Stabilization of a Class of Polynomial Systems with Input Saturation Based on Event-Triggered Control

This paper addresses a robust stabilization problem of polynomial systems with input saturation. Firstly, based on the framework of hybrid systems, an event-triggered controller is designed to establish the local uniform asymptotical stability of the closed-loop polynomial system. Secondly, the semi-global robust stabilization of polynomial systems using the event-triggered control is analyzed. In particular, robustness is developed to general perturbations that reflect the state noise and unmodeled dynamics, as well as inflation of flow and jump sets. Finally, two examples are presented to verify the designed event-triggered control strategy.