{"title":"Sliding orbits and their bifurcations in relay feedback systems","authors":"M. di Bernardo, K. Johansson, F. Vasca","doi":"10.1109/CDC.1999.832871","DOIUrl":null,"url":null,"abstract":"This paper deals with the analysis of periodic solutions and their bifurcations in relay feedback systems. The occurrence of periodic solutions characterised by sliding sections is outlined and a particular case is taken in studying the bifurcation leading to their formation. Discrete-time mappings are introduced and used to characterise the regions of existence and stability of various periodic orbits. Also, bifurcations of sliding orbits into more complex solutions such as multi-sliding orbits are investigated.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"170 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.832871","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17
Abstract
This paper deals with the analysis of periodic solutions and their bifurcations in relay feedback systems. The occurrence of periodic solutions characterised by sliding sections is outlined and a particular case is taken in studying the bifurcation leading to their formation. Discrete-time mappings are introduced and used to characterise the regions of existence and stability of various periodic orbits. Also, bifurcations of sliding orbits into more complex solutions such as multi-sliding orbits are investigated.