Commande h∞ à base de modèles non entiers

Abstract : The general theme of the work enables to extend H∞ control methodology to fractional order models. Two approaches are proposed. The first one consists in rewriting the fractional order model as an uncertain integer order model in order to use existing H∞ control methods for integer order models. The second approach consists in developing specific LMI conditions for fractional order models based on their pseudo state space representation. These two approaches are applied to the vibratory isolation of a bridge.
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Lamine Fadiga. Commande h∞ à base de modèles non entiers. Physique [physics]. Université de Bordeaux, 2014. Français. ⟨NNT : 2014BORD0090⟩. ⟨tel-01176378⟩

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