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On subspace identification of cascade structured systems
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. (System Identification Group)ORCID iD: 0000-0002-1927-1690
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0003-1835-2963
2010 (English)In: Proceedings of the IEEE Conference on Decision and Control, IEEE , 2010, p. 2843-2848Conference paper, Published paper (Refereed)
Abstract [en]

In identification it is important to take a priori structural information into account in many applications, something that is difficult when using subspace methods. Here will study how to incorporate a special structure, a cascade structure with two subsystems. Two new methods are derived for estimating system with this structure. The problem when using subspace identification on cascade structured system is that the states from the first subsystem are mixed with states from the second subsystem via a unknown similarity transform. The first indirect method finds a similarity transform that takes the system back to a form such that the subsystems can be recovered. The second method uses the fact that the structure of the extended observability matrix is known for cascade systems. However, it only works when both subsystems have order one. In practice this is still a common case. The results of the two methods seem promising, as illustrated by applying the methods to a real process, the double tank process. The performance is comparable with state of the art methods. Finally the problem of optimal input design for cascade systems are introduced, and illustrated by a simple example.

Place, publisher, year, edition, pages
IEEE , 2010. p. 2843-2848
Series
2010 49th IEEE Conference on Decision and Control, CDC 2010
Keywords [en]
Cascade structures, Cascade systems, Indirect methods, Observability matrix, Optimal input design, Real process, Special structure, State-of-the-art methods, Structural information, Structured systems, Sub-space methods, Subspace identification, Identification (control systems)
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-55388DOI: 10.1109/CDC.2010.5717248ISI: 000295049103048Scopus ID: 2-s2.0-78751604189ISBN: 978-1-4244-7745-6 (print)OAI: oai:DiVA.org:kth-55388DiVA, id: diva2:471644
Conference
The 49th IEEE Conference on Decision and Control, Atlanta, GA, 15-17 Dec. 2010
Note

QC 20240110

Available from: 2012-01-31 Created: 2012-01-02 Last updated: 2024-01-10Bibliographically approved

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IR-EE-RT 2010:021(122 kB)554 downloads
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Publisher's full textScopushttp://www.scopus.com/inward/record.url?eid=2-s2.0-78751604189&partnerID=40&md5=8ebc7ef8abd753afd6dc005df958d826IEEEXplore

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Wahlberg, BoSandberg, Henrik

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CiteExportLink to record
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