{"title":"Output feedback finite-time boundary control for an unstable heat PDE with spatially varying coefficients","authors":"Najmeh Ghaderi, Hamed Mojallali","doi":"10.1002/rnc.7573","DOIUrl":null,"url":null,"abstract":"<p>This article studies the output feedback finite-time boundary control for unstable heat systems with the spatially varying coefficient. First, a finite-time observer with switched gains under a state-dependent switching law is designed in order to estimate the states of the system in a finite-time only exerting one displacement boundary measurement. Next, an observer-based linear finite-time control is planned. Namely, a linear switched control under a state-dependent switching law is proposed to vanish every solution of an unstable heat partial differential equation with spatially varying coefficients in a finite time. We also present explicit forms for the proposed observer gains and output feedback finite-time controller. Finally, some numerical simulations are provided to confirm the theoretical results.</p>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"34 17","pages":"11351-11376"},"PeriodicalIF":3.2000,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7573","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
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Abstract
This article studies the output feedback finite-time boundary control for unstable heat systems with the spatially varying coefficient. First, a finite-time observer with switched gains under a state-dependent switching law is designed in order to estimate the states of the system in a finite-time only exerting one displacement boundary measurement. Next, an observer-based linear finite-time control is planned. Namely, a linear switched control under a state-dependent switching law is proposed to vanish every solution of an unstable heat partial differential equation with spatially varying coefficients in a finite time. We also present explicit forms for the proposed observer gains and output feedback finite-time controller. Finally, some numerical simulations are provided to confirm the theoretical results.
期刊介绍：
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.
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