction that can be easily implemented. Numerical examples are given to illustrate the advantages of the proposed procedure over other methods available in the literature and to show that it is less conservative than other approaches.