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Assessing Model Quality from Data
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.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1991 (English)In: Proceedings of the 1990 IIASA Symposium on Modeling and Control of Systems with Uncertainty, 1991, 167-187 p.Conference paper, Published paper (Refereed)
Abstract [en]

The problem of deriving error bounds for estimated transfer functions is addressed. By blending a priori knowledge and information obtained from measured data, we show how the uncertainty of transfer function estimates can be quantified. The emphasis is on errors due to model mismatch. The effects of unmodeled dynamics can be considered as bounded disturbances. Hence, techniques from set membership identification can be applied to this problem. The approach taken corresponds to weighted least squares estimation, and provides hard frequency domain transfer function error bounds.

Real processes rarely are time-invariant. Hence, the unmodeled dynamics contains a time-varying part. It is important to quantify this model error as well. Herein, this is done in terms of confidence bounds for the “frozen” transfer function, i.e. the sequence of transfer functions obtained when freezing the time variable at succesive times. This method is based on the assumption that the true system is varying around some nominal system.

Place, publisher, year, edition, pages
1991. 167-187 p.
Keyword [en]
Error bounds, Transfer functions, Model mismatch, Quality
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-91630DOI: 10.1007/978-1-4612-0443-5_11ISBN: 978-1-4612-0443-5 (print)OAI: oai:DiVA.org:liu-91630DiVA: diva2:626147
Conference
1990 IIASA Symposium on Modeling and Control of Systems with Uncertainty, Sopron, Hungary, September, 1990
Available from: 2013-06-07 Created: 2013-04-28 Last updated: 2013-06-07

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Ljung, Lennart

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