A Lyapunov-based small-gain approach on design of triggering conditions in event-triggered control systems

This paper studies a Lyapunov-based small-gain approach on design of triggering conditions in event-triggered control systems. The event-triggered control closed-loop system is formulated as a hybrid system model. Firstly, by viewing the event-triggered control closed-loop system as a feedback connection of two smaller hybrid subsystems, the Lyapunov-based small-gain theorems for hybrid systems are applied to design triggering conditions. Then, a new class of triggering condition, the safe, adjustable-type triggering condition, is proposed to tune the parameters of triggering conditions by practical regulations. This is conducive to break the restriction of the conservation of theoretical results and improve the practicability of event-triggered control strategy. Finally, a numerical example is given to illustrate the efficiency and the feasibility of the proposed results.