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Model reduction of linear systems using extended balanced truncation
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1835-2963
2008 (English)In: 2008 AMERICAN CONTROL CONFERENCE, 2008, 4654-4659 p.Conference paper (Refereed)
Abstract [en]

An extension to balanced truncation is presented. Balanced truncation is a standard method for model reduction and it has many good properties, such as preservation of model stability and a priori error bounds. Balanced truncation is done using controllability and observability Gramians. The Gramians can be found by solving a set of linear matrix inequalities. In this paper, we show that these linear matrix inequalities can be extended so that the number of decision variables are at least doubled. This leads to the concept of extended Gramians. It is shown that all the good properties of balanced truncation also hold for extended balanced truncation. It turns out that extended balanced truncation is especially useful when there are additional structure constraints in the model to be reduced. This is useful in frequency-weighted reduction, for example.

Place, publisher, year, edition, pages
2008. 4654-4659 p.
, Proceedings of the American control conference, ISSN 0743-1619
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-26529DOI: 10.1109/ACC.2008.4587229ISI: 000259261503118ScopusID: 2-s2.0-52449083358OAI: diva2:387497
American Control Conference 2008 Seattle, WA, JUN 11-13, 2008
QC 20110114Available from: 2011-01-14 Created: 2010-11-25 Last updated: 2011-01-14Bibliographically approved

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