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Distributed and boundary model predictive control for the heat equation

Title data

Altmüller, Nils ; Grüne, Lars:
Distributed and boundary model predictive control for the heat equation.
In: GAMM-Mitteilungen. Vol. 35 (2012) Issue 2 . - pp. 131-145.
ISSN 1522-2608
DOI: https://doi.org/10.1002/gamm.201210010

Abstract in another language

We consider a model predictive control (MPC) scheme without stabilizing terminal constraints applied to the linear heat equation. We apply a method to analyze minimal stabilizing optimization horizons based on an exponential controllability condition. While the method is known to yield conservative quantitative results for concrete examples, our analysis shows that it precisely determines qualitative changes in the horizon for changing parameters and changing problem structures. Particularly, it is able to explain numerically observed differences in the stability behavior of MPC for distributed and for boundary control.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: model predictive control; heat equation; distributed control; boundary control; stability
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Result of work at the UBT: Yes
DDC Subjects: 500 Science
Date Deposited: 19 Feb 2021 07:00
Last Modified: 23 Mar 2021 09:12
URI: https://eref.uni-bayreuth.de/id/eprint/63230