具有随机延迟的网络半马尔可夫跳变系统的鲁棒控制策略

IF 3.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

International Journal of Robust and Nonlinear Control Pub Date : 2025-02-06 DOI:10.1002/rnc.7855

Li Qiu, Jie Teng, Runjie Chen, Baixi He

{"title":"具有随机延迟的网络半马尔可夫跳变系统的鲁棒控制策略","authors":"Li Qiu, Jie Teng, Runjie Chen, Baixi He","doi":"10.1002/rnc.7855","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>A robust controller design method for networked control systems experiencing random delays, external disturbances, and random switching of subsystems is proposed. The random delays and subsystem switching process are simulated by using Markov and semi-Markov chains, respectively. Considering various complex factors that affect system performance, a model of a networked semi-Markov jump system (NSMJS) is established. In order to obtain system stability conditions and improve system disturbance resistance, a Lyapunov-Krasovskii functional is constructed by combining semi-Markov jump theory. The mean-square stability criterion and robust stabilization criterion for the NSMJS are proposed. The effectiveness of the proposed control method is validated through numerical simulations.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 9","pages":"3448-3459"},"PeriodicalIF":3.2000,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Robust Control Strategy for Networked Semi-Markov Jump System With Random Delay\",\"authors\":\"Li Qiu, Jie Teng, Runjie Chen, Baixi He\",\"doi\":\"10.1002/rnc.7855\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>A robust controller design method for networked control systems experiencing random delays, external disturbances, and random switching of subsystems is proposed. The random delays and subsystem switching process are simulated by using Markov and semi-Markov chains, respectively. Considering various complex factors that affect system performance, a model of a networked semi-Markov jump system (NSMJS) is established. In order to obtain system stability conditions and improve system disturbance resistance, a Lyapunov-Krasovskii functional is constructed by combining semi-Markov jump theory. The mean-square stability criterion and robust stabilization criterion for the NSMJS are proposed. The effectiveness of the proposed control method is validated through numerical simulations.</p>\\n </div>\",\"PeriodicalId\":50291,\"journal\":{\"name\":\"International Journal of Robust and Nonlinear Control\",\"volume\":\"35 9\",\"pages\":\"3448-3459\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2025-02-06\",\"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.7855\",\"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}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7855","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

摘要

针对存在随机时延、外部干扰和子系统随机切换的网络控制系统，提出了一种鲁棒控制器设计方法。利用马尔可夫链和半马尔可夫链分别模拟了系统的随机时延和子系统切换过程。考虑影响系统性能的各种复杂因素，建立了网络半马尔可夫跳变系统的模型。为了获得系统稳定条件，提高系统抗扰能力，结合半马尔可夫跳变理论构造了Lyapunov-Krasovskii泛函。提出了NSMJS的均方稳定判据和鲁棒稳定判据。通过数值仿真验证了所提控制方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Robust Control Strategy for Networked Semi-Markov Jump System With Random Delay

A robust controller design method for networked control systems experiencing random delays, external disturbances, and random switching of subsystems is proposed. The random delays and subsystem switching process are simulated by using Markov and semi-Markov chains, respectively. Considering various complex factors that affect system performance, a model of a networked semi-Markov jump system (NSMJS) is established. In order to obtain system stability conditions and improve system disturbance resistance, a Lyapunov-Krasovskii functional is constructed by combining semi-Markov jump theory. The mean-square stability criterion and robust stabilization criterion for the NSMJS are proposed. The effectiveness of the proposed control method is validated through numerical simulations.

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

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.