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Algorithm for selection of best orthonormal rational basis
KTH, Superseded Departments, Signals, Sensors and Systems.
KTH, Superseded Departments, Signals, Sensors and Systems.
KTH, Superseded Departments, Signals, Sensors and Systems.ORCID iD: 0000-0002-1927-1690
1997 (English)In: Proceedings of the IEEE Conference on Decision and Control, San Diego, CA, USA, 1997, Vol. 2, no Piscataway, NJ, United States, 1277-1282 p.Conference paper, Published paper (Refereed)
Abstract [en]

This contribution deals with the problem of structure determination for generalized orthonormal basis models used in system identification. The model structure is parameterized by a pre-specified set of poles. Given this structure and experimental data a model can be estimated using linear regression techniques. Since the variance of the estimated model increases with the number of estimated parameters, the objective is to find structures that are as compact/parsimonious as possible. A natural approach would be to estimate the poles, but this leads to nonlinear optimization with possible local minima. In this paper, a best basis algorithm is derived for the generalized orthonormal rational bases. Combined with linear regression and thresholding this leads to compact transfer function representations.

Place, publisher, year, edition, pages
San Diego, CA, USA, 1997. Vol. 2, no Piscataway, NJ, United States, 1277-1282 p.
Series
Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5)
Keyword [en]
Algorithms, Control system synthesis, Mathematical models, Regression analysis, Transfer functions, Orthonormal generalized basis, Parameter estimation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-55415OAI: oai:DiVA.org:kth-55415DiVA: diva2:471613
Note
Sponsors: IEEE NR 20140805Available from: 2012-01-02 Created: 2012-01-02 Last updated: 2013-09-05Bibliographically approved

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Wahlberg, Bo

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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More styles
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
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  • Other locale
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Output format
  • html
  • text
  • asciidoc
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