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State-Space Parametrizations of Multivariable Linear Systems using Tridiagonal Matrix Forms
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1996 (English)In: Proceedings of the 35th IEEE Conference on Decision and Control, 1996, 3654-3659 vol.4 p.Conference paper, Published paper (Refereed)
Abstract [en]

Tridiagonal parametrizations of linear state-space models are proposed for multivariable system identification. The parametrizations are surjective, i.e. all systems up to a given order can be described. The parametrization is based on the fact that any real square matrix is similar to a real tridiagonal form as well as a compact tridiagonal form. These parametrizations has significantly fewer parameters compared to a full parametrization of the state-space matrices.

Place, publisher, year, edition, pages
1996. 3654-3659 vol.4 p.
Keyword [en]
Matrix algebra, Multivariable systems, Parameter estimation, State-space methods
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-93770DOI: 10.1109/CDC.1996.577188ISBN: 0-7803-3590-2 (print)OAI: oai:DiVA.org:liu-93770DiVA: diva2:628862
Conference
35th IEEE Conference on Decision and Control, Kobe, Japan, December, 1996
Available from: 2013-06-14 Created: 2013-06-10 Last updated: 2013-06-14

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Helmersson, Anders

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