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arXiv · 2406.01236

Snapshot-driven Rational Interpolation of Parametric Systems

Art J. R. Pelling·Karim Cherifi·Ion Victor Gosea·Ennes Sarradj
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Abstract

Parametric data-driven modeling is relevant for many applications in which the model depends on parameters that can potentially vary in both space and time. In this paper, we present a method to obtain a global parametric model based on snapshots of the parameter space. The parameter snapshots are interpolated using the classical univariate Loewner framework and the global bivariate transfer function is extracted using a linear fractional transformation (LFT). Rank bounds for the minimal order of the global realization are also derived. The results are supported by various numerical examples.

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Art J. R. Pelling, Karim Cherifi, Ion Victor Gosea, Ennes Sarradj. 2024-06-03. Snapshot-driven Rational Interpolation of Parametric Systems. https://arxiv.org/abs/2406.01236

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