Event-Triggered Control for Stochastic Singular Systems with State Delay

Abstract

This paper is concerned with the problem of event-triggered control for stochastic singular systems with stochastic disturbance and state delay. Based on event-triggered scheme, a model of stochastic singular closed-loop system is proposed. By employing an auxiliary vector function and an integral inequality, and then utilizing the free-weighting-matrix approach, a set of sufficient conditions is derived, which can guarantee that the considered stochastic singular system is stochastically admissible in the mean square. Furthermore, the co-design method of corresponding controller and event-triggered condition is also developed. The proposed method emphasizes the implementation of event-triggered control to stochastic singular systems with time delay. Finally, a simulation example is given to demonstrate the effectiveness and the benefits of our proposed method.