Event-Triggered Control for Stabilization of Semilinear N-D Reaction-Convection-Diffusion PDE by Switching

IF 3.2 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS
Wen Kang, Emilia Fridman, Jing Zhang, Jun-Min Wang
{"title":"Event-Triggered Control for Stabilization of Semilinear N-D Reaction-Convection-Diffusion PDE by Switching","authors":"Wen Kang,&nbsp;Emilia Fridman,&nbsp;Jing Zhang,&nbsp;Jun-Min Wang","doi":"10.1002/rnc.7737","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>This paper addresses a switched sampled-data control design for stabilization of the N-dimensional (N-D) semilinear heat equation with a mobile actuator. It is supposed that discrete-time averaged measurements are available. The system is known to be stabilizable by the static output-feedback employing several distributed in space actuators and sensors, but is not stabilizable by only one of the actuator-sensor pairs. Does there exist a switching stabilizing static output-feedback such that at all times, only one actuator-sensor pair is active? In our recent paper we gave a positive answer and found the appropriate switching sampled-data time-triggered control law for the one-dimensional (1-D) case. In this paper, to enlarge the time between switching (which means to reduce the frequency of actuator moving to the active domain), we present an event-triggered control for stabilization by switching. Moreover, we extend the results for stabilization by switching to the N-D case. Numerical examples show that the switching-based event-triggered controller essentially decreases the frequency of the actuator moving compared to the time-triggered controller, reducing operating costs.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 4","pages":"1513-1525"},"PeriodicalIF":3.2000,"publicationDate":"2024-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7737","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0

Abstract

This paper addresses a switched sampled-data control design for stabilization of the N-dimensional (N-D) semilinear heat equation with a mobile actuator. It is supposed that discrete-time averaged measurements are available. The system is known to be stabilizable by the static output-feedback employing several distributed in space actuators and sensors, but is not stabilizable by only one of the actuator-sensor pairs. Does there exist a switching stabilizing static output-feedback such that at all times, only one actuator-sensor pair is active? In our recent paper we gave a positive answer and found the appropriate switching sampled-data time-triggered control law for the one-dimensional (1-D) case. In this paper, to enlarge the time between switching (which means to reduce the frequency of actuator moving to the active domain), we present an event-triggered control for stabilization by switching. Moreover, we extend the results for stabilization by switching to the N-D case. Numerical examples show that the switching-based event-triggered controller essentially decreases the frequency of the actuator moving compared to the time-triggered controller, reducing operating costs.

半线性N-D反应-对流-扩散PDE切换稳定化的事件触发控制
本文讨论了一种用于稳定带有移动驱动器的n维(N-D)半线性热方程的切换采样数据控制设计。假定离散时间平均测量是可用的。已知该系统可通过采用多个分布在空间中的致动器和传感器的静态输出反馈实现稳定,但仅通过一个致动器-传感器对无法实现稳定。是否存在一个开关稳定静态输出反馈,使得在任何时候,只有一个执行器-传感器对是活动的?在我们最近的论文中,我们给出了一个肯定的答案,并找到了一维(1-D)情况下适当的切换采样数据时间触发控制律。在本文中,为了扩大开关之间的时间(这意味着减少执行器移动到有源域的频率),我们提出了一种事件触发控制的开关稳定化。此外,通过切换到N-D情况,我们扩展了稳定性的结果。数值算例表明,与时间触发控制器相比,基于开关的事件触发控制器本质上降低了执行器的运动频率,降低了运行成本。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
International Journal of Robust and Nonlinear Control
International Journal of Robust and Nonlinear Control 工程技术-工程:电子与电气
CiteScore
6.70
自引率
20.50%
发文量
505
审稿时长
2.7 months
期刊介绍: Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信