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Balanced model reduction of linear time-varying systems
Lund University, Department of Automatic Control.ORCID iD: 0000-0003-1835-2963
Lund University, Department of Automatic Control.
2002 (English)In: Proceedings of the 15th IFAC World Congress,  Barcelona, Spain, 2002Conference paper, Published paper (Refereed)
Abstract [en]

This paper treats model reduction of linear time-varying models in continuous time. The method proposed is based on time-varying Lyapunov inequalities and balancing of Gramians. An error bound for truncated models that generalizes the well-known 'twice-the-sum-of-the-tail'-formula for time-invariant balanced systems is obtained. Input-output stability of truncated balanced models is also proved.

Place, publisher, year, edition, pages
2002.
Keyword [en]
model reduction, linear systems, time-varying systems, error analysis, stability criteria
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-75302DOI: 10.3182/20020721-6-ES-1901.00204OAI: oai:DiVA.org:kth-75302DiVA: diva2:490435
Note
NR 20140805Available from: 2012-02-05 Created: 2012-02-05Bibliographically approved

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Sandberg, Henrik

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CiteExportLink to record
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