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Distributed Parameter Systems of Source Control

被引：0
|
作者：
Zhou B.-F. [1 ,2 ]
Luo Y.-P. [3 ]
Tang G.-N. [1 ]
机构：
[1] School of Mechanical Engineering, Hunan University of Science and Technology, Xiangtan
[2] Hunan Electrical College of Technology, Xiangtan
[3] College of Electrical Information, Hunan Institute of Engineering, Xiangtan
来源：
Zidonghua Xuebao/Acta Automatica Sinica | 2022年 / 48卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Distributed parameter systems (DPSs); linear matrix inequality (LMI); Lyapunov; source control;
D O I：
10.16383/j.aas.c190612
中图分类号：
学科分类号：
摘要：
The stability problem of distributed parameter systems (DPSs) is investigated. For this purpose, a source controller is developed for such a system. The space is divided into several parts, and each part is considered a node. The source of the node that produces quantitative changes is defined as the source node. The nodes that follow the change of source nodes are defined as the subsequent nodes. On the basis of these definitions, the distributed parameter system model is constructed. The designed controller for the source nodes is the empirical function combined with the feedback adjustment and that for the subsequent nodes considers the diffusion control action of the source nodes. Numerous sufficient conditions with stable source controller for distributed parameter systems are derived using Lyapunovs stability theory and the method of linear matrix inequality (LMI). A numerical simulation illustrates the effectiveness of the method under given conditions. © 2022 Science Press. All rights reserved.
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页码：3062 / 3066
页数：4
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