HAVOK Model Predictive Control for Time-Delay Systems with Applications to District Heating

Fuente: arXiv
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Bibliographic Details
Main Authors: Jensen, Christian M., Frederiksen, Mathias C., Kallesøe, Carsten S., Jensen, Jeppe N., Andersen, Laurits H., Izadi-Zamanabadi, Roozbeh
Format: Preprint
Published: 2022
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author Jensen, Christian M.
Frederiksen, Mathias C.
Kallesøe, Carsten S.
Jensen, Jeppe N.
Andersen, Laurits H.
Izadi-Zamanabadi, Roozbeh
author_facet Jensen, Christian M.
Frederiksen, Mathias C.
Kallesøe, Carsten S.
Jensen, Jeppe N.
Andersen, Laurits H.
Izadi-Zamanabadi, Roozbeh
contents A computationally efficient Model-Predictive Control (MPC) approach is proposed for systems with unknown delay using only input/output data. We use the Koopman operator framework and the related Hankel Alternative View of Koopman (HAVOK) algorithm to identify a model in a basis of projected time-delay coordinates and demonstrate a novel MPC structure that reduces and bounds the computational complexity. The proposed HAVOK-MPC approach is validated experimentally on a laboratory-scale District Heating System (DHS), demonstrating excellent prediction and tracking performance while only requiring knowledge of a conservative upper bound on the system delay.
format Preprint
id arxiv_https___arxiv_org_abs_2211_00134
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle HAVOK Model Predictive Control for Time-Delay Systems with Applications to District Heating
Jensen, Christian M.
Frederiksen, Mathias C.
Kallesøe, Carsten S.
Jensen, Jeppe N.
Andersen, Laurits H.
Izadi-Zamanabadi, Roozbeh
Systems and Control
A computationally efficient Model-Predictive Control (MPC) approach is proposed for systems with unknown delay using only input/output data. We use the Koopman operator framework and the related Hankel Alternative View of Koopman (HAVOK) algorithm to identify a model in a basis of projected time-delay coordinates and demonstrate a novel MPC structure that reduces and bounds the computational complexity. The proposed HAVOK-MPC approach is validated experimentally on a laboratory-scale District Heating System (DHS), demonstrating excellent prediction and tracking performance while only requiring knowledge of a conservative upper bound on the system delay.
title HAVOK Model Predictive Control for Time-Delay Systems with Applications to District Heating
topic Systems and Control
url https://arxiv.org/abs/2211.00134