Antiwindup Compensator-Based Control for Periodic Piecewise Delayed Systems With Input Saturations

This work examines the stabilization problem for periodic piecewise systems (PPSs) with state and input delays, actuator saturations, and external disturbances via an antiwindup compensator (AWC)-based dynamic controller. Specifically, the undesirable consequences caused by saturation are alleviated by implementing the AWC-based dynamic controller. More precisely, AWC not only eliminates the saturation effects but also enlarges the estimation of the domain of attraction. Moreover, by constructing a suitable Lyapunov-Krasovskii functional, the sufficient conditions affirming asymptotic stability of addressed PPSs are established in the form of linear matrix inequalities (LMIs). Notably, the developed LMI conditions can be effectively solved using standard numerical packages and the desired antiwindup gain matrices can be calculated with satisfactory disturbance attenuation level. Finally, two numerical examples are given to demonstrate the usefulness and efficiency of the developed theoretical findings.