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Selection of best orthonormal rational basis
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- Bodin, Per (author)
- Swedish Space Corporation, Space Vehicle Design, Science Systems Division, P.O. Box 4207, S-171 04 Solna, Sweden
-
- Villemoes, Lars F. (author)
- KTH,Matematik (Inst.)
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- Wahlberg, Bo, 1959- (author)
- KTH,Signaler, sensorer och system
- Swedish Space Corporation, Space Vehicle Design, Science Systems Division, PO. Box 4207, S-171 04 Solna, Sweden Matematik (Inst.) (creator_code:org_t)
- 2000
- 2000
- English.
- In: SIAM Journal on Control and Optimization. - 0363-0129 .- 1095-7138. ; 38:4, s. 995-1032
- Journal article (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 prespecified set of poles representing a finite-dimensional subspace of H2. 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, one objective is to find coordinates, or a basis, for the finite-dimensional subspace giving as compact or parsimonious a system representation as possible. In this paper, a best basis algorithm and a coefficient decomposition scheme are derived for the generalized orthonormal rational bases. Combined with linear regression and thresholding this leads to compact transfer function representations. The methods are demonstrated with several examples.
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 analysis
- Functions
- Linear control systems
- Mathematical models
- Poles and zeros
- Regression analysis
- Best basis algorithms
- Orthonormal basis functions
- Structure determination
- Identification (control systems)
Publication and Content Type
- ref (subject category)
- art (subject category)
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