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Systèmes à retards : platitude en génie des procédés et contrôle de certaines équations des ondes

Abstract : The work presented here stands in the field of control of systems. It relies on the recent theory of flatness. We present industrial realizations in process control and theoretical results in the field of partial differential equations. At first we detail four industrial applications developed in collaboration with TotalFinaELF. The obtained results underlines the relevance of our flatness-based approach in process control: achievement of large transients, explicit handling of nonlinearities, delays, constraints... Then we consider several physical systems ruled by wave equations. Writing these equations and their boundary conditions as delay systems, we give an explicit parametrization of their trajectories. This shows the flatness of these systems and provides a constructive proof of their controllability. All these examples, where delays play different roles, enlighten both the practical and theoretical importance of the flatness property in the fields of process control and wave equations.
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https://pastel.archives-ouvertes.fr/pastel-00000791
Contributor : Ecole Mines Paristech <>
Submitted on : Friday, August 6, 2010 - 3:35:08 PM
Last modification on : Thursday, September 24, 2020 - 5:04:18 PM
Long-term archiving on: : Monday, November 8, 2010 - 3:18:22 PM

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  • HAL Id : pastel-00000791, version 1

Citation

Nicolas Petit. Systèmes à retards : platitude en génie des procédés et contrôle de certaines équations des ondes. Mathématiques [math]. École Nationale Supérieure des Mines de Paris, 2000. Français. ⟨NNT : 2000ENMP0898⟩. ⟨pastel-00000791⟩

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