A New Event-Triggered Control Scheme for Stochastic Systems

This article studies event-triggered control of stochastic linear discrete-time systems with discounted quadratic cost functions. A new dynamic event-triggering condition is proposed, which has simultaneously stochastic and deterministic features. The designed event-triggered control system ensures the control performance to be within a desirable level relative to that using periodic time-triggered control, while discarding the unnecessary transmissions. By adjusting the parameters, the proposed event-triggering condition can be reduced to some existing ones in the literature. It is shown that the three features (dynamic, stochastic, and deterministic) are all helpful to further increase the average interevent times. Then, the criteria in terms of the parameters are presented to ensure mean-square stability of the closed-loop systems. Moreover, an improved version of the proposed event-triggering condition is given to enlarge the minimum interevent times. Finally, numerical simulations are given to illustrate the efficiency and feasibility of the proposed results.