{"title":"继电器反馈系统中的滑动轨道及其分岔","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":"{\"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}","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}
Sliding orbits and their bifurcations in relay feedback systems
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.
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