Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
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, 2843-2848 p.Conference 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. ©2010 IEEE.

Place, publisher, year, edition, pages
IEEE , 2010. 2843-2848 p.
Series
2010 49th IEEE Conference on Decision and Control, CDC 2010
Keyword [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: diva2:471644
Conference
The 49th IEEE Conference on Decision and Control, Atlanta, GA, 15-17 Dec. 2010
Note
References: Ljung, L., (1999) System Identification: Theory for the User, 2nd Edition, , Upper Saddle River, New Jersey: Prentice Hall; Van Overschee, P., DeMoor, B., (1996) Subspace Identification of Linear Systems: Theory, Implementation, Applications, , Kluwer; Wahlberg, B., Jansson, M., Matsko, T., Molander, M., Experiences from subspace system identification - Comments from process industry users and researchers (2007) Modeling, Estimation and Control, Lecture Notes in Information and Control Sciences, pp. 315-327. , Springer, Oct; Wahlberg, B., Hjalmarsson, H., MÃ¥rtensson, J., Variance analysis for identification of cascade systems Decision and Control, 2008. CDC 2008. 47th IEEE Conference On, Dec. 2008, pp. 131-136; Wahlberg, B., Hjalmarsson, H., MÃ¥rtensson, J., Variance results for identification of cascade systems (2009) Automatica, 45, pp. 1443-1448. , Jun; Lyzell, C., Enqvist, M., Ljung, L., Handling certain structure information in subspace identification Proceedings of the 15th IFAC Symposium on System Identification, Apr. 2009; Van Gestel, T., Suykens, J., Van Dooren, P., De Moor, B., Identi- Fication of stable models in subspace identification by using regularization (2001) Automatic Control, IEEE Transactions on, 46 (9), pp. 1416-1420. , sep; Lacy, S., Bernstein, D., Subspace identification with guaranteed stability using constrained optimization (2003) Automatic Control, IEEE Transactions on, 48 (7), pp. 1259-1263. , july; Wahlberg, B., Sandberg, H., Cascade structural model approximation of identified state space model Proceedings IEEE Conference on Decision and Control, Cancun, Mexico, Dec. 2008; Wahlberg, B., Hjalmarsson, H., MÃ¥rtensson, J., On identification of cascade systems 17th IFAC World Congress, Jul. 2008, pp. 5036-5040; Horn, R.A., Johnson, C.R., (1990) Matrix Analysis, , Cambridge University Press; Johansson, K., Horch, A., Wijk, O., Hansson, A., Teaching multivariable control using the quadruple-tank process (1999) Decision and Control, 1999. Proceedings of the 38th IEEE Conference on, 1, pp. 807-812. , vol.1; Hjalmarsson, H., System identification of complex and structured systems European Control Conference, Budapest, Hungary, Aug. 2009, pp. 3424-3452; Bombois, X., Scorletti, G., Gevers, M., Den Hof, P.V., Hildebrand, R., Least costly identification experiment for control (2006) Automatica, 42 (10), pp. 1651-1662. , http://www.sciencedirect.com/science/article/B6V21-4KR85M7-1/2/ 23969a3b1ef2e293b63428b4d3fc62a7, [Online]. Available QC 20120131Available from: 2012-01-31 Created: 2012-01-02 Last updated: 2013-09-05Bibliographically approved

Open Access in DiVA

IR-EE-RT 2010:021(122 kB)206 downloads
File information
File name FULLTEXT01.pdfFile size 122 kBChecksum SHA-512
7f56f9757fd4cd24ab429aafea3151730da1202fee2cbcb327bc600245237eafb1e3bdcf4109c397cdfcbf2de6a0989ed60c18f9024122501702413c8ebd5da5
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopushttp://www.scopus.com/inward/record.url?eid=2-s2.0-78751604189&partnerID=40&md5=8ebc7ef8abd753afd6dc005df958d826IEEEXplore

Authority records BETA

Wahlberg, BoSandberg, Henrik

Search in DiVA

By author/editor
Hägg, PerWahlberg, BoSandberg, Henrik
By organisation
Automatic ControlACCESS Linnaeus Centre
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 206 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

doi
isbn
urn-nbn

Altmetric score

doi
isbn
urn-nbn
Total: 96 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf