TECHNICAL PAPERS
Sep 1, 2008

Nonlinear Observer-Based Feedback for Open-Channel Level Control

Publication: Journal of Hydraulic Engineering
Volume 134, Issue 9

Abstract

This paper is devoted to nonlinear observer and controller design for water level control of open-channel flow in irrigation canals or dam-river systems. A finite-dimensional model, previously developed by orthogonal collocation methods, based on Saint Venant equations and used for control design, is now further used for online flow rate and water infiltration estimation. This is done by a so-called state observer. In particular, the estimates obtained in this way can successfully be used in a controller previously proposed, resulting in a water level control law using only two level measurements along the canal (instead of the four measurements previously needed). The study is restricted to the case of a rectangular wetted section and subcritical flow. The results have been validated by simulations, on an implicit finite difference simulator based on a Preissmann scheme for various scenarios.

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References

Bornard, G., and Hammouri, H. (1991). “A high gain observer for a class of uniformly observable system.” IEEE CDC Conf., Brighton, England.
Baume, J. P., and Malaterre, P. O. (1997). “SIC. Simulation des canaux d’irrigation.” Vol. II guide théorique, CEMAGREF, Division Irrigation.
Colley, R. L., and Moin, S. A. (1976). “Finite element solution of Saint Venant equations.” J. Hydr. Div., 102, 759–775.
Dulhoste, J.-F. (2001). “Contribution à la commande non linéaire de systèmes d’irrigation.” Thèse de doctorat de l’Institut National Polytechnique de Grenoble, November 2001 (in French).
Dulhoste, J.-F., Georges, D., and Besançon, G. (2004). “Nonlinear control of open-channel water flow based on collocation control model.” J. Hydraul. Eng., 130(3), 254–266.
Dulhoste, J.-F., Jerez, C., Georges, D., and Besançon, G. (2006). “Técnica de control no lineal de nivel de agua para un sistema de canales abiertos de dos tramos.” Ciencia e Ingenieria, 27(1), 39–46 (in Spanish).
Fletcher, C. A. J. (1984). “Computational Galerkin methods.” Springer Series in Computational Physics, Springer, N.Y./Berlin/Heidelberg.
Gauthier, J. P., Hammouri, H., and Othman, S. (1992). “A simple observer for nonlinear systems—Application to bioreactors.” IEEE Trans. Autom. Control, 37(6), 875–880.
Georges, D., Dulhoste, J.-F., and Besançon, G. (2000). “Modelling and control of water flow dynamics via a collocation model.” MTNS2000, Perpignan, France.
Georges, D., and Litrico, X. (2002). Automatique pour la gestion de resources en eau., Hermes Science Publication, Lavoisier, Paris.
Graf, W. H., and Altinakar, M. S. (1993). Hydraulique fluviale, Collection traité de génie civil, Ecole polytechnique fédérale de Lausanne, Presses polytechniques et universitaires Romandes.
Isidori, A. (1995). Nonlinear control systems, Springer, Berlin, 3rd Ed.
Kailath, T. (1980). Linear systems. Prentice-Hall, Englewood Cliffs, N.J.
Malaterre, P. O. (1994). “Modélisation, analyse et commande optimale LQR d’un canal d’irrigation.” Ph.D. thesis, LAAS-CNRS-ENGREF-Cemagref.
Strelkoff, T. (1970). “Numerical solution of Saint Venant equation.” J. Hydr. Div., 96(HY1), 223–252.
Teel, A., and Praly, L. (1994). “Global stabilizability and observability imply semi-global stabilizability by output feedback.” Syst. Control Lett., 22, 313–325.
Villadsen, J. V., and Michelsen, M. L. (1978). “Solution of differential equations models by polynomial approximation.” Prentice-Hall, Englewood Cliffs, N.J.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 134Issue 9September 2008
Pages: 1267 - 1274

History

Received: Sep 19, 2006
Accepted: Jan 18, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008

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Authors

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Gildas Besançon [email protected]
Département d’Automatique (Former Laboratoire d’Automatique de Grenoble), GIPSA-lab, BP 46, 38402 Saint Martin d’Hères cedex, France. E-mail: [email protected]
Jean-François Dulhoste [email protected]
Departamento de Ciencias Térmicas. Escuela de Ingeniería Mecánica. Facultad de Ingeniería. Núcleo la Hechicera. Universidad de Los Andes. 5101 Mérida Venezuela. E-mail: [email protected]
Didier Georges [email protected]
Département d’Automatique (Former Laboratoire d’Automatique de Grenoble), GIPSA-lab, BP 46, 38402 Saint Martin d’Hères cedex, France. E-mail: [email protected]

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