Hu Zenghui, Mu Xiaowu
IEEE Trans Cybern. 2022 Aug;52(8):7805-7813. doi: 10.1109/TCYB.2021.3052166. Epub 2022 Jul 19.
We study the stabilization problem for nonlinear stochastic systems via an event-triggered impulsive control (ETIC) scheme, where the impulsive control time sequence is generated by the event-triggered mechanism (ETM). Both continuous ETM and periodic ETM are developed by continuous measuring and periodic sampling, respectively. The continuous ETM with time regularization is proposed to exclude the Zeno behavior. The upper bound of the sampling period is given for the periodic ETM. By means of the continuous ETM and periodic ETM, sufficient conditions are given to guarantee the p th moment uniform stability and the p th moment exponential stability of related systems. Moreover, LMI-based conditions of exponential stability in the mean square are established for linear stochastic systems under ETIC. Finally, two examples are presented to illustrate the proposed ETIC schemes, in which an example of the consensus of linear stochastic multiagent systems is considered.
我们通过事件触发脉冲控制（ETIC）方案研究非线性随机系统的镇定问题，其中脉冲控制时间序列由事件触发机制（ETM）生成。连续ETM和周期ETM分别通过连续测量和周期采样来实现。提出了具有时间正则化的连续ETM以排除芝诺行为。给出了周期ETM采样周期的上界。借助连续ETM和周期ETM，给出了保证相关系统p阶矩一致稳定性和p阶矩指数稳定性的充分条件。此外，还建立了基于线性矩阵不等式（LMI）的ETIC下线性随机系统均方指数稳定性条件。最后，给出两个例子来说明所提出的ETIC方案，其中考虑了一个线性随机多智能体系统一致性的例子。
