Continuous-time and discrete-time design of water flow and water level regulators. (English) Zbl 0592.93003

Using classical methods of linear control theory some aspects of water flow and water level control are analyzed. Mathematical models of the detention reservoir, the regulator gate and the sewer are established with the help of the new literature in this field. Based on these models, some criteria of performance are analyzed: stability, unit step responses etc. These results and an illustrative example are very important for the design of many water resources, of water distributions and of sewer control systems.
Reviewer: S.Chiriacescu


93A15 Large-scale systems
90B10 Deterministic network models in operations research
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
93C99 Model systems in control theory
93C57 Sampled-data control/observation systems
Full Text: DOI


[1] Ackermann, J., (Abtastregelung (1972), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0254.93026
[2] Ackermann, J., Einführung in die Theorie der Beobachter, Regelungstechnik, 24, 217 (1976)
[3] Bretschneider, H.; Lecher, K.; Schmidt, M., (Taschenbuch der Wasserwirtschaft (1982), Verlag Paul Parey: Verlag Paul Parey Hamburg)
[4] Fahrner, H., Planung von Regenbecken-Abflußsteuerungen unter Verwendung des “automatischen” Drosselschiebers, Abwassertechnik, 30, 9 (1979)
[5] Labadie, J. W.; Grigg, N. S.; Bradford, B. H., Automatic control of large-scale combined sewer systems, (Proc. ASCE J. Environ. Engng Div., 101 (1975)), 27
[6] Lighthill, M. J.; Whitham, G. B., On kinematic waves I: Flood movement on long rivers, (Proc. R. Soc. Lond., 229 (1955)), 281, Ser. A · Zbl 0064.20905
[7] Mays, L. W.; Tung, Y.-K., State variable model for sewer network flow routing, (Proc. ASCE J. Environ. Engng Div., 104 (1978)), 15
[8] Papageorgiou, M., Automatic control strategies for combined sewer systems, (Proc. ASCE J. Environ. Engng Div., 109 (1983)), 1385
[9] Papageorgiou, M., Optimal control of large-scale combined sewer systems, (Preprints 3rd IFAC/IFORS Symp. on Large Scale Systems. Preprints 3rd IFAC/IFORS Symp. on Large Scale Systems, Warsaw, Poland (1983)), 387-393 · Zbl 1073.91005
[10] Papageorgiou, M., Optimal control of generalized flow networks, (Thoft-Christensen, P., System Modelling and Optimization, Proc. 11th IFIP Conf. (1984), Springer-Verlag: Springer-Verlag Berlin), 373-382 · Zbl 0566.90030
[11] Schmidt, G., (Grundlagen der Regelungstechnik (1982), Springer-Verlag: Springer-Verlag Berlin)
[12] Verworn, W., (Hydrodynamische Kanalnetzberechnung und die Auswirkungen von Vereinfachungen der Berechnungsgleichungen, 47 (1980), Mitteilungen des Instituts für Wasserwirtschaft, Hydrologie und landwirtschaftlichen Wasserbau der Universität Hannover), 177-326
[13] Wanka, K.; Königer, W., Unsteady flow simulation in complex drainage systems by the HVM-Hydrograph Volume Method, (Proc. 1st Int. Conf. Channels and Channel Control Struct.. Proc. 1st Int. Conf. Channels and Channel Control Struct., Southampton, U.K. (1984)), 5.17-5.31
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