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Asymptotic Variance Expressions for a Frequency Domain Subspace based System Identification Algorithm
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1995 (English)In: Proceedings of the 34th IEEE Conference on Decision and Control, 1995, 1234-1239 vol.2 p.Conference paper, Published paper (Refereed)
Abstract [en]

A frequency domain identification algorithm is analyzed. The algorithm identifies state-space models given samples of the frequency response function given at equidistant frequencies. A first order perturbation analysis is performed revealing an explicit expression of the resulting transfer function perturbation. Stochastic analysis show that the estimate is asymptotically (in data) normal distributed and an expression of the resulting variance is derived. Monte Carlo simulations illustrates the validity of the derived variance also for the nonasymptotic case and a comparison with the Cramer-Rao lower bound shows that the algorithm is suboptimal.

Place, publisher, year, edition, pages
1995. 1234-1239 vol.2 p.
Keyword [en]
Identification, Subspace method, Stochastic analysis, Variance expression
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-93736DOI: 10.1109/CDC.1995.480266ISBN: 0-7803-2685-7 (print)OAI: oai:DiVA.org:liu-93736DiVA: diva2:628982
Conference
34th IEEE Conference on Decision and Control, New Orleans, LA, USA, December, 1995
Funder
Swedish Research Council
Available from: 2013-06-15 Created: 2013-06-10 Last updated: 2013-06-15

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CiteExportLink to record
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