A bilinear identification‐modeling framework from time domain data

Abstract: An ever‐increasing need for improving the accuracy includes more involved and detailed features, thus inevitably leading to larger‐scale dynamical systems [1]. To overcome this problem, efficient finite methods heavily rely on model reduction. One of the main approaches to model reduction of both linear and nonlinear systems is by means of interpolation. The Loewner framework is a direct data‐driven method able to identify and reduce models derived directly from measurements. For measured data in the frequency domain, the Loewner framework is well established in linear case [2] while it has already extended to nonlinear [6]. On the other hand in the case of time domain data, the Loewner framework was already applied for approximating linear models [3]. In this study, an algorithm which uses time domain data for nonlinear (bilinear) system reduction and identification is presented.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
A bilinear identification‐modeling framework from time domain data ; volume:19 ; number:1 ; year:2019 ; extent:2
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)

Creator
Karachalios, Dimitrios S.
Gosea, Ion Victor
Antoulas, Athanasios C.

DOI
10.1002/pamm.201900246
URN
urn:nbn:de:101:1-2022072208242200753966
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:29 AM CEST

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Associated

  • Karachalios, Dimitrios S.
  • Gosea, Ion Victor
  • Antoulas, Athanasios C.

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