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Model structure and numerical properties of normal equations
University of Newcastle.
KTH, Superseded Departments, Signals, Sensors and Systems. (Reglerteknik)ORCID iD: 0000-0002-9368-3079
2001 (English)In: IEEE Transactions on Circuits And Systems Part I: Fundamental Theory and Applications, ISSN 1057-7122, E-ISSN 1558-1268, Vol. 48, no 4, 425-437 p.Article in journal (Refereed) Published
Abstract [en]

There has been recent interest in using ortho-normalized forms of fixed denominator model structures for system identification, A key motivating factor in the employment of these forms is that of improved numerical properties. Namely, for white input, perfect conditioning of the least-squares normal equations is achieved by design. However, for the more usual case of colored input spectrum, it is not clear what the numerical conditioning properties should be in relation to simpler and perhaps more natural model structures. This paper provides theoretical and empirical evidence to argue that in fact, even though the orthonormal structures are only designed to provide perfect numerical conditioning for white input, they still provide improved conditioning for a wide variety of colored inputs.

Place, publisher, year, edition, pages
2001. Vol. 48, no 4, 425-437 p.
Keyword [en]
generalized orthonormal basis, linear dynamical-systems, identification, laguerre, tracking, filters, bases
National Category
Control Engineering
Research subject
URN: urn:nbn:se:kth:diva-20574DOI: 10.1109/81.917980ISI: 000168401000005OAI: diva2:339270
QC 20100525 NR 20140804Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2012-01-13Bibliographically approved

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Hjalmarsson, Håkan
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Signals, Sensors and Systems
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