Local Optimal Control of Irrigation Canals
Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 5
Abstract
This paper presents a local optimal control technique (control of an individual gate) for operation of an irrigation canal with a single reach. By using the concepts of control theory, an expression for an upstream gate opening of an irrigation canal reach operated based upon a constant‐level control is obtained. In the derivation, the canal reach between two gates is divided into N nodes, and the finite‐difference forms of the continuity and the momentum equations are written for each node. The Taylor series is applied to linearize the equations around the initial steady state or equilibrium conditions. The linearized equations are then arranged to form a set of equations of the form , which is called the state equation in control theory jargon. The linear quadratic regulator theory is applied to derive an expression of the form for the optimal gate opening to bring the system back to the equilibrium condition in the presence of disturbances. The response of the linearized system is simulated in the presence of known constant disturbances and found to be acceptable as long as the disturbances are less than 20% of the original flow rate in the canal reach. The results obtained from the optimal control theory are currently being evaluated using an unsteady open‐channel flow model.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Amorocho, J., and Strelkoff, T. (1965). “Hydraulic transients in the California Aqueduct.” Report 2, California Dept. of Water Resour., Sacramento, Calif.
2.
Balogun, O. (1985). “Design of real‐time feedback control for canal systems using linear‐quadratic regulatory theory,” thesis presented to the University of California, at Davis, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Burt, C. M. (1983). “Regulation of sloping canals by automatic downstream control,” thesis presented to Utah State University, at Logan, Utah, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
4.
Buyalski, C. P., and Serfozo, E. A. (1979). “Electronic filter level offset (EL‐FLOW) plus reset equipment for automatic control of canals.” REC‐ERC‐79–3, Engrg. Res. Ctr., U.S. Bureau of Reclamation, Denver, Colo.
5.
Corriga, G., Sanna, S., and Usai, G. (1982). “Sub‐optimal level control of openchannels.” Proc. Int. AMSE Conf., Paris, France, Jul. 1–3.
6.
Kailath, T. (1980). Linear systems. Prentice‐Hall, Englewood Cliffs, N.J.
7.
Kwakernaak, H., and Sivan, R. (1972). Linear optimal control systems. John Wiley and Sons, New York, N.Y.
8.
Tsao, Y. S. (1981). “Problems and experiences in centralized remote control of irrigation canal systems in Taiwan.” Proc. Eleventh Congress of Int. Commission on Irrig. and Drain., Sep., Grenoble, France.
9.
Wiley, E. B. (1969). “Control of transient free‐surface flow.” J. Hydr. Div., ASCE, 95(1), 347–361.
10.
Zimbelman, D. D. (1981). “Computerized control of an open‐channel water distribution system,” thesis presented to Arizona State University, in Tempe, Ariz., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Information & Authors
Information
Published In
Copyright
Copyright © 1990 ASCE.
History
Published online: Sep 1, 1990
Published in print: Sep 1990
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.