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Theses

Filtrage non linéaire par convolution de particule. Application à un procédé de dépollution biologique

Abstract : This thesis considers the problem of nonlinear filtering, i.e. the on line estimation of the indirectly observed state of a nonlinear dynamical system. This type of problems relates to a broad range of models relative to various scientific fields.
An original approach using the convolution kernels and simulations of a large number of random variables is developed. The case of the models with unknown parameters to estimate is also treated. Theoretical properties of convergence are established for these new approaches.
In order to complete the study of our techniques, the comparisons with the traditional methods, especially with the various particle filters, are carried out in simulation.
Then our new approaches are applied to a real problem, a bioreactor for wastewater treatment. The performances obtained, on real data, make it possible to appreciate the robustness of the method with respect to the model errors and perturbated data.
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Contributor : Vivien Rossi <>
Submitted on : Friday, February 11, 2005 - 2:49:23 PM
Last modification on : Thursday, July 23, 2020 - 3:14:17 AM
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Vivien Rossi. Filtrage non linéaire par convolution de particule. Application à un procédé de dépollution biologique. Mathématiques [math]. Ecole nationale superieure agronomique de montpellier - AGRO M, 2004. Français. ⟨tel-00008459⟩

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