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Grenoble Images Parole Signal Automatique Collection effective à partir du 1er janvier 2007, date de création du laboratoire GIPSA-lab |
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Grenoble Images Parole Signal Automatique Collection effective à partir du 1er janvier 2007, date de création du laboratoire GIPSA-lab |
| HAL : hal-00692041, version 1 |
| DOI : 10.1016/j.automatica.2012.06.025 |
| Fiche détaillée |  Récupérer au format |
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| Automatica 48, 9 (2012) 2244-2251 |
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| Receding Horizon Boundary Control of Nonlinear Conservation Laws with ShockAvoidance |
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| Van Thang Pham 1Didier Georges 1 |
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| (28/12/2012) |
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| This paper deals with the boundary control for scalar non-linear hyperbolic systems of conservation laws. One of the issues arising from these systems is the occurrence of singularities (called shocks) in the domain.We will show that to avoid the shock, a set of constraints on both the control and the state at the boundary has to be ful lled. Then, a proof of the exponential stability of the system is established provided that there is no shock and that the state at the boundary is exponentially stable. These conditions are shown to be achieved by the Receding Horizon Optimal Control approach. A simulation is nally carried out with the freeway tra c model to demonstrate the e ectiveness of the here-proposed control. |
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| 1 : | Grenoble Images Parole Signal Automatique (GIPSA-lab) |
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CNRS : UMR5216 – Université Joseph Fourier - Grenoble I – Université Pierre-Mendès-France - Grenoble II – Université Stendhal - Grenoble III – Institut Polytechnique de Grenoble - Grenoble Institute of Technology |
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| Domaine | : | Sciences de l'ingénieur/Automatique / Robotique |
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| Receding Horizon – Optimal Control – Boundary control – Nonlinear Hyperbolic equation – Conservation laws |
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| hal-00692041, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00692041 | |
| oai:hal.archives-ouvertes.fr:hal-00692041 | |
| Contributeur : Van Thang Pham | |
| Soumis le : Vendredi 27 Avril 2012, 16:59:30 | |
| Dernière modification le : Vendredi 24 Août 2012, 11:28:26 | |
