{"title":"单周期跟踪的非线性动力学","authors":"Siming Zhao, T. Kalmár-Nagy","doi":"10.1109/ISIC.2008.4635965","DOIUrl":null,"url":null,"abstract":"We propose a smooth uni-cyclic pursuit control law in order to avoid controller discontinuity. The local stability of all the equilibria are characterized. Global bifurcation analysis of three different cases are carried out based on phase portraits of a 2-dimensional system. Numerics agree well with the theoretical results.","PeriodicalId":342070,"journal":{"name":"2008 IEEE International Symposium on Intelligent Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Nonlinear dynamics of uni-cyclic pursuit\",\"authors\":\"Siming Zhao, T. Kalmár-Nagy\",\"doi\":\"10.1109/ISIC.2008.4635965\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We propose a smooth uni-cyclic pursuit control law in order to avoid controller discontinuity. The local stability of all the equilibria are characterized. Global bifurcation analysis of three different cases are carried out based on phase portraits of a 2-dimensional system. Numerics agree well with the theoretical results.\",\"PeriodicalId\":342070,\"journal\":{\"name\":\"2008 IEEE International Symposium on Intelligent Control\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 IEEE International Symposium on Intelligent Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISIC.2008.4635965\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 IEEE International Symposium on Intelligent Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISIC.2008.4635965","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We propose a smooth uni-cyclic pursuit control law in order to avoid controller discontinuity. The local stability of all the equilibria are characterized. Global bifurcation analysis of three different cases are carried out based on phase portraits of a 2-dimensional system. Numerics agree well with the theoretical results.
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