Event-triggered output feedback control for low-order stochastic nonlinear time-delay systems with stochastic inverse dynamics

This paper focuses on the problem of event-triggered output feedback control for low-order stochastic nonlinear time-delay systems with stochastic inverse dynamics. Before proceeding, it is necessary to address several technical obstacles. Firstly, the strategy of varying the supply rate is paired with stochastic-input-to-state-stable (SISS) to address immeasurable stochastic inverse dynamics. Secondly, a novel reduced-order observer with a set of constant gains is designed. In addition, an event-triggered output feedback controller is developed and a new analytical approach is applied to show that the Zeno behavior does not happen. With the aid of the Lyapunov stability theory, it is proved that the closed-loop system is globally asymptotically stable in probability. Finally, a simulation example is presented to illustrate the effectiveness of the proposed event-triggered control scheme.