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Communication Dans Un Congrès Année : 2021

Approximate observability and back and forth observer of a PDE model of crystallisation process

Résumé

In this paper, we are interested in the estimation of Particle Size Distributions (PSDs) during a batch crystallization process in which particles of two different shapes coexist and evolve simultaneously. The PSDs are estimated thanks to a measurement of an apparent Chord Length Distribution (CLD), a measure that we model for crystals of spheroidal shape. Our main result is to prove the approximate observability of the infinite-dimensional system in any positive time. Under this observability condition, we are able to apply a Back and Forth Nudging (BFN) algorithm to reconstruct the PSD.
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Dates et versions

hal-03175017 , version 1 (19-03-2021)

Identifiants

Citer

Lucas Brivadis, Ludovic Sacchelli. Approximate observability and back and forth observer of a PDE model of crystallisation process. CDC 2021 - 60th IEEE Conference on Decision and Control, Dec 2021, Austin, Texas, United States. pp.4436-4441, ⟨10.1109/CDC45484.2021.9683245⟩. ⟨hal-03175017⟩
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