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Algorithm for selection of best orthonormal rational basis

Bodin, Per (author)
KTH,Signaler, sensorer och system
Villemoes, Lars F. (author)
KTH,Signaler, sensorer och system
Wahlberg, Bo, 1959- (author)
KTH,Signaler, sensorer och system
 (creator_code:org_t)
San Diego, CA, USA, 1997
1997
English.
In: Proceedings of the IEEE Conference on Decision and Control. - San Diego, CA, USA. ; , s. 1277-1282
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • 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.

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

Algorithms
Control system synthesis
Mathematical models
Regression analysis
Transfer functions
Orthonormal generalized basis
Parameter estimation

Publication and Content Type

ref (subject category)
kon (subject category)

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Bodin, Per
Villemoes, Lars ...
Wahlberg, Bo, 19 ...
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ENGINEERING AND TECHNOLOGY
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Royal Institute of Technology

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