Centralized event-triggered control of networked heat equation

被引：0
|
作者：
Liu H. [1 ]
Zong X.-J. [2 ]
Zheng J.-T. [1 ]
Xu X.-N. [3 ]
机构：
[1] School of Electrical Engineering, University of Jinan, Shandong, Jinan
[2] School of Information Science and Engineering, University of Jinan, Shandong, Jinan
[3] School of Electrical Engineering, Long Dong University, Gansu, Qingyang
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2023年 / 40卷 / 08期
基金：
中国国家自然科学基金;
关键词：
boundary consistency control; distributed parametric multi-agent system; event-triggered control; Lyapunov function; networked heat equation;
D O I：
10.7641/CTA.2023.20286
中图分类号：
学科分类号：
摘要：
In this paper, a distributed parametric multi-agent system based on the heat equation modeling is studied, and a consistent boundary controller based on the event-triggered control is designed to drive the states of networked heat equation to the same stable state. The boundary information of each subsystem can be measured, and all agents are connected by an undirected static topology. The event-triggered controller consists of the following two parts: one is the boundary local interaction based on the network topology, which drives all subsystems to reach the same state; the second is the trigger moment established by the event trigger condition. In this paper, it is proved that there exists a minimum dwell time between two consecutive triggering moments to avoid the Zeno phenomenon under the the event-triggered boundary consistency control. At the same time, the Lyapunov function is used to analyze and guarantee the stability and well-posedness of the closed-loop system. Finally, a simulation example of a multi-agent system consisting of five heat equations is given, and the results confirm the authenticity of the event-triggered controller designed in this paper. © 2023 South China University of Technology. All rights reserved.
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页码：1401 / 1407
页数：6
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