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Reports Year : 1995

Robust identification in the disc algebra from band-limited data

Juliette Leblond
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Jonathan R. Partington
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N. Torkhani
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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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Dates and versions

inria-00074187 , version 1 (24-05-2006)

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  • HAL Id : inria-00074187 , version 1

Cite

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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