Aperiodic Event-Triggered Controls for Stochastic Functional Differential Systems With Sampled-Data Delayed Output
Xuetao Yang, Taizhong Zhao, Quanxin Zhu
Abstract
In this article, we discuss the stabilization problem for stochastic functional differential systems (SFDSs) with sampled-data delayed output. Different from the traditional stochastic systems with continuous or periodic output signals, the system output measurements under consideration are only available at sampling times and they are aperiodic. To deal with this problem, we propose a compensator for the unmeasurable system states and a novel aperiodic event-triggered control (AETC) based on the compensator and output to guarantee a good convergence of the state error. Subsequently, we apply the Lyapunov-Krasovskii functional method (LKFM) to solve the difficulty induced by the delays involved in both SFDSs and output values. Then, the mean-square exponential stabilization of SFDSs is established by AETC and LKFM. Finally, the obtained results are verified by a two-stage chemical reactor system.