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Contributions à l'identification de modèles paramétriques non linéaires. Application à la modélisation de bassins versants ruraux.

Abstract : System identification is an established field in the aera of system analysis and control. It aims at determining mathematical models for dynamical systems based measured data. The identification of natural systems is crucial for a better understanding of our environment and this work aims at solving the modelling problem of the rainfall/flow relationship in rural catchments. In order to achieve this goal, two nonlinear model structures are studied: the Hammerstein and the Linear Parameter Varying (LPV) models. The contribution of this work lies in the development of identification methods dealing robustly with estimation problem of such models, both in discrete-time and continuous-time, in open-loop and closed-loop configuration, focusing on the realistic Box--Jenkins (BJ) case. Moreover, the methods are especially designed to result in relevant estimates in case the noise model is unknown, which is the case in most practical applications. The first chapter is an introduction defining the problems encountered with natural systems and motivating the theoretical work induced. The second chapter presents a suboptimal Refined Instrumental Variable based method for Hammerstein BJ models. The third chapter focuses on the identification of LPV-BJ models, highlights the problems encountered by the existing methods and proposes a solution via a reformulation of the model. Finally, the last chapter is dedicated to the application of the presented methods on some real rainfall/flow data set acquired from a rural catchment situated in Rouffach, Alsace, France for the identification of the rainfall/runoff relationship.
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Submitted on : Tuesday, December 28, 2010 - 3:09:16 PM
Last modification on : Friday, October 23, 2020 - 8:38:04 AM
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  • HAL Id : tel-01746382, version 2

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Vincent Laurain. Contributions à l'identification de modèles paramétriques non linéaires. Application à la modélisation de bassins versants ruraux.. Automatique / Robotique. Université Henri Poincaré - Nancy I, 2010. Français. ⟨NNT : 2010NAN10066⟩. ⟨tel-01746382v2⟩

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