{"title":"时变高增益观测器定时半全局输出反馈镇定","authors":"Shun-Li Li , Bin Zhou , Guangren Duan , Kai Zhang","doi":"10.1016/j.automatica.2025.112454","DOIUrl":null,"url":null,"abstract":"<div><div>A time-varying high-gain observer is constructed to achieve prescribed-time semi-global output feedback stabilization for time-varying nonlinear systems in the normal form. Any bounded conditions or global growth conditions are not imposed on the nonlinear model functions. This observer operates as a prescribed-time observer, with its gain matrix incorporating a product of a time-invariant gain matrix adjusted by a scalar parameter and a time-varying gain matrix derived from the parametric Lyapunov equation. The observer-based output feedback effectively recovers the performance of the preliminary state feedback, including both the prescribed time convergence and the region of attraction (containing any prescribed compact sets).</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112454"},"PeriodicalIF":4.8000,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prescribed-time semi-global output feedback stabilization by a time-varying high-gain observer\",\"authors\":\"Shun-Li Li , Bin Zhou , Guangren Duan , Kai Zhang\",\"doi\":\"10.1016/j.automatica.2025.112454\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>A time-varying high-gain observer is constructed to achieve prescribed-time semi-global output feedback stabilization for time-varying nonlinear systems in the normal form. Any bounded conditions or global growth conditions are not imposed on the nonlinear model functions. This observer operates as a prescribed-time observer, with its gain matrix incorporating a product of a time-invariant gain matrix adjusted by a scalar parameter and a time-varying gain matrix derived from the parametric Lyapunov equation. The observer-based output feedback effectively recovers the performance of the preliminary state feedback, including both the prescribed time convergence and the region of attraction (containing any prescribed compact sets).</div></div>\",\"PeriodicalId\":55413,\"journal\":{\"name\":\"Automatica\",\"volume\":\"179 \",\"pages\":\"Article 112454\"},\"PeriodicalIF\":4.8000,\"publicationDate\":\"2025-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Automatica\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0005109825003486\",\"RegionNum\":2,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automatica","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0005109825003486","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Prescribed-time semi-global output feedback stabilization by a time-varying high-gain observer
A time-varying high-gain observer is constructed to achieve prescribed-time semi-global output feedback stabilization for time-varying nonlinear systems in the normal form. Any bounded conditions or global growth conditions are not imposed on the nonlinear model functions. This observer operates as a prescribed-time observer, with its gain matrix incorporating a product of a time-invariant gain matrix adjusted by a scalar parameter and a time-varying gain matrix derived from the parametric Lyapunov equation. The observer-based output feedback effectively recovers the performance of the preliminary state feedback, including both the prescribed time convergence and the region of attraction (containing any prescribed compact sets).
期刊介绍:
Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field.
After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience.
Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.