Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2014, Article ID 197907, 11 pages
http://dx.doi.org/10.1155/2014/197907
Research Article

Discussion on Muskingum versus Integrator-Delay Models for Control Objectives

Automatic Control Department, Technical University of Catalonia (UPC), Pau Gargallo 5, 08028 Barcelona, Spain

Received 25 January 2014; Revised 19 June 2014; Accepted 19 June 2014; Published 14 August 2014

Academic Editor: Guohe Huang

Copyright © 2014 Yolanda Bolea et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. V. T. Chow, Open-Channel Hydraulics, McGraw-Hill, 1959.
  2. M. Gómez, Contribución al estudio del movimiento de variable en lámina libre en las redes de alcantarillado [Ph.D. thesis], UPC, 1988 (Spanish).
  3. J. A. Cunge, F. M. Holly, and A. Verwey, Practical Aspects of Computational River Hydraulics, Pitman Advanced Publishing, 1980.
  4. J. P. Baume and M. Poirson, “Modélisation numérique d'un écoulement permanent dans un réseau hydraulique maillé à surface libre, en régime fluvial,” La Houille Blanche, no. 1-2, pp. 95–100, 1984. View at Google Scholar
  5. A. Garcia, M. Hubbard, and J. J. de Vries, “Open channel transient flow control by discrete time LQR methods,” Automatica, vol. 28, no. 2, pp. 255–264, 1992. View at Publisher · View at Google Scholar · View at Scopus
  6. J. M. Reddy, “Local optimal control of irrigation canals,” Journal of Irrigation and Drainage Engineering, vol. 116, no. 5, pp. 616–631, 1990. View at Publisher · View at Google Scholar · View at Scopus
  7. P. O. Malaterre, Modelisation, analysis and LQR optimal control of an irrigation canal [Ph.D. thesis], CEMAGREF, 1994.
  8. M.-L. Chen, Commande Optimale et Robuste des Équations aux Dérivées Partielles Régissant le Comportement des Systèmes Hydrauliques à Surface Libre [Ph.D. thesis], Institut National Polytechnique de Grenoble, 2001.
  9. P. Pognant-Gros, De la Réduction de Modèles vers la Commande Robuste. Application à la Commande des Canaux d’Irrigation [Ph.D. thesis], Université de Caen, France, 2003.
  10. G. T. McCarthy, The Unit Hydrograph and Flood Routing, U.S. Army Corps of Engineers, North Atlantic Division, New London, Conn, USA, 1938.
  11. A. Das, “Parameter estimation for Muskingum models,” Journal of Irrigation and Drainage Engineering, vol. 130, no. 2, pp. 140–147, 2004. View at Publisher · View at Google Scholar · View at Scopus
  12. G. Corriga, F. Patta, S. Sanna, and G. Usai, “A mathematical model for open-channel networks,” Applied Mathematical Modelling, vol. 3, no. 1, pp. 51–54, 1979. View at Publisher · View at Google Scholar · View at Scopus
  13. G. Corriga, A. Fanni, S. Sanna, and G. Usai, “A constant-volume control method for open channel operation,” International Journal of Modelling and Simulation, vol. 2, no. 2, pp. 108–112, 1982. View at Google Scholar · View at Scopus
  14. M. Papageorgiou and A. Messmer, “Continuous-time and discrete-time design of water flow and water level regulators,” Automatica, vol. 21, no. 6, pp. 649–661, 1985. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  15. M. Papageorgiou and A. Messmer, “Flow control of a long river stretch,” Automatica, vol. 25, no. 2, pp. 177–183, 1989. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. A. Ermolin, “Study of open-channel dynamics as controlled process,” Journal of Hydraulic Engineering, vol. 118, no. 1, pp. 59–72, 1992. View at Publisher · View at Google Scholar · View at Scopus
  17. J. P. Baume, P. O. Malaterre, and J. Sau, “Tuning of PI controllers for an irrigation canal using optimization tools,” in Proceedings of the USCID Workshop on Modernization of Irrigation Water, 1999.
  18. J. Schuurmans, O. H. Bosgra, and R. Brouwer, “Open-channel flow model approximation for controller design,” Applied Mathematical Modelling, vol. 19, no. 9, pp. 525–530, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  19. J. Schuurmans, A. J. Clemmens, S. Dijkstra, A. Hof, and R. Brouwer, “Modeling of irrigation and drainage canals for controller design,” Journal of Irrigation and Drainage Engineering, vol. 125, no. 6, pp. 338–344, 1999. View at Publisher · View at Google Scholar · View at Scopus
  20. J. Schuurmans, A. Hof, S. Dijkstra, O. H. Bosgra, and R. Brouwer, “Simple water level controller for irrigation and drainage canals,” Journal of Irrigation and Drainage Engineering, vol. 125, no. 4, pp. 189–195, 1999. View at Publisher · View at Google Scholar · View at Scopus
  21. I. Guenova, X. Litrico, and D. Georges, “Modelling and robust PID control of an irrigation canal pool,” in Proceedings of the 23rd IASTED International Conference on Modelling, Identification, and Control, pp. 561–566, Grindelwald, Switzerland, February 2004. View at Scopus
  22. X. Litrico, Modélisation, identification et commande robuste de systèmes hydrauliques à surface libre [Thèse de doctorat de l’ENGREF], Spécialité Sciences de l’Eau, 1999.
  23. X. Litrico and D. Georges, “Robust continuous-time and discrete-time flow control of a dam-river system. (I) Modelling,” Applied Mathematical Modelling, vol. 23, no. 11, pp. 809–827, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  24. X. Litrico and V. Fromion, “Analytical approximation of open-channel flow for controller design,” Applied Mathematical Modelling, vol. 28, no. 7, pp. 677–695, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  25. Y. Bolea, V. Puig, and J. Blesa, “Linear parameter varying modelling and identification for real-time control of open-flow irrigation canals,” Environmental Modelling & Software, vol. 53, pp. 87–97, 2013. View at Google Scholar
  26. X. Litrico and V. Fromion, “Simplified modeling of irrigation canals for controller design,” Journal of Irrigation and Drainage Engineering, vol. 130, no. 5, pp. 373–383, 2004. View at Publisher · View at Google Scholar · View at Scopus
  27. X. Litrico, V. Fromion, J.-P. Baume, C. Arranja, and M. Rijo, “Experimental validation of a methodology to control irrigation canals based on Saint-Venant equations,” Control Engineering Practice, vol. 13, no. 11, pp. 1425–1437, 2005. View at Publisher · View at Google Scholar · View at Scopus
  28. A. J. Clemmens and J. Schuurmans, “Simple optimal downstream feedback canal controllers: theory,” Journal of Irrigation and Drainage Engineering, vol. 130, no. 1, pp. 26–34, 2004. View at Publisher · View at Google Scholar · View at Scopus
  29. A. J. Clemmens and B. T. Wahlin, “Simple optimal downstream feedback canal controllers: ASCE test case results,” Journal of Irrigation and Drainage Engineering, vol. 130, no. 1, pp. 35–46, 2004. View at Publisher · View at Google Scholar · View at Scopus
  30. B. T. Wahlin, “Performance of model predictive control on ASCE test canal 1,” Journal of Irrigation and Drainage Engineering, vol. 130, no. 3, pp. 227–238, 2004. View at Publisher · View at Google Scholar · View at Scopus
  31. P. J. van Overloop, J. Schuurmans, R. Brouwer, and C. M. Burt, “Multiple-model optimization of proportional integral controllers on canals,” Journal of Irrigation and Drainage Engineering, vol. 131, no. 2, pp. 190–196, 2005. View at Publisher · View at Google Scholar · View at Scopus
  32. X. Litrico and V. Fromion, “Frequency modeling of open-channel flow,” Journal of Hydraulic Engineering, vol. 130, no. 8, pp. 806–815, 2004. View at Publisher · View at Google Scholar · View at Scopus
  33. G. Belaud, X. Litrico, B. de Graaff, and J. Baume, “Hydraulic modeling of an automatic upstream water level control gate for submerged flow conditions,” Journal of Irrigation and Drainage Engineering, vol. 134, no. 3, pp. 315–326, 2008. View at Publisher · View at Google Scholar · View at Scopus
  34. S. Munier, X. Litrico, G. Belaud, and P. Malaterre, “Distributed approximation of open-channel flow routing accounting for backwater effects,” Advances in Water Resources, vol. 31, no. 12, pp. 1590–1602, 2008. View at Publisher · View at Google Scholar · View at Scopus
  35. S. Munier, G. Belaud, and X. Litrico, “Closed-form expression of the response time of an open channel,” Journal of Irrigation and Drainage Engineering, vol. 136, no. 10, pp. 677–684, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. N. Bedjaoui and E. Weyer, “Algorithms for leak detection, estimation, isolation and localization in open water channels,” Control Engineering Practice, vol. 19, no. 6, pp. 564–573, 2011. View at Publisher · View at Google Scholar · View at Scopus
  37. P. J. van Overloop, I. J. Miltenburg, X. Bombois et al., “Identification of resonance waves in open water channels,” Control Engineering Practice, vol. 18, no. 8, pp. 863–872, 2010. View at Publisher · View at Google Scholar · View at Scopus
  38. E. Weyer, “System identification of an open water channel,” Control Engineering Practice, vol. 9, no. 12, pp. 1289–1299, 2001. View at Publisher · View at Google Scholar · View at Scopus
  39. Y. Bolea, J. Blesa, V. Puig, and T. Escobet, “Identification of an open canal: parametric black-box vs muskingum approaches,” in Proceeding of the IEEE International Conference on Systems, Man and Cybernetics, vol. 5, pp. 494–499, October 2002. View at Publisher · View at Google Scholar · View at Scopus
  40. L. Ljung, System Identification: Theory for the User, Prentice Hall, Upper Saddle River, NJ, USA, 2nd edition, 1999.
  41. A. Akhenak, E. Duviella, L. Bako, and S. Lecoeuche, “Online fault diagnosis using recursive subspace identification: application to a dam-gallery open channel system,” Control Engineering Practice, vol. 21, no. 6, pp. 797–806, 2013. View at Publisher · View at Google Scholar · View at Scopus
  42. Y. Bolea, N. Chefdor, and A. Grau, “MIMO LPV state-space identification of open-flow irrigation canal systems,” Mathematical Problems in Engineering, vol. 2012, Article ID 948936, 16 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  43. V. Singh, Hydrologic Systems, vol. 1, Prentice-Hall, 1988.
  44. X. Alvarez Brotons, M. Gomez Valentin, and J. Rodellar, Predictive control of Irrigation Canals Using Prediction Models of Muskingum (first order) and Hayami (second order) type, Civil Engineering School of Barcelona. Technical University of Catalonia, Barcelona, Spain, 2004.
  45. A. Montazar and S. Isapoor, “Centralized Downstream PI controllers for the west canal of Aghili irrigation district,” Journal of Agricultural Science and Technology, vol. 14, no. 2, pp. 375–388, 2012. View at Google Scholar · View at Scopus
  46. H. Borjian, “Karun River. Geography and hydrology,” Encyclopaedia Iranica, vol. 15, no. 6, pp. 629–633, 2011. View at Google Scholar
  47. Y. Bolea and J. Blesa, “Irrigation canal simulator (ICS),” Internal Report, Automatic Control Department, Technical University of Catalonia, 2000. View at Google Scholar
  48. J. A. Cunge and M. Wegner, “Intégration numérique des equations d’écoulement de Barré de Saint-Venant par un schéma implicite de différences finies,” La Houille Blanche, vol. 1, pp. 33–39, 1964. View at Google Scholar · View at MathSciNet
  49. R. W. Hamming, Numerical Methods for Scientists and Engineers, Dover Publications, New York, NY, USA, 2nd edition, 1973. View at MathSciNet
  50. E. F. Camacho, Model Predictive Control, chapter 5, Springer, New York, NY, USA, 1999.
  51. K. Ogata, Modern Control Engineering, Prentice-Hall, 2nd edition, 1993.
  52. R. Szymkiewicz, “An alternative IUH for the hydrological lumped models,” Journal of Hydrology, vol. 259, no. 1–4, pp. 246–253, 2002. View at Publisher · View at Google Scholar · View at Scopus
  53. K. J. Åström and T. Hägglund, PID Controller: Theory, Design and Tuning, Instrument Society of America, Research Triangle Park, NC, USA, 2nd edition, 1995.
  54. K. J. Åström and B. Wittenmark, Computer-Controlled Systems. Theory and Design, Prentice-Hall, 3rd edition, 1997.
  55. O. J. M. Smith, “Closer control of loops with dead time,” Chemical Engineering Progress, vol. 53, pp. 217–219, 1957. View at Google Scholar
  56. J. E. Normay-Rico and E. Camacho, Control of Dead-Time Processes, Springer, New York, NY, USA, 2007.
  57. M. Gómez, J. Rodellar, and J. A. Mantecón, “Predictive control method for decentralized operation of irrigation canals,” Applied Mathematical Modelling, vol. 26, no. 10, pp. 1039–1056, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  58. J. Maciejowski, Predictive Control with Constraints, Prentice Hall, Great Britain, UK, 2002.
  59. R. Isermann, Digital Control Systems, vol. 1 of Fundamentals, Deterministic Control, Springer, New York, NY, USA, 2nd edition, 1989. View at Publisher · View at Google Scholar · View at MathSciNet
  60. S. M. Shinners, Modern Control System: Theory and Design, John Wiley & Sons, New York, NY, USA, 2nd edition, 1992. View at MathSciNet
  61. J. A. Baksi and M. V. Backsi, Modern Control Theory, Technical Publications, Pune, India, 1st edition, 2008.