IEEE Trans Cybern. 2022 Nov;52(11):11834-11846. doi: 10.1109/TCYB.2021.3073023. Epub 2022 Oct 17.
This article studies the event-triggered impulsive control (ETIC) with constraints for the stabilization of switched stochastic systems (SSSs). An ETIC scheme with constraints is proposed for SSS by designing two levels of events via three indices: 1) a threshold value; 2) a control-free index; and 3) a check period. It is also constrained via a constraint index. Based on the activation probabilities and transition probabilities of subsystems, the stabilizations in terms of the p th moment exponential stability and almost exponential stability are achieved, respectively, by the ETIC with constraints. Moreover, based on the scheme of ETIC with constraints, sampling-based ETIC and random ETIC are proposed, respectively. The stabilization conditions via sampling-based ETIC and random ETIC are also derived. It is shown that the ETIC with constraints is non-Zeno and robust with respect to time delays and can achieve lower impulse frequency than the classic time-based impulsive control and recent ETIC schemes. Finally, two examples are presented to demonstrate the effectiveness of the ETIC with constraints.
本文研究了切换随机系统（SSSs）稳定化的带约束的事件触发脉冲控制（ETIC）。通过设计三个指标：1）阈值；2）无控制指标；和 3）检查周期，为 SSSs 提出了一种带约束的 ETIC 方案。它还通过约束指标进行约束。基于子系统的激活概率和转移概率，通过带约束的 ETIC 分别实现了 p 阶矩指数稳定性和几乎指数稳定性。此外，基于带约束的 ETIC 方案，分别提出了基于采样的 ETIC 和随机 ETIC。还推导出了基于采样的 ETIC 和随机 ETIC 的稳定化条件。结果表明，带约束的 ETIC 是非零频率且对时滞具有鲁棒性，并且可以比经典的基于时间的脉冲控制和最近的 ETIC 方案实现更低的脉冲频率。最后，给出了两个实例来说明带约束的 ETIC 的有效性。
