PILOTE: Linear Quadratic Optimal Controller for Irrigation Canals
Publication: Journal of Irrigation and Drainage Engineering
Volume 124, Issue 4
Abstract
Linear quadratic optimal control theory is applied to the automatic control of two different eight-pool irrigation canals. The model used to design the controller is derived from the Saint-Venant equations discretized through the Preissmann implicit scheme. The linear quadratic closed-loop optimal controller is obtained from steady-state solution of the matrix Riccati equation. A Kalman filter reconstructs the state variables and the unknown perturbations from a reduced number of measured variables. Both perturbation rejection and tracking aspects are incorporated in the controller. Known offtake withdrawals and future targets are anticipated through an open-loop scheme utilizing time varying solutions of the linear quadratic optimization problem. The controller and Kalman filter are tested on a full nonlinear model and prove to be stable, robust, and precise.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Balogun, O. S., Hubbard, M., and DeVries, J. J.(1988). “Automatic control of canal flow using linear quadratic regulator theory.”J. Hydr. Engrg., ASCE, 114(1), 75–102.
2.
Bühler, H. (1983). Réglages échantillonnés, volume 2, traitement dans l'espace d'état. Presses Polytechniques Romandes, Lausanne, Switzerland.
3.
Corriga, G., Fanni, A., Sanna, S., and Usai, G.(1982a). “A constant-volume control method for open channel operation.”Int. J. Modeling and Simulation, 2(2), 108–112.
4.
Corriga, G., Sanna, S., and Usai, G. (1982b). “Sub-optimal level control of open-channels.”Proc. Int. AMSE Conf. Modelling and Simulation, G. Mesnard, ed., Vol. 2, Association for the Advancement of Modelling and Simulation Techniques in Enterprise, France, 67–72.
5.
Garcia, A., Hubbard, M., and DeVries, J. J.(1992). “Open channel transient flow control by discrete time LQR methods.”Automatica, 28(2), 255–264.
6.
Kacerek, T. F., Clemmens, A., and Sanfilippo, F. (1995). “Test cases for canal control algorithms with examples.”1st Int. Conf. on Water Resour. Engrg., ASCE.
7.
Khaladi, A. (1992). “Gestion automatique des transferts d'eau en réseaux hydrauliques maillés à surface libre; applicatioin au réseau des wateringues,” PhD thesis, Ecole Centrale de Lyon, Cemagref, Lyon, France.
8.
Kosuth, P. (1994). “Techniques de régulation automatique des systèmes complexes: application aux systèmes hydrauliques à surface libre,” Thèse de Doctorat, Institut National Polytechnique de Toulouse, Cemagref, LAAS CNRS, Montpellier, France.
9.
Kwakernaak, H., and Sivan, R. (1972). Linear optimal control systems. Wiley-Interscience, New York, N.Y.
10.
Larminat, P. (1993). Automatique—Commande des systèmes linéaires. Hermès, Paris, France.
11.
Liu, F., Malaterre, P. O., Baume, J. P., Kosuth, P., and Feyen, J. (1995). “Evaluation of a canal automation algorithm CLIS.”1st Int. Conf. on Water Resour. Engrg., ASCE.
12.
Malaterre, P. O. (1994). “Modelisation, analysis and LQR optimal control of an irrigation canal,” PhD thesis, LAAS-CNRS-ENGREF-Cemagref, Etude EEE No. 14, Paris, France.
13.
Malaterre, P. O. (1995a). “La régulation des canaux d'irrigation: caractérisation et classification.”J. Houille Blanche, 5/6, 17–35.
14.
Malaterre, P. O. (1995b). “PILOTE: optimal control of irrigation canals.”1st Int. Conf. on Water Resour. Engrg., Irrig. and Drain., ASCE.
15.
Malaterre, P. O.(1995c). “Regulation of irrigation canals: characterisation and classification.”Int. J. Irrig. and Drain. Sys., 9(4), 297–327.
16.
Malaterre, P. O., Rogers, D. C., and Schuurmans, J. (1995). “Classification of canal control systems.”1st Int. Conf. on Water Resour. Engrg., Irrig. and Drain., ASCE.
17.
MatLab & Simulink: A program for simulating dynamic systems. (1992). MathWorks Inc., Natick, Mass.
18.
Reddy, J. M., Dia, A., and Oussou, A.(1992). “Design of control algorithm for operation of irrigation canals.”J. Irrig. and Drain. Engrg., ASCE, 118(6), 852–867.
19.
Sawadogo, S., Malaterre, P. O., and Kosuth, P.(1995). “Multivariable optimal control for on-demand operation of irrigation canals.”Int. J. of Sys. Sci., 26(1), 161–178.
20.
SIC user's guide and theoretical concepts. (1992). Cemagref, Montpellier, France.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Jul 1, 1998
Published in print: Jul 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.