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Composite modeling of transfer functions

Hjalmarsson, Håkan, 1962- (author)
Linköpings universitet,Reglerteknik,Tekniska högskolan,Department of Electrical Engineering, Linköping University,Reglerteknik, Automatic Control
Gustafsson, Fredrik, 1964- (author)
Linköpings universitet,Reglerteknik,Tekniska högskolan,Department of Electrical Engineering, Linköping University,Reglerteknik, Automatic Control
 (creator_code:org_t)
New Orleans, LA, USA : Institute of Electrical and Electronics Engineers (IEEE), 1995
1995
English.
Series: LiTH-ISY-R, 1400-3902 ; 1791
In: Proceedings of the IEEE Conference on Decision and Control. - New Orleans, LA, USA : Institute of Electrical and Electronics Engineers (IEEE). - 0780326857 ; 40:5, s. 820-832
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • The problem under consideration is how to estimate the frequency function of a system and the associated estimation error when a set of possible model structures is given and when one of them is known to contain the true system. The 'classical' solution to this problem is to, firstly, use a consistent model structure selection criterium to discard all but one single structure. Secondly, estimate a model in this structure and, thirdly, conditioned on the assumption that the chosen structure contains the true system, compute an estimate of the estimation error. However, for a finite data set one cannot guarantee that the correct structure is chosen and this 'structural' uncertainty is lost in the previously mentioned approach. In this contribution a method is developed that combines the frequency function estimates and the estimation errors from all possible structures into a joint estimate and estimation error. Hence, this approach by-passes the structure selection problem. This is accomplished by employing a Bayesian setting.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

Data structures
Errors
Estimation
Frequency domain analysis
Identification (control systems)
Mathematical models
Regression analysis
Bayesian setting
Composite modeling
Estimation error
Finite data set
Frequency function
Transfer functions
SRA - ICT
SRA - Informations- och kommunikationsteknik
Automatic control
TECHNOLOGY

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ref (subject category)
kon (subject category)

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Royal Institute of Technology
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