Selection of best orthonormal rational basis

Bodin, PerSwedish Space Corporation, Space Vehicle Design, Science Systems Division, P.O. Box 4207, S-171 04 Solna, Sweden (författare)

QC 20210416
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.

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 analysis
Functions
Linear control systems
Mathematical models
Poles and zeros
Regression analysis
Best basis algorithms
Orthonormal basis functions
Structure determination
Identification (control systems)

Villemoes, Lars F.KTH,Matematik (Inst.)(Swepub:kth)u1np887b (författare)
Wahlberg, Bo,1959-KTH,Signaler, sensorer och system(Swepub:kth)u18c1tfa (författare)
Swedish Space Corporation, Space Vehicle Design, Science Systems Division, P.O. Box 4207, S-171 04 Solna, SwedenMatematik (Inst.) (creator_code:org_t)

Ingår i:SIAM Journal on Control and Optimization38:4, s. 995-10320363-01291095-7138

Av författaren/redakt...: Bodin, Per; Villemoes, Lars ...; Wahlberg, Bo, 19 ...

Om ämnet

TEKNIK OCH TEKNOLOGIER: TEKNIK OCH TEKNO ...; och Elektroteknik oc ...; och Reglerteknik

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