Boundary control of nonlinear distributed parameters port-Hamiltonian models for the shallow water dynamics

Abstract : The port-controlled Hamiltonian formulation for classical hyperbolic systems is first recalled. It is applied to the classical Shallow Water equations used to model the free-surface water dynamics in open-air channels or rivers. Then an “energy shaping” control law suggested by a geometrically reduced mixed finite elements model is derived. It is shown how this control law is independent from the order of the reduced model. A Casimir invariant based energy shaping method for distributed parameter port Hamiltonian systems is developed and used to prove the stability of the desired equilibrium water flow and water levels profiles when the suggested boundary control law is applied directly to the infinite dimensional system.
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Article dans une revue
International Review of Automatic Control (IREACO), 2009, 2 (3), pp. 286-299
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https://hal.archives-ouvertes.fr/hal-00394842
Contributeur : Eduardo Mendes <>
Soumis le : vendredi 12 juin 2009 - 15:51:02
Dernière modification le : jeudi 7 février 2019 - 16:42:53

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  • HAL Id : hal-00394842, version 1

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Alexandru Dimofte, Boussad Hamroun, Laurent Lefèvre, Eduardo Mendes. Boundary control of nonlinear distributed parameters port-Hamiltonian models for the shallow water dynamics. International Review of Automatic Control (IREACO), 2009, 2 (3), pp. 286-299. 〈hal-00394842〉

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