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Model Reduction of Interconnected Linear Systems Using Structured Gramians
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1835-2963
Caltech, Control and Dynamical Systems.
2008 (English)In: 17th World Congress, International Federation of Automatic Control, IFAC, 2008Conference paper, Published paper (Refereed)
Abstract [en]

The problem of structure-preserving model reduction of interconnected linear systems is considered in this paper. The problem is interesting because networked models often have high order, and standard model-reduction methods usually do not preserve interconnection structure. As a tool, balanced truncation and block-diagonal generalized controllability and observability Gramians are used. Block-diagonal generalized Gramians do not exist for all interconnected systems, but a class of systems that always has such Gramians is identified. Furthermore, it is shown how general interconnected systems can be associated with interconnected systems in this class. The block-diagonal Gramians are then used to compute the reduced models and also yield asymptotic a priori approximation error bounds and stability guarantees for the reduced models.

Place, publisher, year, edition, pages
2008.
Series
IFAC Proceedings Volumes, ISSN 1474-6670 ; 17
Keyword [en]
Controller constraints and structure; Linear systems
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-75301OAI: oai:DiVA.org:kth-75301DiVA: diva2:490432
Conference
17th World Congress, International Federation of Automatic Control, IFAC. Seoul. 6 July 2008 - 11 July 2008
Note

QC 20120206

Available from: 2012-02-05 Created: 2012-02-05 Last updated: 2017-06-14Bibliographically approved

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Sandberg, Henrik

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