Automatic Downstream Water-Level Feedback Control of Branching Canal Networks: Theory
This article is a reply.
VIEW THE ORIGINAL ARTICLEThis article has a reply.
VIEW THE REPLYPublication: Journal of Irrigation and Drainage Engineering
Volume 132, Issue 3
Abstract
Most of the research on the design of feedback controllers for irrigation canals has been concentrated on single, in-line canals with no branches. Because the branches in a network are hydraulically coupled with each other, it may be difficult to automatically control a branching canal network by designing separate feedback controllers for each branch and then letting them run simultaneously. Thus feedback control of an entire branching canal system may be more efficient if the branching flow dynamics are explicitly taken into account during the feedback controller design process. This paper develops two different feedback controllers for branching canal networks. The first feedback controller was developed using linear quadratic regulator theory and the second using model predictive control. Both algorithms were able to effectively control a simple branching canal network example with relatively small flow changes.
Get full access to this article
View all available purchase options and get full access to this article.
References
Åström, K. J., and Wittenmark, B. (1997). Computer-controlled systems: Theory and design, 3rd Ed., Prentice-Hall, Upper Saddle River, N.J.
Balogun, O. S., Hubbard, M., and DeVries, J. J. (1988). “Automatic control of canal flow using linear quadratic regulator theory.” J. Hydraul. Eng., 114(1), 75–102.
Burt, C. M., and Piao, X. (2002). “Advances in PLC-based canal automation.” Proc., Conf. of the United States Committee on Irrigation and Drainage on Energy, Climate, Environment and Water: Issues and Opportunities for Irrigation and Drainage, U.S. Committee on Irrigation and Drainage, San Luis Obispo, Calif., and U.S. Committee on Irrigation and Drainage, Denver, 409–421.
Camacho, E. F., and Bordons, C. (1999). Model predictive control, Springer, London.
Clarke, D. W. (1994). Advances in model-based predictive control, D. W. Clarke, ed., Oxford University Press, New York, 3–21.
Clemmens, A. J., Kacerek, T. F., Grawitz, B., and Schuurmans, W. (1998). “Test cases for canal control algorithms.” J. Irrig. Drain. Eng., 124(1), 23–30.
Clemmens, A. J., and Schuurmans, J. (2004). “Simple optimal downstream feedback canal controllers: Theory.” J. Irrig. Drain. Eng., 130(1), 26–34.
Clemmens, A. J., Strand, R. J., and Bautista, E. (2005). “Field testing of SacMan automated canal control system.” Proc., 3rd Int. Conf. of the U.S. Committee on Irrigation and Drainage: Water District Management and Governance, San Diego, U.S. Committee on Irrigation and Drainage, Denver, 199–209.
Clemmens, A. J., and Wahlin, B. T. (2004). “Simple optimal downstream feedback canal controllers: ASCE test case results.” J. Irrig. Drain. Eng., 130(1), 35–46.
Corriga, G., Salembeni, D., Sanna, S., and Usai, G. (1982). “A constant-volume control method for open-channel operation.” Int. J. Model. Simulat., 2, 108–112.
Delft Hydraulics. (2000). SOBEK-flow-module technical reference guide: Version 2.2, Delft Hydraulics, Delft, The Netherlands.
Ermolin, Y. A. (1992). “Study of open-channel dynamics as controlled process.” J. Hydraul. Eng., 118(1), 59–71.
Lee, J. H., Morari, M., and Garcia, C. E. (1994). “State-space interpretation of model predictive control.” Automatica, 30(4), 707–117.
Lewis, F., and Syrmos, V. (1995). Optimal control, 2nd Ed., Wiley, New York.
Malaterre, P. O., Rogers, D. C., and Schuurmans, J. (1998). “Classification of canal control algorithms.” J. Irrig. Drain. Eng., 124(1), 3–10.
Mareels, I., Weyer, E., and Ooi, S. K. (2003). “Irrigation networks: A systems engineering approach.” Proc., 4th IEEE Int. Conf. on Control and Automation, Montréal, IEEE, New York, 9–12.
MathWorks. (2000). MATLAB user’s guide: Version 6, MathWorks, Natick, Mass.
Papageorgiou, M., and Messmer, A. (1985). “Continuous-time and discrete-time design of water flow and water level regulators.” Automatica, 21(6), 649–661.
Pongput, K., and Merkley, G. P. (1997). “Comparison and calibration of canal gate automation algorithms.” J. Irrig. Drain. Eng., 123(3), 222–225.
Reddy, J. M., Dia, A., and Oussou, A. (1992). “Design of control algorithm for operation of irrigation canals.” J. Irrig. Drain. Eng., 118(6), 852–867.
Rogers, D. C., and Goussard, J. (1998). “Canal control algorithms currently in use.” J. Irrig. Drain. Eng., 124(1), 11–15.
Schuurmans, J. (1992). “Controller design for a regional downstream controlled canal.” Rep. No. A668, Laboratory for Measurement and Control, Delft Univ. of Technology, Delft, The Netherlands.
Schuurmans, J., Bosgra, O. H., and Brouwer, R. (1995). “Open-channel flow model approximation for controller design.” Appl. Math. Model., 19, 525–530.
Shinskey, F. G. (1996). Process control systems: Application, design, and adjustment, 4th Ed., McGraw-Hill, New York.
Van Overloop, P. J., Schuurmans, J., Brouwer, R., and Burt, C. M. (2005). “Multiple-model optimization of proportional integral controllers on canals.” J. Irrig. Drain. Eng., 131(2), 190–196.
Wahlin, B. T. (2002). “Remote downstream feedback control of branching canal networks.” Ph.D. dissertation, Dept. of Civil Engineering, Arizona State Univ., Tempe, Ariz.
Wahlin, B. T. (2004). “Performance of model predictive control on ASCE Test Canal 1.” J. Irrig. Drain. Eng., 130(3), 227–238.
Information & Authors
Information
Published In
Copyright
© 2006 ASCE.
History
Received: Sep 20, 2004
Accepted: Feb 28, 2005
Published online: Jun 1, 2006
Published in print: Jun 2006
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.