具有边界值依赖传播速度的波微分方程/非线性微分方程级联系统的预测控制

IF 0.9 4区计算机科学 Q4 COMPUTER SCIENCE, CYBERNETICS Kybernetika Pub Date : 2022-09-11 DOI:10.14736/kyb-2022-3-0400

Xiushan Cai, Yuhang Lin, Junfeng Zhang, Cong Lin

{"title":"具有边界值依赖传播速度的波微分方程/非线性微分方程级联系统的预测控制","authors":"Xiushan Cai, Yuhang Lin, Junfeng Zhang, Cong Lin","doi":"10.14736/kyb-2022-3-0400","DOIUrl":null,"url":null,"abstract":"This paper investigates predictor control for wave partial diﬀerential equation (PDE) and nonlinear ordinary diﬀerential equation (ODE) cascaded system with boundary value-dependent propagation speed. A predictor control is designed ﬁrst. A two-step backstepping transformation and a new time variable are employed to derive a target system whose stability is established using Lyapunov arguments. The equivalence between stability of the target and the original system is provided using the invertibility of the backstepping transformations. Stability of the closed-loop system is established by Lyapunov","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2022-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Predictor control for wave PDE/nonlinear ODE cascaded system with boundary value-dependent propagation speed\",\"authors\":\"Xiushan Cai, Yuhang Lin, Junfeng Zhang, Cong Lin\",\"doi\":\"10.14736/kyb-2022-3-0400\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper investigates predictor control for wave partial diﬀerential equation (PDE) and nonlinear ordinary diﬀerential equation (ODE) cascaded system with boundary value-dependent propagation speed. A predictor control is designed ﬁrst. A two-step backstepping transformation and a new time variable are employed to derive a target system whose stability is established using Lyapunov arguments. The equivalence between stability of the target and the original system is provided using the invertibility of the backstepping transformations. Stability of the closed-loop system is established by Lyapunov\",\"PeriodicalId\":49928,\"journal\":{\"name\":\"Kybernetika\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kybernetika\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.14736/kyb-2022-3-0400\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, CYBERNETICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kybernetika","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.14736/kyb-2022-3-0400","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, CYBERNETICS","Score":null,"Total":0}

引用次数: 0

摘要

研究了具有边值依赖传播速度的波动型偏微分方程(PDE)和非线性常微分方程(ODE)级联系统的预测控制问题。首先设计了预测器控制。利用两步回溯变换和一个新的时间变量，导出了一个用李雅普诺夫参数建立稳定性的目标系统。利用反演变换的可逆性，给出了目标系统稳定性与原系统稳定性的等价性。由李亚普诺夫建立了闭环系统的稳定性

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Predictor control for wave PDE/nonlinear ODE cascaded system with boundary value-dependent propagation speed

This paper investigates predictor control for wave partial diﬀerential equation (PDE) and nonlinear ordinary diﬀerential equation (ODE) cascaded system with boundary value-dependent propagation speed. A predictor control is designed ﬁrst. A two-step backstepping transformation and a new time variable are employed to derive a target system whose stability is established using Lyapunov arguments. The equivalence between stability of the target and the original system is provided using the invertibility of the backstepping transformations. Stability of the closed-loop system is established by Lyapunov

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Kybernetika 工程技术-计算机：控制论

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Kybernetika is the bi-monthly international journal dedicated for rapid publication of high-quality, peer-reviewed research articles in fields covered by its title. The journal is published by Nakladatelství Academia, Centre of Administration and Operations of the Czech Academy of Sciences for the Institute of Information Theory and Automation of The Czech Academy of Sciences. Kybernetika traditionally publishes research results in the fields of Control Sciences, Information Sciences, Statistical Decision Making, Applied Probability Theory, Random Processes, Operations Research, Fuzziness and Uncertainty Theories, as well as in the topics closely related to the above fields.