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Algorithm for selec...
Algorithm for selection of best orthonormal rational basis
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- Bodin, Per (author)
- KTH,Signaler, sensorer och system
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- Villemoes, Lars F. (author)
- KTH,Signaler, sensorer och system
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- Wahlberg, Bo, 1959- (author)
- KTH,Signaler, sensorer och system
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(creator_code:org_t)
- San Diego, CA, USA, 1997
- 1997
- English.
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In: Proceedings of the IEEE Conference on Decision and Control. - San Diego, CA, USA. ; , s. 1277-1282
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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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