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Uprejudiced Optimal Open Loop Input Design for Identification of Transfer 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.
1985 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 21, no 6, 697-708 p.Article in journal (Refereed) Published
Abstract [en]

The problem to estimate transfer functions of linear systems is considered. The quality of the resulting estimate depends, among other things, on the input used during the identification experiment. We measure the quality using a quadratic norm in the frequency domain. The problem to determine optimal inputs, i.e. inputs that minimize the chosen norm, subject to constrained input variance, has long been studied. We point out that such procedures may involve a prejudice (that the system is to be found in a certain model set) that may have some surprising effects. We discuss how such a prejudice can be reduced by allowing the possibility that the true system cannot be exactly described in the chosen model set. We also calculate explicit expressions for the resulting “unprejudiced” optimal inputs. These expressions relate the signal-to-noise ratio (as a function of frequency) to the chosen weighting function in the quadratic norm. We also point out the role of the employed noise model for the design.

Place, publisher, year, edition, pages
Elsevier, 1985. Vol. 21, no 6, 697-708 p.
Keyword [en]
Identification, Experiment design, Spectral analysis
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-100750DOI: 10.1016/0005-1098(85)90043-3OAI: oai:DiVA.org:liu-100750DiVA: diva2:663412
Available from: 2013-11-11 Created: 2013-11-11 Last updated: 2017-12-06

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Ljung, Lennart

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  • nn-NB
  • sv-SE
  • Other locale
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