Publikation:

Output-Based Receding Horizon Stabilizing Control for Linear Parabolic Equations

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2025

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Rodrigues, Sérgio S.

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https://doi.org/10.1007/s10957-025-02628-1
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Journal of Optimization Theory and Applications. Springer. 2025, 205, 5. ISSN 0022-3239. eISSN 1573-2878. Verfügbar unter: doi: 10.1007/s10957-025-02628-1

Zusammenfassung

A receding horizon control framework is coupled with a Luenberger observer to construct an output-based control input stabilizing parabolic equations. The actuators and sensors are indicator functions of small subdomains, representing localized actuation and localized measurements. It is shown that, for a class of explicitly given sets of actuators and sensors, we can guarantee the stabilizing property of the constructed input. Results of numerical simulations are presented validating the theoretical findings.

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510 Mathematik

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ISO 690AZMI, Behzad, Sérgio S. RODRIGUES, 2025. Output-Based Receding Horizon Stabilizing Control for Linear Parabolic Equations. In: Journal of Optimization Theory and Applications. Springer. 2025, 205, 5. ISSN 0022-3239. eISSN 1573-2878. Verfügbar unter: doi: 10.1007/s10957-025-02628-1
BibTex
@article{Azmi2025-04Outpu-72410,
  title={Output-Based Receding Horizon Stabilizing Control for Linear Parabolic Equations},
  year={2025},
  doi={10.1007/s10957-025-02628-1},
  volume={205},
  issn={0022-3239},
  journal={Journal of Optimization Theory and Applications},
  author={Azmi, Behzad and Rodrigues, Sérgio S.},
  note={Article Number: 5}
}
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