Event-triggered control with output feedback using dynamic triggering mechanism

In this paper, a new dynamic trigger mechanism for event-triggered control of linear systems is presented. This control protocol is governed by a trigger defined based on an internal dynamic variable. An event-triggered control system with a output-feedback controller is studied. The asymptotic stability of the resulting closed-loop system is guaranteed by a condition in terms of an LMI (Linear Matrix Inequality). By solving this LMI, we can design the event condition. A candidate Lyapunov function is proposed to illustrate the asymptotic convergence of the closed-loop system. Simulation results are provided for illustration of the theoretical claims at the end.