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LTV Model Reduction With Upper Error Bounds
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2009 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 54, no 7, 1450-1462 p.Article in journal (Refereed) Published
Abstract [en]

A new approach for computing upper error bounds for reduced-order models of linear time-varying systems is presented. It is based on a transformation technique of the Hankel singular values using positive-real, odd incremented functions. By applying such time-varying functions, the singular values to be removed can be forced to become equal and constant, so that they can be reduced. Two variations of this method are proposed: one for finite-time horizons and the other for infinite-time problems including periodic systems.

Place, publisher, year, edition, pages
2009. Vol. 54, no 7, 1450-1462 p.
Keyword [en]
Error bound, Linear time-varying (LTV) systems, Model reduction, Positive real functions, Rational interpolation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-20139DOI: 10.1109/TAC.2009.2022091OAI: oai:DiVA.org:liu-20139DiVA: diva2:233393
Available from: 2009-08-31 Created: 2009-08-31 Last updated: 2013-07-22

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Helmersson, Anders

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