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On the Mean Square Error of Transfer Function Estimates with Applications to Control
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1986 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

In this report we study the mean square error of transfer function estimates obtained by identification. The model quality is related to the use of models in regulator design, and the properties of affecting the bias part of the mean square error, both in fixed parameter control and adaptive control.

We also study the variance part of the mean square error for transfer function estimates obtained by recursive identification. In the report we derive expressions for the variance as a function of the step length of the identification method, the input spectrum, the variations of the true system and the model order. These expressions are verified and utilized in simulations.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1986. , 189 p.
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 90
Keyword [en]
Mean square error, Transfer function, Estimation, Applications
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-100638Local ID: LiU-TEK-LIC-1986:30ISBN: 91-7870-117-1OAI: diva2:663204
Available from: 2013-11-11 Created: 2013-11-10 Last updated: 2013-11-11Bibliographically approved

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Gunnarsson, Svante
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Automatic ControlThe Institute of Technology
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