Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE

Alla, Alessandro; Volkwein, Stefan

Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE

Dateien

Volkwein_253400.pdfGröße: 3.22 MBDownloads: 266

Datum

2013

Autor:innen

Alla, Alessandro

Volkwein, Stefan

URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-253400

Link zur Lizenz

Urheberrechtlich geschützt

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

In this article a stabilizing feedback control is computed for a semilinear parabolic partial differential equation utilizing a nonlinear model predictive (NMPC) method. In each level of the NMPC algorithm the finite time horizon open loop problem is solved by a reduced-order strategy based on proper orthogonal decomposition (POD). A stability analysis is derived for the combined POD-NMPC algorithm so that the lengths of the finite time horizons are chosen in order to ensure the asymptotic stability of the computed feedback controls. The proposed method is successfully tested by numerical examples.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

ALLA, Alessandro, Stefan VOLKWEIN, 2013. Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE

BibTex

@unpublished{Alla2013Asymp-25340,
  year={2013},
  title={Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE},
  author={Alla, Alessandro and Volkwein, Stefan}
}

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Universitätsbibliographie

Ja