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A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-5194-3306
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2013 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 332, no 19, 4403-4422 p.Article, review/survey (Refereed) Published
Abstract [en]

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 that 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 focusing 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.

Place, publisher, year, edition, pages
2013. Vol. 332, no 19, 4403-4422 p.
Keyword [en]
Balanced truncation, Comparison of models, Computational aspects, Model reduction problems, Model reduction techniques, Moment matching method, Numerical mathematics, Systems and control
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-125833DOI: 10.1016/j.jsv.2013.03.025ISI: 000321993500001ScopusID: 2-s2.0-84879012335OAI: diva2:641013

QC 20130815

Available from: 2013-08-15 Created: 2013-08-15 Last updated: 2013-08-15Bibliographically approved

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Besselink, Bart
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Automatic ControlACCESS Linnaeus Centre
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