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Data-driven modeling with prior system knowledge

delete2026-02-01
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OA
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F
Fritz A. Engeln *
J
Jan-Willem van Wingerden
T
Timm Faulwasser
DOI:10.1016/j.ifacsc.2026.100384delete
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Abstract

Abstract

En 中文
The behavior of a linear time-invariant system can be characterized entirely by measured input-output data that spans the vector space of all possible trajectories of the system relying on the fundamental lemma by Willems et al. However, useful a priori knowledge of the system is usually neglected. We propose a novel method for incorporating prior knowledge, specifically, known pole and zero locations, into a data-driven representation by constructing filters that pre-process the measured input-output data. To this end, a physics-informed data-driven predictor is introduced, where trajectories are obtained as linear combinations of the columns of a filtered block-Hankel matrix. We explicitly derive the output prediction error and show how leveraging prior knowledge reduces the impact of future noise realizations on output predictions and improves the accuracy of the initial state that is inferred from past data. (c) 2026 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Keywords:
Data-driven control
System identification
Filtering
Persistency of excitation
Physics-informed learning
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Journal

I
IFAC Journal of Systems and Control
IF:
1.8
Papers:
80
Citations:
317

Organization

D
delft university of technology
Scholars:
2.8K
Papers: 1.3K
Citations: 0
H
hamburg university of technology
Scholars:
303
Papers: 146
Citations: 0