{"title":"ISS and integral-ISS disturbance attenuation with bounded controls","authors":"D. Liberzon","doi":"10.1109/CDC.1999.831303","DOIUrl":null,"url":null,"abstract":"We consider the problem of achieving disturbance attenuation in the input-to-state stability (ISS) and integral-ISS sense for nonlinear systems with bounded controls. For the ISS case we derive a \"universal\" formula which extends an earlier result of Lin and Sontag (1991) to systems with disturbances. For the integral-ISS case we give two constructions, one resulting in a smooth control law and the other in a switching control law. We also briefly discuss some issues related to input-to-state stability of switched and hybrid systems.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"48","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.1999.831303","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 48
Abstract
We consider the problem of achieving disturbance attenuation in the input-to-state stability (ISS) and integral-ISS sense for nonlinear systems with bounded controls. For the ISS case we derive a "universal" formula which extends an earlier result of Lin and Sontag (1991) to systems with disturbances. For the integral-ISS case we give two constructions, one resulting in a smooth control law and the other in a switching control law. We also briefly discuss some issues related to input-to-state stability of switched and hybrid systems.
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