Periodic Event-Triggered Control for Stabilization of Lur'e Systems Under Saturating Actuators

This paper deals with the stability analysis of continuous-time Lur'e systems under dynamic periodic event-triggered saturating control. A looped-functional approach is applied to handle the continuous-time dynamics of the plant and the aperiodic control signal updates. Considering the emulation design, sector-based inequalities, and Lyapunov Theory arguments, sufficient conditions are derived to ensure local asymptotic stability of the origin of the closed-loop system. Then, a convex optimization problem is proposed to synthesize the event generator parameters aiming to reduce the number of events regarding the time-based implementation. The proposed approach is illustrated by a numerical example.