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Approximative model reconstruction of cascade systems
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-1927-1690
2014 (English)In: Systems & control letters (Print), ISSN 0167-6911, E-ISSN 1872-7956, Vol. 69, no 1, 90-97 p.Article in journal (Refereed) Published
Abstract [en]

This letter considers how to approximately reconstruct a cascade system from a given unstructured system estimate. Many system identification methods, including subspace methods, provide reliable but generally unstructured black-box models. The problem we consider is how to find cascade systems that are close to such black-box models. For this, we use model matching techniques and optimal weighted Hankel-norm approximation to obtain accurate low-order cascade systems. We show that it is possible to bound the reconstruction error in terms of an error tolerance parameter and weighted Hankel singular values. The suggested methods are illustrated on both a numerical example and a real double tank system with experimental data.

Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 69, no 1, 90-97 p.
Keyword [en]
model reduction, cascade systems, model matching
National Category
Control Engineering
Research subject
Electrical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-145073DOI: 10.1016/j.sysconle.2014.04.010ISI: 000338609900013Scopus ID: 2-s2.0-84902006394OAI: oai:DiVA.org:kth-145073DiVA: diva2:716151
Funder
Swedish Research Council, 2009-4565Swedish Research Council, 2013-5523EU, European Research Council, 267381Swedish Foundation for Strategic Research
Note

QC 20140618

Available from: 2014-05-08 Created: 2014-05-08 Last updated: 2017-12-05Bibliographically approved

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