{"title":"超扭转算法的充分必要稳定性判据","authors":"Richard Seeber, M. Horn","doi":"10.1109/VSS.2018.8460445","DOIUrl":null,"url":null,"abstract":"The super-twisting algorithm is a second-order sliding mode algorithm that is commonly used for robust control and observation. Existing conditions guaranteeing its finite-time stability are either only sufficient or have to be checked by means of trajectories obtained from a numerical simulation. This contribution presents an analytic stability criterion for the super-twisting algorithm that is necessary and sufficient.","PeriodicalId":127777,"journal":{"name":"2018 15th International Workshop on Variable Structure Systems (VSS)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Necessary and sufficient stability criterion for the super-twisting algorithm\",\"authors\":\"Richard Seeber, M. Horn\",\"doi\":\"10.1109/VSS.2018.8460445\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The super-twisting algorithm is a second-order sliding mode algorithm that is commonly used for robust control and observation. Existing conditions guaranteeing its finite-time stability are either only sufficient or have to be checked by means of trajectories obtained from a numerical simulation. This contribution presents an analytic stability criterion for the super-twisting algorithm that is necessary and sufficient.\",\"PeriodicalId\":127777,\"journal\":{\"name\":\"2018 15th International Workshop on Variable Structure Systems (VSS)\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 15th International Workshop on Variable Structure Systems (VSS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/VSS.2018.8460445\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 15th International Workshop on Variable Structure Systems (VSS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/VSS.2018.8460445","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Necessary and sufficient stability criterion for the super-twisting algorithm
The super-twisting algorithm is a second-order sliding mode algorithm that is commonly used for robust control and observation. Existing conditions guaranteeing its finite-time stability are either only sufficient or have to be checked by means of trajectories obtained from a numerical simulation. This contribution presents an analytic stability criterion for the super-twisting algorithm that is necessary and sufficient.
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