An adaptive linear quadratic tracker design for continuous – time systems with completely unknown dynamics.
Saved in:
| Title: | An adaptive linear quadratic tracker design for continuous – time systems with completely unknown dynamics. |
|---|---|
| Authors: | Mishra, Hari Om Shanker1 (AUTHOR) hari.2021rel05@mnnit.ac.in, Jha, Sumit Kumar1 (AUTHOR), Dhawan, Amit1 (AUTHOR), Tiwari, Manish1 (AUTHOR) |
| Source: | International Journal of Systems Science. Jan2026, Vol. 57 Issue 2, p311-332. 22p. |
| Subjects: | Continuous time systems, Adaptive control systems, Adaptive estimation (Statistics), System dynamics, State feedback (Feedback control systems), Riccati equation |
| Abstract: | The aim of this manuscript is to design an adaptive linear quadratic tracker (LQT) for continuous-time (CT) systems with completely unknown system dynamics. To address these LQT issues, one can utilised a quadratic version of the value function to obtain LQT-Augmented Algebraic Riccati Equation (ARE). We have demonstrated that the value function exhibits quadratic behaviour based on the system state and command generator, and this leads to the LQT Bellman error equation. Gradient-based update rules enable online estimation of the unknown optimum gain parameters. A dynamic state-feed controller can enable continued adaptation and convergence to an optimal controller by utilising input-state data along the trajectory of the system. Utilising an online state derivative estimator helps simplify the process of designing a model-free controller for a completely unknown system. Unlike previous research, we develop the adaptive optimum controller without considering the system dynamics or the initial stabilising strategy. Instead of switching or performing frequent intermittent updates, which may result in stability issues, the controller undergoes continuous changes based on input-state data. A simulation example validates the theoretical contribution of the proposed algorithm, and a Lyapunov-based approach establishes uniform exponential stability of a closed-loop system. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Systems Science is the property of Taylor & Francis Ltd 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 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 190255875 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: An adaptive linear quadratic tracker design for continuous – time systems with completely unknown dynamics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mishra%2C+Hari+Om+Shanker%22">Mishra, Hari Om Shanker</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hari.2021rel05@mnnit.ac.in</i><br /><searchLink fieldCode="AR" term="%22Jha%2C+Sumit+Kumar%22">Jha, Sumit Kumar</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Dhawan%2C+Amit%22">Dhawan, Amit</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tiwari%2C+Manish%22">Tiwari, Manish</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Systems+Science%22">International Journal of Systems Science</searchLink>. Jan2026, Vol. 57 Issue 2, p311-332. 22p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Continuous+time+systems%22">Continuous time systems</searchLink><br /><searchLink fieldCode="DE" term="%22Adaptive+control+systems%22">Adaptive control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Adaptive+estimation+%28Statistics%29%22">Adaptive estimation (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22System+dynamics%22">System dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22State+feedback+%28Feedback+control+systems%29%22">State feedback (Feedback control systems)</searchLink><br /><searchLink fieldCode="DE" term="%22Riccati+equation%22">Riccati equation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The aim of this manuscript is to design an adaptive linear quadratic tracker (LQT) for continuous-time (CT) systems with completely unknown system dynamics. To address these LQT issues, one can utilised a quadratic version of the value function to obtain LQT-Augmented Algebraic Riccati Equation (ARE). We have demonstrated that the value function exhibits quadratic behaviour based on the system state and command generator, and this leads to the LQT Bellman error equation. Gradient-based update rules enable online estimation of the unknown optimum gain parameters. A dynamic state-feed controller can enable continued adaptation and convergence to an optimal controller by utilising input-state data along the trajectory of the system. Utilising an online state derivative estimator helps simplify the process of designing a model-free controller for a completely unknown system. Unlike previous research, we develop the adaptive optimum controller without considering the system dynamics or the initial stabilising strategy. Instead of switching or performing frequent intermittent updates, which may result in stability issues, the controller undergoes continuous changes based on input-state data. A simulation example validates the theoretical contribution of the proposed algorithm, and a Lyapunov-based approach establishes uniform exponential stability of a closed-loop system. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of International Journal of Systems Science is the property of Taylor & Francis Ltd 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=190255875 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/00207721.2025.2503205 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 22 StartPage: 311 Subjects: – SubjectFull: Continuous time systems Type: general – SubjectFull: Adaptive control systems Type: general – SubjectFull: Adaptive estimation (Statistics) Type: general – SubjectFull: System dynamics Type: general – SubjectFull: State feedback (Feedback control systems) Type: general – SubjectFull: Riccati equation Type: general Titles: – TitleFull: An adaptive linear quadratic tracker design for continuous – time systems with completely unknown dynamics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mishra, Hari Om Shanker – PersonEntity: Name: NameFull: Jha, Sumit Kumar – PersonEntity: Name: NameFull: Dhawan, Amit – PersonEntity: Name: NameFull: Tiwari, Manish IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00207721 Numbering: – Type: volume Value: 57 – Type: issue Value: 2 Titles: – TitleFull: International Journal of Systems Science Type: main |
| ResultId | 1 |
