{"title":"Finite-Time Incremental Passivity of Switched Nonlinear Systems and Its Application","authors":"Hongbo Pang, Chenyu Xu","doi":"10.1002/rnc.8053","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>This article focuses on the finite-time incremental passivity of switched nonlinear systems and its application to the output tracking control. First, a new definition of finite-time incremental passivity definition is given for switched nonlinear systems. Compared with the existing definition, the growth of energy may happen at switching times and during active time interval, while at least an active subsystem is finite-time incrementally passive on its active time interval. Second, a sufficient condition of finite-time incremental passivity is provided. Based on this condition, a design method of a switching law dependent on state information is proposed. It is generalization of ‘min’İ switching law. Third, it is verified that the output can track the reference signal in finite time by output feedback, even if only an active subsystem is finite-time incrementally passive. Finally, the validity of the developed theoretical results is verified by two examples.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 15","pages":"6230-6241"},"PeriodicalIF":3.2000,"publicationDate":"2025-05-20","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.8053","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 article focuses on the finite-time incremental passivity of switched nonlinear systems and its application to the output tracking control. First, a new definition of finite-time incremental passivity definition is given for switched nonlinear systems. Compared with the existing definition, the growth of energy may happen at switching times and during active time interval, while at least an active subsystem is finite-time incrementally passive on its active time interval. Second, a sufficient condition of finite-time incremental passivity is provided. Based on this condition, a design method of a switching law dependent on state information is proposed. It is generalization of ‘min’İ switching law. Third, it is verified that the output can track the reference signal in finite time by output feedback, even if only an active subsystem is finite-time incrementally passive. Finally, the validity of the developed theoretical results is verified by two examples.
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.
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