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Backstepping Design of Dynamic State Feedback Controllers for Parabolic Systems — arXiv:2609.17293

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.17293
License (as archived): CC0-1.0
Archived: 2026-10-15T20:46:02.199Z
SHA-256 of the archived text: 29cac51861eb5c79d98e346645836e807f9895e968f3b388aeefd7d2d279dd62
Stable URL of this page: https://metraipolis.com/documento/dc_58623463436a

How to cite

Backstepping Design of Dynamic State Feedback Controllers for Parabolic Systems — arXiv:2609.17293 — arXiv (en), https://arxiv.org/abs/2609.17293 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_58623463436a (Metraipolis archive dc_58623463436a, sha256 29cac51861eb5c79d98e346645836e807f9895e968f3b388aeefd7d2d279dd62)

BibTeX

@misc{dc58623463436a,
  title = {Backstepping Design of Dynamic State Feedback Controllers for Parabolic Systems — arXiv:2609.17293},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.17293},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_58623463436a; sha256 29cac51861eb5c79d98e346645836e807f9895e968f3b388aeefd7d2d279dd62},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.17293. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Recently, dynamic state feedback controllers that are based on dynamic extensions have been presented for heterodirectional hyperbolic systems. In this paper, a similar concept for the control of coupled diffusion-reaction systems is suggested. The introduction of a specific controller dynamics leads to homogenized diffusion coefficients for the extended system. Then, a backstepping-based static state feedback for the dynamically extended system is designed, which, overall, results in a dynamic state feedback. Such a design allows stabilizing a more general class of parabolic systems as well as assigning arbitrary closed-loop dynamics. This can be used, e.g., to achieve a decoupled input-output behavior, which is, in general, not possible with a static state feedback. A simulation example illustrates the results.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-16 in math.OC).
Categorie arXiv: Systems and Control (eess.SY) ; Optimization and Control (math.OC).
Pagina del lavoro: https://arxiv.org/abs/2609.17293 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-15T19:36:35.872Z dalla pagina https://arxiv.org/catchup/math.OC/2026-09-16?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).