{"title":"一类单输入控制系统的轨道平坦度","authors":"Shunjie Li, Chao Xu","doi":"10.1109/CHICC.2016.7553187","DOIUrl":null,"url":null,"abstract":"This paper gives necessary and sufficient conditions describing single-input affine systems that are orbital feedback equivalent to the affine Goursat normal form (AGNF). This class of systems are not differential flat, but they are orbitally flat. A complete characterization of all the orbitally flat output for single-input affine systems that are orbitally feedback equivalent to AGNF are derived. Moreover, we analyze a linear controllable system that is orbital feedback equivalent to AGNF on ℝ3 and describe all the possible time re-scaling functions under which the time scaled system remains differential flat.","PeriodicalId":246506,"journal":{"name":"Cybersecurity and Cyberforensics Conference","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Orbital flatness of a class of single-input control systems\",\"authors\":\"Shunjie Li, Chao Xu\",\"doi\":\"10.1109/CHICC.2016.7553187\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper gives necessary and sufficient conditions describing single-input affine systems that are orbital feedback equivalent to the affine Goursat normal form (AGNF). This class of systems are not differential flat, but they are orbitally flat. A complete characterization of all the orbitally flat output for single-input affine systems that are orbitally feedback equivalent to AGNF are derived. Moreover, we analyze a linear controllable system that is orbital feedback equivalent to AGNF on ℝ3 and describe all the possible time re-scaling functions under which the time scaled system remains differential flat.\",\"PeriodicalId\":246506,\"journal\":{\"name\":\"Cybersecurity and Cyberforensics Conference\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-07-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cybersecurity and Cyberforensics Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CHICC.2016.7553187\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cybersecurity and Cyberforensics Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CHICC.2016.7553187","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Orbital flatness of a class of single-input control systems
This paper gives necessary and sufficient conditions describing single-input affine systems that are orbital feedback equivalent to the affine Goursat normal form (AGNF). This class of systems are not differential flat, but they are orbitally flat. A complete characterization of all the orbitally flat output for single-input affine systems that are orbitally feedback equivalent to AGNF are derived. Moreover, we analyze a linear controllable system that is orbital feedback equivalent to AGNF on ℝ3 and describe all the possible time re-scaling functions under which the time scaled system remains differential flat.
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