有界控制下的ISS和积分ISS干扰衰减

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304) Pub Date : 1999-12-07 DOI:10.1109/CDC.1999.831303

D. Liberzon

{"title":"有界控制下的ISS和积分ISS干扰衰减","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":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"48","resultStr":"{\"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\":\"28 1\",\"pages\":\"0\"},\"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}","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

摘要

研究了具有有界控制的非线性系统在输入到状态稳定性(ISS)和积分ISS意义下的扰动衰减问题。对于ISS的情况，我们推导出一个“通用”公式，将Lin和Sontag(1991)的早期结果扩展到具有扰动的系统。对于积分- iss情况，我们给出了两种结构，一种是平滑控制律，另一种是切换控制律。本文还简要讨论了切换和混合系统的输入-状态稳定性问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

ISS and integral-ISS disturbance attenuation with bounded controls

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)

自引率

0.00%

发文量