Passivity based control of a reduced port-controlled hamiltonian model for the shallow water equations

Authors

Boussad Hamroun, Laurent Lefevre, Eduardo Mendes

Abstract

In this paper an extension of an existing reduced port-controlled hamiltonian (PCH) model for the shallow water equations (PDEs) is first proposed. It aims at a new definition for the passive boundary port-variables which allows the application of a passivity-based approach to control the water flows and levels profiles in irrigation channel reaches. Then a control law based on the Interconnection and Damping Assignment Passivity Based Control (IDA-PBC) methodology is developed. It allows to assign desired structure and energy function to the closed loop system. Simulation results made on a micro-channel simulator are presented, showing the effectiveness of the control law.

Citation

• Journal: 2008 47th IEEE Conference on Decision and Control
• Year: 2008
• Volume:
• Issue:
• Pages: 3917–3922
• Publisher: IEEE
• DOI: 10.1109/cdc.2008.4739210

BibTeX

@inproceedings{Hamroun_2008,
  title={{Passivity based control of a reduced port-controlled hamiltonian model for the shallow water equations}},
  DOI={10.1109/cdc.2008.4739210},
  booktitle={{2008 47th IEEE Conference on Decision and Control}},
  publisher={IEEE},
  author={Hamroun, Boussad and Lefevre, Laurent and Mendes, Eduardo},
  year={2008},
  pages={3917--3922}
}

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References

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