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Approximate Modelling by means of Orthonormal Functions
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.
1991 (English)In: Modeling, Estimation and Control of Systems with Uncertainty: Proceedings of a Conference held in Sopron, Hungary, September, 1990 / [ed] Giovanni B. Di Masi, Andrea Gombani, Alexander B. Kurzhansky, Boston: Birkhäuser Verlag, 1991, 449-467 p.Chapter in book (Refereed)
Abstract [en]

ARX, AR and FIR modeling are generalized by repacing the delay operator by discrete Laguerre/Kautz filters. The aim is to obtain useful low order approximate models of complex systems by using a priori information about the dominating time constants of the system. An important characteristic of these models are that they can be written in a linear regressions form. Hence, the least squares methods can be applied for system identification. By deriving naturally associated state-space realizations of Laguerre/Kautz models, we obtain model representations that are more directly suitable for control design etc. The orthonormal property of Laguerre/Kautz functions is very important, since it guarantees a Toeplitz structure of the corresponding least squares normal equations. This property enables us to determine persistence of excitation conditions and analyze asymp totic statistical properties of Laguerre/Kautz model estimates.

Place, publisher, year, edition, pages
Boston: Birkhäuser Verlag, 1991. 449-467 p.
Series
Progress in Systems and Control Theory, 10
Keyword [en]
Laguerre filter, Kautz filter, Approximation, Complex system, Linear regression, Least square method, Control theory Congresses, Stochastic processes Congresses
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-91637DOI: 10.1007/978-1-4612-0443-5_31ISBN: 0-8176-3580-7 (alk. paper) ISBN: 3-7643-3580-7 (alk. paper) OAI: oai:DiVA.org:liu-91637DiVA: diva2:626047
Conference
1990 IIASA Symposium on Modeling and Control of Systems with Uncertainty, Sopron, Hungary, September, 1990
Available from: 2013-06-06 Created: 2013-04-28 Last updated: 2014-05-09

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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
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