Saturated Feedback Stabilizability to Trajectories for the Schlögl Parabolic Equation

Azmi, Behzad; Kunisch, Karl; Rodrigues, Sérgio S.

Saturated Feedback Stabilizability to Trajectories for the Schlögl Parabolic Equation

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2023

Autor:innen

Azmi, Behzad

Kunisch, Karl

Rodrigues, Sérgio S.

DOI (zitierfähiger Link)

https://doi.org/10.1109/tac.2023.3247511

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

IEEE Transactions on Automatic Control. Institute of Electrical and Electronics Engineers (IEEE). 2023, 68(12), pp. 7089-7103. ISSN 0018-9286. eISSN 1558-2523. Available under: doi: 10.1109/tac.2023.3247511

Zusammenfassung

In this article, it is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schlögl model, by means of an explicit saturated feedback control input whose magnitude is bounded by a constant independent of the given targeted trajectory. Simulations are presented showing the stabilizing performance of the explicit feedback constrained control. Further, such performance is compared to that of a receding horizon constrained control minimizing the classical energy cost functional.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

AZMI, Behzad, Karl KUNISCH, Sérgio S. RODRIGUES, 2023. Saturated Feedback Stabilizability to Trajectories for the Schlögl Parabolic Equation. In: IEEE Transactions on Automatic Control. Institute of Electrical and Electronics Engineers (IEEE). 2023, 68(12), pp. 7089-7103. ISSN 0018-9286. eISSN 1558-2523. Available under: doi: 10.1109/tac.2023.3247511

BibTex

@article{Azmi2023Satur-69553,
  year={2023},
  doi={10.1109/tac.2023.3247511},
  title={Saturated Feedback Stabilizability to Trajectories for the Schlögl Parabolic Equation},
  number={12},
  volume={68},
  issn={0018-9286},
  journal={IEEE Transactions on Automatic Control},
  pages={7089--7103},
  author={Azmi, Behzad and Kunisch, Karl and Rodrigues, Sérgio S.}
}

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