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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Rapport
RR-2488, INRIA. 1995
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https://hal.inria.fr/inria-00074187
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Soumis le : mercredi 24 mai 2006 - 14:42:22
Dernière modification le : samedi 27 janvier 2018 - 01:31:05
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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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