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| HAL : hal-00723246, version 1 |
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| A new method for the reconstruction of unknown non-monotonic growth functions in the chemostat |
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Jan Sieber 1Alain Rapaport 2, 3 |
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| (14/05/2012) |
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| We propose an adaptive control law that allows one to identify unstable steady states of the open-loop system in the single-species chemostat model without the knowledge of the growth function. We then show how to use a continuation method to reconstruct the whole graph of the growth function. Two variants, in continuous and discrete time, are presented. The case of two species in competition is also examined. |
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| 1 : | College of Engineering, Mathematics and Physical Sciences (CEMPS) |
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University of Exeter, U.K. |
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| 2 : | MODEMIC (INRIA Sophia Antipolis) |
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INRIA – Institut national de la recherche agronomique (INRA) |
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| 3 : | Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie (MISTEA) |
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Institut national de la recherche agronomique (INRA) |
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| 4 : | SISYPHE (SIgnals and SYstems in PHysiology and Engineering) (INRIA Rocquencourt) |
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INRIA |
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| 5 : | Centre for Robotics and Neural Systems (CRNS) |
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Plymouth University, U.K. |
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| Domaine | : | Mathématiques/Optimisation et contrôle |
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| chemostat – adaptive control – identification |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00723246, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00723246 | |
| oai:hal.archives-ouvertes.fr:hal-00723246 | |
| Contributeur : Alain Rapaport | |
| Soumis le : Mercredi 8 Août 2012, 15:41:11 | |
| Dernière modification le : Mercredi 8 Août 2012, 21:07:41 | |
