On Static and Dynamic Triggered Mechanisms for Event-Triggered Control of Uncertain Systems

This study presents both static and dynamic event-triggered mechanisms for the design of event-triggered stabilizing state feedback controllers for a class of uncertain nonlinear systems. Sufficient conditions based on linear matrix inequalities are first provided to guarantee the asymptotic stability of the closed-loop system. The controllers are then systematically designed. We also prove that the inter-event intervals of the considered event-triggered mechanisms are positive, therefore ensuring that the Zeno behavior does not happen. Two examples with simulations are provided to illustrate the theoretical results.