A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control

B. Besselink, A. Lutowska, U. Tabak, N. Wouw, van de, H. Nijmeijer, M.E. Hochstenbach, W.H.A. Schilders, D.J. Rixen

Research output: Book/ReportReportAcademic

132 Citations (Scopus)
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Abstract

In this paper, popular model reduction techniques from the fields of structural dynamics, numerical mathematics and systems and control are reviewed and compared. The motivation for such a comparison stems from the fact the model reduction techniques in these fields have been developed fairly independently. In addition, the insight obtained by the comparison allows for making a motivated choice for a particular model reduction technique, on the basis of the desired objectives and properties of the model reduction problem. In particular, a detailed review is given on mode displacement techniques, moment matching methods and balanced truncation, whereas important extensions are outlined briefly. In addition, a qualitative comparison of these methods is presented, hereby focussing both on theoretical and computational aspects. Finally, the differences are illustrated on a quantitative level by means of application of the model reduction techniques to a common example.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages27
Publication statusPublished - 2013

Publication series

NameCASA-report
Volume1327
ISSN (Print)0926-4507

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Structural dynamics

Cite this

Besselink, B., Lutowska, A., Tabak, U., Wouw, van de, N., Nijmeijer, H., Hochstenbach, M. E., ... Rixen, D. J. (2013). A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control. (CASA-report; Vol. 1327). Eindhoven: Technische Universiteit Eindhoven.
Besselink, B. ; Lutowska, A. ; Tabak, U. ; Wouw, van de, N. ; Nijmeijer, H. ; Hochstenbach, M.E. ; Schilders, W.H.A. ; Rixen, D.J. / A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control. Eindhoven : Technische Universiteit Eindhoven, 2013. 27 p. (CASA-report).
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Besselink, B, Lutowska, A, Tabak, U, Wouw, van de, N, Nijmeijer, H, Hochstenbach, ME, Schilders, WHA & Rixen, DJ 2013, A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control. CASA-report, vol. 1327, Technische Universiteit Eindhoven, Eindhoven.

A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control. / Besselink, B.; Lutowska, A.; Tabak, U.; Wouw, van de, N.; Nijmeijer, H.; Hochstenbach, M.E.; Schilders, W.H.A.; Rixen, D.J.

Eindhoven : Technische Universiteit Eindhoven, 2013. 27 p. (CASA-report; Vol. 1327).

Research output: Book/ReportReportAcademic

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Besselink B, Lutowska A, Tabak U, Wouw, van de N, Nijmeijer H, Hochstenbach ME et al. A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control. Eindhoven: Technische Universiteit Eindhoven, 2013. 27 p. (CASA-report).