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- Bodin, PerKTH,Signaler, sensorer och system (author)
Algorithm for selection of best orthonormal rational basis
- Article/chapterEnglish1997
Publisher, publication year, extent ...
- San Diego, CA, USA,1997
- printrdacarrier
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- LIBRIS-ID:oai:DiVA.org:kth-55415
- https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-55415URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-57957URI
- https://doi.org/10.1109/CDC.1997.657631DOI
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- Language:English
- Summary in:English
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- Sponsors: IEEE NR 20140805
- NR 20140805
- 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 and genre
- TEKNIK OCH TEKNOLOGIER Elektroteknik och elektronik Reglerteknik hsv//swe
- ENGINEERING AND TECHNOLOGY Electrical Engineering, Electronic Engineering, Information Engineering Control Engineering hsv//eng
- Algorithms
- Control system synthesis
- Mathematical models
- Regression analysis
- Transfer functions
- Orthonormal generalized basis
- Parameter estimation
Added entries (persons, corporate bodies, meetings, titles ...)
- Villemoes, Lars F.KTH,Signaler, sensorer och system (author)
- Wahlberg, Bo,1959-KTH,Signaler, sensorer och system(Swepub:kth)u18c1tfa (author)
- KTHSignaler, sensorer och system (creator_code:org_t)
Related titles
- In:Proceedings of the IEEE Conference on Decision and ControlSan Diego, CA, USA, s. 1277-1282
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