Event-triggered control of Itô stochastic nonlinear delayed systems with state quantization

The problem of event-triggered control (ETC) of stochastic nonlinear delayed systems with state quantization is investigated. In order to reduce the communication burden and computational cost, an ETC mechanism and state quantization are introduced in the control scheme. Two configurations are considered to investigate their interaction: quantization before event-trigger (QE) and quantization after event-trigger (EQ), respectively. Based on this, a static event-triggered mechanism (ETM) is designed while avoiding the Zeno phenomenon. The system allows known input-to-state stability (ISS) control law, followed by utilizing the Halanay inequality to achieve stabilization. In both configurations, the stabilization of the closed-loop system is guaranteed. We show that communication times can be reduced by adjusting parameters and selecting the suitable configuration. Moreover, to further enhance resource conservation, we illustrate the feasibility of dynamic ETMs in this framework. Numerical simulation results validate the effectiveness of the proposed ETC schemes.