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}
}
References
- Byrnes, C. I., Isidori, A. & Willems, J. C. Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems. IEEE Trans. Automat. Contr. 36, 1228–1240 (1991) – 10.1109/9.100932
- ortega, Interconnection and Damping Assignement Passivit-Based Control A Survey European Journal of Control (2003)
- Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38, 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
- malaterre, multivariable predictive control of irrigation canals. Proceedings of the International Workshop on the Regulation of Irrigation Canals RIC’97) (1997)
- SAWADOGO, S., MALATERRE, P. O. & KOSUTH, P. Multivariate optimal control for on-demand operation of irrigation canals. International Journal of Systems Science 26, 161–178 (1995) – 10.1080/00207729508929029
- van der schaft, Springer-Verlag London (2000)
- Hamroun, B., Lefevre, L. & Mendes, E. Port-based modelling and geometric reduction for open channel irrigation systems. 2007 46th IEEE Conference on Decision and Control 1578–1583 (2007) doi:10.1109/cdc.2007.4434237 – 10.1109/cdc.2007.4434237
- cunge jr, Practical Aspects of Computational River Hydraulics (1980)
- chow, Open channel hydraulics (1985)
- dulhoste, nonlinear control of water flow dynamics by input-output linearization based on collocation model. Proceedings of the European Control Conference ECC (2001)
- bossavit, Computational Electromagnetism (1998)
- van der schaft, hamiltonian discretization of the the telegrapher’s equation. Automatica (2004)
- van der Schaft, A. J. & Maschke, B. M. Hamiltonian formulation of distributed-parameter systems with boundary energy flow. Journal of Geometry and Physics 42, 166–194 (2002) – 10.1016/s0393-0440(01)00083-3
- ouarit, robust optimal control of one-reach open-channels. Proc of European Control Conference ECC (2003)
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