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SYNTHÈSES D'OBSERVATEURS A ENTREES INCONNUES POUR LES SYSTÈMES NON LINEAIRES

Fenglong Liu 1
1 Equipe Automatique - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
Abstract : The presented work in this thesis concerns the synthesis of high gain observer for the classes of non-linear MIMO systems. The major part of this work refers to solve the problem of observer's synthesis for the non-linear MIMO systems with unknown inputs. In addition, we present a large class of uniformly observable system (without unknown inputs) such that the high gain observer's synthesis is proposed. We considered a canonical observable form in which the unknown inputs intervene not only in the dynamic of states but also in the expression of outputs for the synthesis of unknown input observer. The synthesis was made under certain sufficient conditions which have been formulated so that the proposed observers allow: - to estimate the whole states of the system as well as the unknown inputs when such hypothesis which stipulates that the dynamics of these inputs are uniformly bounded by the unknown function is adopted. - to estimate only the unmeasurable states of the system, in the absence of any hypothesis concerning the unknown inputs. Our contribution in term of synthesis of standard observers consists in proposing a high gain observer for a class of systems which includes, to the best of our knowledge, all the classes of uniformly observable non- linear MIMO systems considered in the literature for observer's synthesis. The different theoretical results are illustrated by several examples in simulation. The last chapter is dedicated in particular to the use of the unknown inputs observer to estimate the substrate's concentrations and the reaction rates in the biochemical reactors. Keywords: high gain observer, unknown inputs observer, non linear observer, non linear MIMO system, uniformly observable system, biochemical reactor.
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Submitted on : Thursday, February 28, 2008 - 10:02:39 AM
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Fenglong Liu. SYNTHÈSES D'OBSERVATEURS A ENTREES INCONNUES POUR LES SYSTÈMES NON LINEAIRES. Automatique / Robotique. Université de Caen, 2007. Français. ⟨tel-00259428⟩

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