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Contribution à l'identification des systèmes à retards et d'une classe de systèmes hybrides

Abstract : This PhD thesis concerns the problem of identification of the delays systems and the continuous-time systems subject to impulsive terms.Firstly, a fast identification algorithm is proposed for systems with delayed inputs. It is based on a non-asymptotic distributional estimation technique initiated in the framework of systems without delay. Such technique leads to simple realization schemes, involving integrators, multipliers andContribution to the identification of time delays systems and a class of hybrid systems piecewise polynomial or exponential time functions. Thus, it allows for a real time implementation. In order to introduce a generalization to systems with input delay, three simple examples are presented.The second part deals with on-line identification of continuous-time systems subject to impulsive terms. Using a distribution framework, a scheme is proposed in order to annihilate singular terms in differential equations representing a class of impulsive systems. As a result, an online estimation of unknown parameters is provided, regardless of the switching times or the impulse rules. Numerical simulations of simple pendulum subjected to dry friction are illustrating our methodology
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https://tel.archives-ouvertes.fr/tel-00587336
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Kaouther Ibn Taarit. Contribution à l'identification des systèmes à retards et d'une classe de systèmes hybrides. Autre. Ecole Centrale de Lille, 2010. Français. ⟨NNT : 2010ECLI0023⟩. ⟨tel-00587336v2⟩

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