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Hankel-Norm-Based Lumping of Interconnected Linear Systems
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1835-2963
2009 (English)In: Proceedings of MATHMOD 2009,  Vienna, Austria, 2009Conference paper (Other academic)
Abstract [en]

In this paper, we consider the problem of how and when to lump subsystems together inlarge linear interconnected systems with external inputs and outputs. The motivation for this work isthat we often want to reduce the model order of large interconnected systems, but before we do thatwe should identify what interconnection structures that are worth preserving in the reduction. For thispurpose a constrained Hankel-norm is introduced in this paper, and a so-called lumping index is derivedfrom it. A subsystem that is not a very independent subsystem in the interconnected system has a largelumping index, and we argue in the paper that it then is a good candidate for lumping. As an example,a large mechanical spring-mass system is considered.

Place, publisher, year, edition, pages
National Category
Control Engineering
URN: urn:nbn:se:kth:diva-74601OAI: diva2:489748
MATHMOD 2009, Vienna, Austria
QC 20120206Available from: 2012-02-06 Created: 2012-02-03 Last updated: 2012-02-06Bibliographically approved

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