Evolutionary algorithm-based fuzzy PD control of spillway gates of dams. (English) Zbl 1167.93018

Summary: An Evolutionary Algorithm (EA)-based fuzzy Proportional-Derivative (PD)-type controller is employed to reservoir control of dams with the purpose of operating spillway gates during any flood of any magnitude, which is not predictable beforehand. EA is used to evolve the main parameters of the fuzzy PD controller. The use of the EA, in conjunction with a systematic neighborhood structure for the determining of fuzzy rule-base parameters, leads to a significant improvement in the performance of the controller. The major objective of the controller is to achieve better system performance over the conventional control methods. In order to demonstrate the high performance of the presented method, we simulate the control system using different probable inflow hydrographs of various magnitudes. The simulation results indicate that the EA-based fuzzy PD controller not only performs an accurate and efficient solution, but also exhibits more desirable and reliable results than the conventional approaches.


93C42 Fuzzy control/observation systems
90C59 Approximation methods and heuristics in mathematical programming
93C95 Application models in control theory
Full Text: DOI


[1] Udall, S. L., Design of Small Dams (1961), United States Department of the Interior, Bureau of Reclamation: United States Department of the Interior, Bureau of Reclamation Washington
[2] Windsor, J. S., Optimization model for the operation of flood control systems, Water Resour. Res., 9, HY5, 1219-1226 (1973)
[3] Can, E. K.; Houck, M. H., Real-time reservoir operations by goal programming, J. Water Resour. Plann. Manag. ASCE, 110, 3, 297-309 (1984)
[4] Yeh, W., Reservoir management and operations models: a state of the art review, Water Resour. Res., 21, 12, 1797-1818 (1985)
[5] Karamouz, M.; Houck, M. H., Comparison of stochastic and deterministic dynamic programming for reservoir operating rule generation, Water Resour. Bull., 23, 1, 1-9 (1987)
[6] Simonovic, S. P., Reservoir systems analysis: closing gap between theory and practice, J. Water Resour. Plann. Manag. ASCE, 118, 3, 262-280 (1992)
[7] Wurbs, R. A., Reservoir system simulation and optimization models, J. Water Resour. Plann. Manag. ASCE, 119, 4, 455-472 (1993)
[8] Ozelkana, E. C.; Galambosia, A.; Gaucheranda, E. F.; Ducksteina, L., Linear quadratic dynamic programming for water reservoir management, Appl. Math. Modell., 21, 9, 591-598 (1997)
[9] Oshimaa, N.; Kosudaa, T., Distribution reservoir control with demand prediction using deterministic-chaos method, Water Sci. Technol., 37, 12, 389-395 (1998)
[10] Liong, S.; Lim, W.; Kojiri, T.; Hori, T., Advance flood forecasting for flood stricken Bangladesh with a fuzzy reasoning method, Hydrol. Proc., 14, 431-448 (2000)
[11] Chang, L.; Chang, F., Intelligent control for modelling of real-time reservoir operation, Hydrol. Proc., 15, 1621-1634 (2001)
[12] Haktanir, T.; Kisi, O., Ten-stage discrete flood routing for dams having gated spillways, J. Hydrol. Eng., ASCE, 6, 1, 86-90 (2001)
[13] Karaboga, D.; Bagis, A.; Haktanir, T., Fuzzy logic based operation of spillway gates of reservoirs during floods, J. Hydrol. Eng., 9, 6, 544-549 (2004)
[14] Ross, T. J., Fuzzy Logic with Engineering Applications (1995), McGraw-Hill: McGraw-Hill New York · Zbl 0855.93003
[15] Pham, D. T.; Karaboga, D., Intelligent Optimization Techniques: Genetic Algorithms, Tabu Search, Simulated Annealing and Neural Networks (2000), Springer: Springer Berlin · Zbl 0986.90001
[16] Bagis, A., Fuzzy and PD controller based intelligent control of spillway gates of dams, J. Intell. Fuzzy Syst., 14, 25-36 (2003) · Zbl 1049.93542
[17] Bagis, A.; Karaboga, D., Artificial neural networks and fuzzy logic based control of spillway gates of dams, Hydrol. Proc., 18, 2485-2501 (2004)
[18] Fogel, L. J.; Owens, A. J.; Walsh, M. J., Artificial Intelligence through Simulated Evolution (1966), Wiley: Wiley New York · Zbl 0148.40701
[19] Rechenberg, I., Evolutionsstrategie: Optimierung Technischer Systeme Nach Prinzipien der Biologischen Evolution (1973), Frommann-Holzboog: Frommann-Holzboog Germany
[20] Holland, J. H., Adaptation in Natural and Artificial Systems (1975), University of Michigan Press: University of Michigan Press Ann Arbor, MI
[21] Fogel, D. B., Evolutionary Computation: Toward a New Philosophy of Machine Intelligence (1995), IEEE Press: IEEE Press Piscataway, NJ
[25] Bagis, A., Determining fuzzy membership functions with tabu search—an application to control, Fuzzy Sets and Systems, 139, 1, 209-225 (2003) · Zbl 1023.93504
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