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Robust identification in the disc algebra from band-limited data

Abstract : We consider the problem of identifying a scalar BIBO-stable transfer function from a series of experimental pointwise measurements at a set of frequencies lying within the bandwidth. To this end, we propose an algorithm which consists in building a sequence of maps from data to BIBO-stable models which uniformly converges to the seeked transfer function on the bandwidth when the number of measurements goes to infinity and the noise level goes to zero, while asymptotically meeting some gauge constraint outside. Error bounds are derived for this approximation scheme which is also illustrated by numerical experiments.
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https://hal.inria.fr/inria-00074187
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 2:42:22 PM
Last modification on : Saturday, January 27, 2018 - 1:31:05 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 3:55:08 PM

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  • HAL Id : inria-00074187, version 1

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Laurent Baratchart, Juliette Leblond, Jonathan R. Partington, N. Torkhani. Robust identification in the disc algebra from band-limited data. RR-2488, INRIA. 1995. ⟨inria-00074187⟩

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