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A Unifying Construction of Orthonormal Bases for System Identification
University of Newcastle, Australia.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1997 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 42, no 4, 515-521 p.Article in journal (Refereed) Published
Abstract [en]

This paper develops a general and very simple construction for complete orthonormal bases for system identification. This construction provides a unifying formulation of many previously studied orthonormal bases since the common FIR and recently popular Laguerre and two-parameter Kautz model structures are restrictive special cases of the construction presented here. However, in contrast to these special cases, the basis vectors in the unifying construction of this paper can have arbitrary placement of pole position according to the prior information the user wishes to inject. Results characterizing the completeness of the bases and the accuracy properties of models estimated using the bases are provided.

Place, publisher, year, edition, pages
1997. Vol. 42, no 4, 515-521 p.
Keyword [en]
Identification, Pole assignment, State-space methods
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-95672DOI: 10.1109/9.566661OAI: oai:DiVA.org:liu-95672DiVA: diva2:637193
Available from: 2013-07-16 Created: 2013-07-16 Last updated: 2017-12-06

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Gustafsson, Fredrik

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