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Contribution à l'Estimation d'Etat à Horizon Glissant par Méthodes Ensemblistes : Applications à la Surveillance et Détection des Dysfonctionnements sur des Bioprocédés

Abstract : This thesis proposes an original method to estimate states in non-linear discrete-time systems with global convergence properties. The method is based on an Interval Moving Horizon State Estimation Method (IMHSE), which is coupled to a technique of global optimisation of nonlinear functions that uses interval arithmetic. In other words, the principal idea is to transform the problem of state estimation from a dynamic system into a static problem of global nonlinear optimisation over a considered time horizon by interval analysis. Offline measures or delayed measures can be easily used in this interval observer to reconstruct the state variables that are described using a representation by interval numbers. The work also considers model fault detection by a multimodel IMHSE (as an extra property given to our observer). The goal of this multimodel observer approach is to detect dynamic variations of the involved model parameters in time. These variations are taken into account using several different models that are commuted and used by our interval observer to reconstruct the states of the system. Put simply, this approach consists of using a model for the nominal dynamic state(s) and other models to describe situations of anomalous working (perturbed parameters). The algorithm allows us to know on line which model best describes the behaviour of the system. The proposed technique is applied to biotechnological complex process models such as solid substrate fermentation, and to bioprocesses described by a hybrid model. The results obtained through experimental and computer simulation demonstrate that this kind of estimator has advantages over other observers and filters, and that it can be easily implemented in an industrial context.
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Héctor-Moisés Valdes-Gonzalez. Contribution à l'Estimation d'Etat à Horizon Glissant par Méthodes Ensemblistes : Applications à la Surveillance et Détection des Dysfonctionnements sur des Bioprocédés. Automatique / Robotique. Université Joseph-Fourier - Grenoble I, 2002. Français. ⟨tel-00198362⟩

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