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Grüne, Lars ; Pirkelmann, Simon:
Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs.
In: IFAC-PapersOnLine.
Bd. 52
(2019)
Heft 2
.
- S. 7-12.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2019.08.002
Dies ist die aktuelle Version des Eintrags.
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Angaben zu Projekten
| Projekttitel: |
Offizieller Projekttitel Projekt-ID Model predictive PDE control for energy efficient building operation: economic model predictive control and time varying systems GR 1569/16-1 |
|---|---|
| Projektfinanzierung: |
Deutsche Forschungsgemeinschaft |
Abstract
To prove approximate closed loop optimality of economic model predictive control of time varying systems, continuity assumptions for the optimal value function and the turnpike property are sufficient conditions. It can sometimes be difficult to prove these assumptions analytically for a given example. In this paper we present a numerical approach that aims to verify the assumptions by simulations for a system involving a convection-diffusion equation with boundary control. The results show that the assumptions are realistic and can be met for practical problems.
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Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs. (deposited 22 Dec 2018 22:00)
- Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs. (deposited 27 Aug 2019 10:00) [Aktuelle Anzeige]