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Université d'Orléans |  |
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Université d'Orléans | |
| HAL : hal-00423424, version 1 |
| DOI : 10.1007/s00498-009-0040-9 |
| Fiche détaillée |  Récupérer au format |
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| Mathematics of Control Signals and Systems 21, 2 (2009) 147-170 |
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| Observability analysis by Poincaré normal forms |
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| Latifa Boutat-Baddas 1Driss Boutat 2 |
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| (2009) |
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| This paper deals with quadratic equivalence, normal forms of observability, characteristic matrices and normal quadratic numbers for nonlinear Single-Input Single-Output (SISO) systems. We investigated both cases; nonlinear systems linearly observable and nonlinear systems with one linear unobservable mode. Particularly, the effect of the normal quadratic numbers on the observer design is pointed out. Finally, a faster observability analysis is proposed using characteristic matrices and normal quadratic numbers. Throughout the paper, academic examples as well as bio-reactor example highlight our purpose. |
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| 1 : | Centre de recherche en automatique de Nancy (CRAN) |
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CNRS : UMR7039 – Université Henri Poincaré - Nancy I – Institut National Polytechnique de Lorraine (INPL) |
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| 2 : | Laboratoire Vision et Robotique (LVR) |
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Université d'Orléans – Ecole Nationale Supérieure d'Ingénieurs de Bourges |
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| 3 : | ALIEN (INRIA Saclay - Ile de France/Inria Lille - Nord Europe) |
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INRIA – Polytechnique - X – Ecole Centrale de Lille – CNRS : UMR8146 |
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| Domaine | : | Sciences de l'ingénieur/Automatique / Robotique |
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| Observability – Poincaré's normal form – Observability singularity. |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00423424, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00423424 | |
| oai:hal.archives-ouvertes.fr:hal-00423424 | |
| Contributeur : Michel Zasadzinski | |
| Soumis le : Vendredi 9 Octobre 2009, 17:59:32 | |
| Dernière modification le : Dimanche 11 Octobre 2009, 17:27:10 | |
