{"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}
引用次数: 16
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.
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