Performance boundary output tracking for 1-D wave equation with velocity recirculation and known exosystem.
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| Title: | Performance boundary output tracking for 1-D wave equation with velocity recirculation and known exosystem. |
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| Authors: | Huang, Shuangxi1 (AUTHOR) 2024110072@stu.sdnu.edu.cn, Jin, Feng-Fei1 (AUTHOR) jinfengfei@amss.ac.cn |
| Source: | Computers & Mathematics with Applications. Dec2025, Vol. 199, p273-285. 13p. |
| Subjects: | Wave equation, State feedback (Feedback control systems), Dynamical systems |
| Abstract: | In this paper, we study the output tracking of a 1-D wave equation with velocity recirculation. The performance output is the displacement of an intermediate point, with the tracking signal generated by a finite-dimensional exosystem of unknown initial value. We first construct a disturbance estimator and an observer to estimate the disturbance and the states of the system, respectively. Next, we propose a state feedback regulator, which makes the tracking error decay exponentially. Then, in terms of the established observer, we construct an output feedback controller and verify the well-posedness of the closed-loop system. Besides, the performance output efficiently follows the reference signal, demonstrating an exponential tracking behavior. Finally, the outcomes are illustrated by simulations. [ABSTRACT FROM AUTHOR] |
| Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 188880172 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Performance boundary output tracking for 1-D wave equation with velocity recirculation and known exosystem. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Huang%2C+Shuangxi%22">Huang, Shuangxi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 2024110072@stu.sdnu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Jin%2C+Feng-Fei%22">Jin, Feng-Fei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jinfengfei@amss.ac.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computers+%26+Mathematics+with+Applications%22">Computers & Mathematics with Applications</searchLink>. Dec2025, Vol. 199, p273-285. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Wave+equation%22">Wave equation</searchLink><br /><searchLink fieldCode="DE" term="%22State+feedback+%28Feedback+control+systems%29%22">State feedback (Feedback control systems)</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we study the output tracking of a 1-D wave equation with velocity recirculation. The performance output is the displacement of an intermediate point, with the tracking signal generated by a finite-dimensional exosystem of unknown initial value. We first construct a disturbance estimator and an observer to estimate the disturbance and the states of the system, respectively. Next, we propose a state feedback regulator, which makes the tracking error decay exponentially. Then, in terms of the established observer, we construct an output feedback controller and verify the well-posedness of the closed-loop system. Besides, the performance output efficiently follows the reference signal, demonstrating an exponential tracking behavior. Finally, the outcomes are illustrated by simulations. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.camwa.2025.09.037 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 273 Subjects: – SubjectFull: Wave equation Type: general – SubjectFull: State feedback (Feedback control systems) Type: general – SubjectFull: Dynamical systems Type: general Titles: – TitleFull: Performance boundary output tracking for 1-D wave equation with velocity recirculation and known exosystem. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Huang, Shuangxi – PersonEntity: Name: NameFull: Jin, Feng-Fei IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 08981221 Numbering: – Type: volume Value: 199 Titles: – TitleFull: Computers & Mathematics with Applications Type: main |
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