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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.
2006 (English)Report (Other academic)
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
Linköping: Linköping University Electronic Press, 2006. , 36 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2725
Keyword [en]
Error bound, Linear time-varying (LTV) systems, Model reduction, Positive real functions, Rational interpolation
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-56075ISRN: LiTH-ISY-R-2725OAI: diva2:316860
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-08-12Bibliographically approved

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Helmersson, Anders
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Automatic ControlThe Institute of Technology
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