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.
@article{arxiv.2103.11656,
title = {Approximate observability and back and forth observer of a PDE model of crystallisation process},
author = {Lucas Brivadis and Ludovic Sacchelli},
journal= {arXiv preprint arXiv:2103.11656},
year = {2021}
}