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Contributions à l'identification enesembliste ellipsoïdale

Abstract : This work deals with the membership set estimation techniques based upon an unknown but bounded error. Only the ellipsoidal approach has been considered here. In this particular context, a realistic evaluation of the bound based upon an analysis of the kurtosis number of the error sequence has been proposed. A unified approach of the different algorithms has been given, which leads to a numerically stable implementation. Note that nearly all published algorithms do not possess this fundamental property. The convergence analysis of these estimation techniques requires the well-known persistent excitation property. A algorithmic evaluation of this persistency hypothesis of the input has been proposed and a way to built such an input in this particular context is exhibited. Lastly, the compromise between a suboptimal sequential algorithm and an optimal global but numerically unrealistic has been studied ; the different results are illustrated thanks to some simulated data but also with some real data from industrial applications.
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Submitted on : Friday, September 14, 2007 - 3:57:40 PM
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  • HAL Id : tel-00168416, version 1



Khoi Quoc Tran Dinh. Contributions à l'identification enesembliste ellipsoïdale. Automatique / Robotique. Institut National Polytechnique de Grenoble - INPG, 2005. Français. ⟨tel-00168416⟩



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