Event-triggered stability of singularly perturbed system with time delay

This paper studies the stabilization of the event-triggered control linear singularly perturbed systems with network-induced constant time delay. The singularly perturbed method is used in the stability analysis of the event-triggered closed-loop systems. The slow subsystem model is used in the event-triggering condition. The slow subsystem model in the controller is used to generate the control signals. The criteria of the time delay bound and the parameters in the event-triggering condition are given to obtain the ultimately bounded stability of the closed-loop system. Moreover, Zeno behavior is excluded through the design of the parameters in the event-triggering condition. Finally, a numerical example is given to illustrate the efficiency and feasibility of the theory results.