Event-triggered control for stochastic systems with multiple delays

This paper investigates the stabilization problem for continuous-time stochastic systems with multiple delays under continuous event-triggered mechanisms, of which both static case and dynamic case are considered individually. In order to avoid zeno phenomenon in every sample path, a suspension time after each successful execution is forced for our event-triggered mechanisms, resulting in intermittent detection of system states. Under such control strategy, we deduce mean square exponential stability of stochastic systems with multiple delays by means of Hanalay-type inequality and obtain a delay-dependent-based and less-conservative stabilization criterion without involving the upper bound of time delays. Besides, a co-design procedure is proposed for linear controller and event-triggered mechanisms. In the end, an illustrative example is presented to show effectiveness of the proposed co-design procedure and contrasts the system performance under static and dynamic event-triggered mechanisms.

Automated summary

This paper investigates the stabilization problem for continuous-time stochastic systems with multiple delays under continuous event-triggered mechanisms. Both static and dynamic cases are considered individually. A suspension time is introduced after each successful execution to avoid zeno phenomenon, resulting in intermittent detection of system states. Under such control strategy, mean square exponential stability of stochastic systems with multiple delays is deduced by means of Hanalay-type inequality. A delay-dependent-based and less-conservative stabilization criterion without involving the upper bound of time delays is obtained. A co-design procedure is proposed for linear controller and event-triggered mechanisms. An illustrative example is presented to demonstrate the effectiveness of the proposed co-design procedure and compare the system performance under static and dynamic event-triggered mechanisms.