{"title":"Adaptive event-triggered output feedback control for uncertain parabolic PDEs","authors":"Chunting Ji , Zhengqiang Zhang , Shuzhi Sam Ge","doi":"10.1016/j.automatica.2024.111917","DOIUrl":null,"url":null,"abstract":"<div><p>Motivated by the linearized model of unstable burning in solid propellant rockets, this article addresses the adaptive event-triggered output feedback control of uncertain parabolic PDEs. First, we construct an adaptive identifier that consists of a gradient estimator, and then design a continuous-in-time controller. On this basis, we design a novel event-triggered output feedback controller and construct dynamic triggering conditions to assure the global asymptotic stability of the closed-loop system around the limit points. Furthermore, the parameter estimation is proven to converge to the true value when an additional constant input at the boundary is applied to the closed-loop system. Finally, simulation data verifies the effectiveness of the theoretical analysis.</p></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":null,"pages":null},"PeriodicalIF":4.8000,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0005109824004114/pdfft?md5=dfb5c6d883e559847a8d1f24131d823e&pid=1-s2.0-S0005109824004114-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Automatica","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0005109824004114","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}
引用次数: 0
Abstract
Motivated by the linearized model of unstable burning in solid propellant rockets, this article addresses the adaptive event-triggered output feedback control of uncertain parabolic PDEs. First, we construct an adaptive identifier that consists of a gradient estimator, and then design a continuous-in-time controller. On this basis, we design a novel event-triggered output feedback controller and construct dynamic triggering conditions to assure the global asymptotic stability of the closed-loop system around the limit points. Furthermore, the parameter estimation is proven to converge to the true value when an additional constant input at the boundary is applied to the closed-loop system. Finally, simulation data verifies the effectiveness of the theoretical analysis.
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.