{"title":"输入饱和的无限延迟系统链的截断预测器反馈","authors":"","doi":"10.1016/j.sysconle.2024.105873","DOIUrl":null,"url":null,"abstract":"<div><p>A linear system can be regulated by a control signal through a cascade of integrators, as extensively documented in existing literature. However, such controllers often encounter challenges when each link in this chain is affected by time delays, leading to poor performance or even instability. This paper addresses a particularly challenging scenario wherein each connection experiences infinite delays, and the input signal is subject to saturation. To overcome these issues, we propose a truncated predictor feedback controller via the low-gain design. Semi-global stabilization problem of the considered system is solved with the peak magnitude of the input signal provided. One of the novelties of our work lies in the expanded applicability of truncated predictor feedback, which is applied to a system featuring both state and input delays. This stands in contrast to the majority of existing studies that primarily focus on input delays alone. We support our theoretical framework with a simulation example to illustrate its effectiveness.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1000,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Truncated predictor feedback for a chain of infinite-delayed systems with input saturation\",\"authors\":\"\",\"doi\":\"10.1016/j.sysconle.2024.105873\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A linear system can be regulated by a control signal through a cascade of integrators, as extensively documented in existing literature. However, such controllers often encounter challenges when each link in this chain is affected by time delays, leading to poor performance or even instability. This paper addresses a particularly challenging scenario wherein each connection experiences infinite delays, and the input signal is subject to saturation. To overcome these issues, we propose a truncated predictor feedback controller via the low-gain design. Semi-global stabilization problem of the considered system is solved with the peak magnitude of the input signal provided. One of the novelties of our work lies in the expanded applicability of truncated predictor feedback, which is applied to a system featuring both state and input delays. This stands in contrast to the majority of existing studies that primarily focus on input delays alone. We support our theoretical framework with a simulation example to illustrate its effectiveness.</p></div>\",\"PeriodicalId\":49450,\"journal\":{\"name\":\"Systems & Control Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.1000,\"publicationDate\":\"2024-07-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Systems & Control Letters\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167691124001610\",\"RegionNum\":3,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems & Control Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167691124001610","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Truncated predictor feedback for a chain of infinite-delayed systems with input saturation
A linear system can be regulated by a control signal through a cascade of integrators, as extensively documented in existing literature. However, such controllers often encounter challenges when each link in this chain is affected by time delays, leading to poor performance or even instability. This paper addresses a particularly challenging scenario wherein each connection experiences infinite delays, and the input signal is subject to saturation. To overcome these issues, we propose a truncated predictor feedback controller via the low-gain design. Semi-global stabilization problem of the considered system is solved with the peak magnitude of the input signal provided. One of the novelties of our work lies in the expanded applicability of truncated predictor feedback, which is applied to a system featuring both state and input delays. This stands in contrast to the majority of existing studies that primarily focus on input delays alone. We support our theoretical framework with a simulation example to illustrate its effectiveness.
期刊介绍:
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.