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Approximating a flexible beam model in the Loewner framework

Autor: Zuyev, A., Gosea, I. V.

The paper develops the Loewner approach for data-based modeling of a linear distributed-parameter system. This approach is applied to a controlled flexible beam model coupled with a spring-mass system. The original dynamical system is described by th

Externí odkaz: http://arxiv.org/abs/2212.05600

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Data-driven quadratic modeling in the Loewner framework from input-output time-domain measurements

Autor: Karachalios, D. S., Gosea, I. V., Gkimisis, L., Antoulas, A. C.

In this study, we present a purely data-driven method that uses the Loewner framework (LF) along with nonlinear optimization techniques to infer quadratic with affine control dynamical systems that admit Volterra series (VS) representations from inpu

Externí odkaz: http://arxiv.org/abs/2211.10635

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On Bilinear Time Domain Identification and Reduction in the Loewner Framework

Autor: Karachalios, D. S., Gosea, I. V., Antoulas, A. C.

The Loewner framework-(LF) in combination with Volterra series-(VS) offers a non-intrusive approximation method that is capable of identifying bilinear models from time-domain measurements. This method uses harmonic inputs which establish a natural w

Externí odkaz: http://arxiv.org/abs/2003.08711

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Case study: Approximations of the Bessel Function

Autor: Karachalios, D. S., Gosea, I. V., Zhang, Q., Antoulas, A. C.

The purpose of this note is to compare various approximation methods as applied to the inverse of the Bessel function of the first kind, in a given domain of the complex plane.
Comment: 18 pages, 44 figures

Externí odkaz: http://arxiv.org/abs/1801.03390

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The one-sided Loewner framework and connections to other model reduction methods based on interpolation

Autor: Gosea, I., Antoulas, A.

Publikováno v: IFAC-Papers

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::90b6e824e39d1c0b3b63fb3b2144e858
https://doi.org/10.1016/j.ifacol.2022.11.082

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Data-driven modeling and control of large-scale dynamical systems in the Loewner framework: Methodology and applications

Autor: Gosea, I., Poussot-Vassal, C., Antoulas, A.

Publikováno v: Numerical Control : Part A
Handbook of Numerical Analysis

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______1874::1038f60bcf162da3b4ed3845c8e52b2b
https://hdl.handle.net/21.11116/0000-0009-296A-321.11116/0000-000A-56FB-B21.11116/0000-0009-2968-5

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Learning reduced-order models of quadratic dynamical systems from input-output data

Autor: Gosea, I., Karachalios, D., Antoulas, A.

Publikováno v: 2021 European Control Conference (ECC)

In this paper, we address an extension of the Loewner framework for learning quadratic control systems from input-output data. The proposed method first constructs a reduced-order linear model from measurements of the classical transfer function. The

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58a3d1a16489c31fde42455a7b184c6c
https://doi.org/10.23919/ecc54610.2021.9654993

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