一类随机时滞非线性系统的事件触发控制

数学物理学报 ›› 2024, Vol. 44 ›› Issue (6): 1607-1616.

一类随机时滞非线性系统的事件触发控制

唐俊(),吴爱龙^*()

湖北师范大学数学与统计学院湖北黄石 435000

收稿日期:2023-11-13 修回日期:2024-04-16 出版日期:2024-12-26 发布日期:2024-11-22
通讯作者: ^*吴爱龙, Email: E-mail: hbnuwu@yeah.net
作者简介:唐俊, Email: hbnutang@163.com
基金资助:
湖北省杰出青年基金(2021CFA080)

Event-Triggered Control for a Class of Stochastic Time-Delay Nonlinear Systems

Tang Jun(),Wu Ailong^*()

College of Mathematics and Statistics, Hubei Normal University, Hubei Huangshi 435000

Received:2023-11-13 Revised:2024-04-16 Online:2024-12-26 Published:2024-11-22
Supported by:
Hubei Outstanding Youth Foundation(2021CFA080)

摘要/Abstract

摘要：

该文研究具有外部干扰和不确定性的随机时变时滞微分非线性系统的稳定问题. 为了降低反馈控制信号的传输频率, 同时排除 Zeno 行为, 采用间歇事件触发控制策略. 应用实际输入到状态稳定性来描述事件触发方案下控制目标的动态性能. 此外, 通过线性矩阵不等式的方法, 获得事件触发反馈控制下随机时变时滞非线性系统稳定的理论判据, 最后通过几个算例和仿真说明结论的有效性.

关键词: 事件触发控制, 实际输入到状态稳定, 时变时滞, 随机系统

Abstract:

In this paper, the stability problem of stochastic time-varying delay differential nonlinear systems with external disturbances and uncertainties is discussed. In order to reduce the transmission frequency of the feedback control signal, the intermittent event triggering control strategy is adopted, and Zeno behavior is excluded. The practically input-to-state stability is used to describe the dynamic performance of control targets in event-triggered schemes. In addition, by means of linear matrix inequalities, theoretical criteria for stability of stochastic time-varying delay nonlinear systems with event-triggered feedback control are obtained. Finally, several examples and simulations are given to illustrate the validity of the results.

Key words: Event-trigger control, Practically input-to-state stability, Time-varying delay, Stochastic system

中图分类号:

O231.2

唐俊, 吴爱龙. 一类随机时滞非线性系统的事件触发控制[J]. 数学物理学报, 2024, 44(6): 1607-1616.

Tang Jun, Wu Ailong. Event-Triggered Control for a Class of Stochastic Time-Delay Nonlinear Systems[J]. Acta mathematica scientia,Series A, 2024, 44(6): 1607-1616.

图/表 5

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