有向相互依存网络的事件驱动异质一致性

doi:10.12341/jssms20280

系统科学与数学 ›› 2022, Vol. 42 ›› Issue (11): 2886-2901.DOI: 10.12341/jssms20280

• • 上一篇

有向相互依存网络的事件驱动异质一致性

陈佳博^1,2, 涂俐兰^1,2, 杨永^1,2, 张青^1,2

1. 武汉科技大学冶金工业过程系统科学湖北省重点实验室, 武汉 430065;
2. 武汉科技大学理学院, 武汉 430065

收稿日期:2020-07-20 修回日期:2022-03-01 发布日期:2022-12-13
通讯作者: 涂俐兰, Email: tulilan@wust.edu.cn
作者简介:陈佳博(1996-), 男, 硕士研究生.Tel: 18986264730. E-mail: chenjiabo@wust.edu.cn
基金资助:
国家自然科学基金 (72031009), 冶金工业过程系统科学湖北省重点实验室开放基金(Z201902)资助课题.

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陈佳博, 涂俐兰, 杨永, 张青. 有向相互依存网络的事件驱动异质一致性[J]. 系统科学与数学, 2022, 42(11): 2886-2901.

CHEN Jiabo, TU Lilan, YANG Yong, ZHANG Qing. Event-Triggered Heterogeneous Consensus of Directed Interdependent Networks[J]. Journal of Systems Science and Mathematical Sciences, 2022, 42(11): 2886-2901.

Event-Triggered Heterogeneous Consensus of Directed Interdependent Networks

CHEN Jiabo^1,2, TU Lilan^1,2, YANG Yong^1,2, ZHANG Qing^1,2

1. Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430065;
2. College of Science, Wuhan University of Science and Technology, Wuhan

Received:2020-07-20 Revised:2022-03-01 Published:2022-12-13

基于事件驱动控制技术,文章研究了有向相互依存网络的异质一致性问题.文章分别考虑了两种由两个子网络构成的网络:一是子网内部节点间无耦合关系;二是子网内部节点间有耦合关系.根据Lyapunov稳定性理论, 文章设计了一种事件驱动控制协议, 设定了事件驱动阈值,减少了控制器更新次数,实现了两种有向相互依存网络渐近异质一致于子网络的孤立节点系统的平衡点,并且还分析了网络的事件驱动控制过程中不存在Zeno现象.数值模拟表明:1)文章提出的控制方案能快速让网络的各个节点和平衡点达到渐近一致;2)子网内部的耦合关系能提高网络的控制效果,更能节约控制时间和控制能量.

关键词： 相互依存网络, 事件驱动控制, Lyapunov稳定性理论, 一致性

Based on event-triggered control technology, in this paper, the heterogeneous consensus of directed interdependent networks is investigated. Furthermore, two types of networks consisting of two subnets are considered. One is that there is no intra-coupling relationship between any two nodes in the subnets, and the other is that there are coupling relationships between any two nodes in the subnets. According to Lyapunov stability theory, an event-triggered control protocol is designed in this paper, as well as the event-triggered threshold, which will decrease the updating number of the controllers and guarantee the asymptotic heterogeneous consensus between the two directed interdependent networks and the equilibrium points of the isolated node systems of the two subnets. Furthermore, we analyze that there is no Zeno phenomenon during the network event-driven control process. Numerical simulations show that: 1) The control scheme proposed in this paper can quickly make the nodes of the network and the equilibrium points of the isolated node systems consistent; 2) The coupling relationships in the subnets can improve the control effect of the network and save the control time and the control energy.

Key words: Interdependent networks, event-triggered control, Lyapunov stability theory, consensus

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