Gauranteed Cost Control Based Anti-Windup Design for Discrete-Time Systems with Time Delay and Actuator Saturation

This paper focuses on developing an anti-windup compensator using a guaranteed cost control (GCC) approach. The aim is to ensure stability in the closed-loop discrete-time system with time delay by employing a quadratic Lyapunov function. Linear matrix inequality (LMI) is used to prove the existence of a feedback controller. The anti-windup design is seamlessly integrated into this framework to effectively counteract the effects of actuator saturation. The combination of anti-windup techniques and guaranteed cost control provides an innovative approach to achieve asymptotic stability and optimal performance. The proposed methodology has significant implications for various engineering applications where control systems are susceptible to actuator saturation. The effectiveness of the proposed strategies is demonstrated with relevant examples.