Finite-Time Stabilization of Linear Systems With Input Constraints by Event-Triggered Control

Abstract

Dear editor, This letter designs the event-triggered control (ETC) to achieve finite-time stabilization (FTS) of linear systems with input constraints. The key idea of the established algorithm is that the designed time-varying high-gain is only scheduled on a specified time determined by an event-triggered mechanism. By exploring the properties of the parametric Lyapunov equation, a positive lower bound of inter-event times associated with the designed ETC can be obtained, such that the Zeno phenomenon is avoided. Moreover, semi-global FTS of linear systems with input constraints is also achieved by the designed ETC. Finally, the application of the spacecraft rendezvous control system verifies the effectiveness of the designed ETC.