Stability Analysis and Anti-windup Design for Multiple Time-Varying Delay Systems Subject to Actuator Saturation

This paper investigates the characterization of stability regions for linear systems with multiple time-varying delays subject to actuator saturations through anti-windup strategies. In particular, the anti-windup synthesis considering both magnitude and rate limits of time-varying delays is addressed. Using the general sector condition and by quadratic Lyapunov functional, the stability conditions in linear matrix inequality (LMI) forms are presented. Hence, the estimation of the stability region is maximized by solving a convex optimization problem. At the end of the paper, numerical examples are shown to illustrate the effectiveness of the proposed methods and the trade-off between the size of the magnitude and rate limits of time-varying delays and the stability regions.