{"title":"具有不匹配非线性项的非线性系统的规定时间状态反馈稳定化","authors":"H. Min, Zhicheng Wei","doi":"10.1177/01423312241228782","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the state-feedback control for nonlinear systems with a prescribed upper bound of the settling time. First, a prescribed-time stability theorem using Lyapunov analysis and a uniformly bounded scaling function is proposed. Then, based on this theorem and the backstepping technique, a finite-time control procedure is provided for the uncertain nonlinear systems with unmatched nonlinear terms. Based on the design procedure, a state-feedback controller is obtained, which can render the system states exactly convergent to zero in a prescribed time and maintain at zero thereafter. Finally, simulation examples are used to demonstrate the effectiveness of the proposed scheme.","PeriodicalId":507087,"journal":{"name":"Transactions of the Institute of Measurement and Control","volume":"33 12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prescribed-time state-feedback stabilization of nonlinear systems with unmatched nonlinear terms\",\"authors\":\"H. Min, Zhicheng Wei\",\"doi\":\"10.1177/01423312241228782\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the state-feedback control for nonlinear systems with a prescribed upper bound of the settling time. First, a prescribed-time stability theorem using Lyapunov analysis and a uniformly bounded scaling function is proposed. Then, based on this theorem and the backstepping technique, a finite-time control procedure is provided for the uncertain nonlinear systems with unmatched nonlinear terms. Based on the design procedure, a state-feedback controller is obtained, which can render the system states exactly convergent to zero in a prescribed time and maintain at zero thereafter. Finally, simulation examples are used to demonstrate the effectiveness of the proposed scheme.\",\"PeriodicalId\":507087,\"journal\":{\"name\":\"Transactions of the Institute of Measurement and Control\",\"volume\":\"33 12\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions of the Institute of Measurement and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1177/01423312241228782\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of the Institute of Measurement and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/01423312241228782","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Prescribed-time state-feedback stabilization of nonlinear systems with unmatched nonlinear terms
In this paper, we investigate the state-feedback control for nonlinear systems with a prescribed upper bound of the settling time. First, a prescribed-time stability theorem using Lyapunov analysis and a uniformly bounded scaling function is proposed. Then, based on this theorem and the backstepping technique, a finite-time control procedure is provided for the uncertain nonlinear systems with unmatched nonlinear terms. Based on the design procedure, a state-feedback controller is obtained, which can render the system states exactly convergent to zero in a prescribed time and maintain at zero thereafter. Finally, simulation examples are used to demonstrate the effectiveness of the proposed scheme.