{"title":"Fixed-time stabilization with dead-zone optimization","authors":"Jiawei Song , Zongyu Zuo , Michael Basin","doi":"10.1016/j.sysconle.2024.105835","DOIUrl":null,"url":null,"abstract":"<div><p>This paper introduces a novel dead-zone optimization technique for regulating the initial control input in a flexible manner. Both completely dead-zone optimized and partially dead-zone optimized versions of the conventional fixed-time convergent controller are developed for a single-integrator system. Furthermore, based on the same idea, the dead-zone optimization of a newly proposed nonsingular continuous fixed-time convergent controller is proposed for a double-integrator system. Finally, simulation results are provided to show efficacy of the dead-zone optimized controllers.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"189 ","pages":"Article 105835"},"PeriodicalIF":2.1000,"publicationDate":"2024-05-28","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/S0167691124001233","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}
引用次数: 0
Abstract
This paper introduces a novel dead-zone optimization technique for regulating the initial control input in a flexible manner. Both completely dead-zone optimized and partially dead-zone optimized versions of the conventional fixed-time convergent controller are developed for a single-integrator system. Furthermore, based on the same idea, the dead-zone optimization of a newly proposed nonsingular continuous fixed-time convergent controller is proposed for a double-integrator system. Finally, simulation results are provided to show efficacy of the dead-zone optimized controllers.
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.