Constrained Predictive Control of an Irrigation Canal
Publication: Journal of Irrigation and Drainage Engineering
Volume 139, Issue 10
Abstract
This paper presents the application of a distributed model predictive controller (DMPC) to the control of an accurate model of an actual irrigation canal in Spain. The canal is modeled using the Saint-Venant equations and implemented using the well-known Simulation of Irrigation Canals (SIC) modeling software for irrigation canals. The DMPC algorithm has been implemented in Matlab and interfaced to SIC. In the distributed-control algorithms, the local controllers exchange information so that their control policies are optimal in the sense of getting the best value of a performance index. The results show that the proposed distributed-control algorithm obtains better control performance than a more-conventional decentralized control scheme without information exchange. This better performance translates directly into money and resource savings.
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References
Begovich, O. (2007). “Predictive control with constraints of a multi-pool irrigation canal prototype.” Lat. Am. Appl. Res., 37.
Begovich, O., Aldana, C., Ruiz, V., Georges, D., and Besançon, G. (2004). “Real-time predictive control with constraints of a multi-pool open irrigation canal.” Proc. of the XI Congreso Latinoamericano de Control Automatico, CLCA2004, La Habana, Cuba.
Camacho, E. F., and Bordons, C. (2004). Model predictive control, 2nd Ed., Springer, New York.
Cellier, F. E., and Greifeneder, J. (1991). Continuous system modeling, Springer, Berlin, Germany.
Clarke, D., Mohtadi, C., and Tuffs, P. (1987). “Generalized predictive control–Part I: The basic algorithm.” Automatica, 23(2), 137–148.
Gómez, M., Rodellar, J., and Mantecón, J. A. (2002). “Predictive control method for decentralized operation of irrigation canals.” Appl. Math. Model., 26(11), 1039–1056.
Johansson, R. (1993). System modelling and identification, Prentice Hall, New York.
Landau, I. D., and Landau, Y. D. (1990). System identification and control design, Prentice Hall, New York.
Lemos, J., Machado, F., Nogueira, N., Rato, L., and Rijo, M. (2009). “Adaptive and non-adaptive model predictive control of an irrigation channel.” Netw. Heterog. Media, 4(2), 303–324.
Li, Y., and Cantoni, M. (2008). “Distributed controller design for open water channels.” Proc. of the 17th IFAC World Congress, Seoul, Korea.
Li, Y., and De Schutter, B. (2010). “Performance analysis of irrigation channels with distributed control.” 2010 IEEE Int. Conf. on Control Applications (CCA), 2148–2153.
Maestre, J., de la Peña, D. M., and Camacho, E. F. (2011). “Distributed model predictive control based on a cooperative game.” Optim. Contr. Appl. Met., 32(2), 153–176.
Malaterre, P., and Rodellar, J. (1997). “Multivariable predictive control of irrigation canals. Design and evaluation on a 2-pool model.” Proc. of the Int. Workshop on Regulation of Irrigation Canals, Marrakech, Morocco.
Malaterre, P., Rogers, D., and Schuurmans, J. (1998). “Classification of canal control algorithms.” J. Irrig. Drain. Eng., 124.
Negenborn, R., Overloop, P., Keviczky, T., and Shutter, B. D. (2009). “Distributed model predictive control of irrigation canals.” Netw. Heterog. Media, 4(2), 359–380.
Ogata, K. (2010). Modern control engineering, 5th Ed., Prentice Hall.
Ooi, S., and Weyer, E. (2008). “Control design for an irrigation channel from physical data.” Control Eng. Pract., 16(9), 1132–1150.
Rodellar, J., Gómez, M., and Bonet, L. (1993). “Control method for on-demand operation of open-channel flow.” J. Irrig. Drain. Eng., 119(2), 225–241.
Sawadogo, S., Faye, R., Benhammou, A., and Akouz, K. (2000). “Decentralized adaptive predictive control of multi-reach irrigation canal.” 2000 IEEE Int. Conf. on Systems, Man, and Cybernetics, Vol. 5, 3437–3442.
Sawadogo, S., Faye, R., Malaterre, P., and Mora-Camino, F. (1998). “Decentralized predictive controller for delivery canals.” 1998 IEEE Int. Conf. on Systems, Man, and Cybernetics, Vol. 4, 3880–3884.
Schuurmans, J., Clemmens, A., Dijkstra, S., Hof, A., and Brouwer, R. (1999). “Modeling of irrigation and drainage canals for controller design.” J. Irrig. Drain. Eng., 125(6), 338–344.
Sepulveda, C. (2007). “Instrumentation, model identification and control of an experimental irrigation canal.” Ph.D. thesis, Univ. Politécnica de Cataluña, Barcelona, Spain.
Silva, P., Boto, M. A., Figueiredo, J., and Rijo, M. (2007). “Model predictive control of an experimental water canal.” Proc. of the European Control Conf., Kos, Greece, 2977–2984.
Simulation of Irrigation Canals (SIC) 4.32 [Computer software]. Cemagref-Montpellier, France.
Tricaud, C., and Chen, Y. Q. (2007). “Cooperative control of water volumes of parallel ponds attached to an open channel based on information consensus with minimum diversion water loss.” Int. Conf. on Mechatronics and Automation, 3283–3288.
van Overloop, P. (2006). “Model predictive control on open water systems.” Ph.D. thesis, TU Delft, Netherlands.
Wahlin, B. T. (2004). “Performance of model predictive control on asce test canal 1.” J. Irrig. Drain. Eng., 130(3), 227–238.
Zafra-Cabeza, A., Maestre, J., Ridao, M. A., Camacho, E. F., and Sánchez, L. (2011). “A hierarchical distributed model predictive control approach to irrigation canals: A risk mitigation perspective.” J. Process Control, 21(5), 787–799.
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© 2013 American Society of Civil Engineers.
History
Received: Sep 20, 2012
Accepted: Apr 1, 2013
Published online: Apr 3, 2013
Discussion open until: Sep 3, 2013
Published in print: Oct 1, 2013
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