LINEAR MODEL FOR CANAL POOLS

João Miguel Lemos Chasqueira Nabais, Miguel Ayala Botto

2011

Abstract

Water is vital for human life.Water is used widespread from agricultural to industrial as well as simple domestic activities. Mostly due to the increase on world population, water is becoming a sparse and valuable resource, pushing a high demand on the design of efficient engineering water distribution control systems. This paper presents a simple yet sufficiently rich and flexible solution to model open-channels. The hydraulic model is based on the Saint-Venant equations which are then linearized and transformed into a state space dynamic model. The resulting model is shown to be able to incorporate different boundary conditions like discharge, water depth or hydraulic structure dynamics, features that are commonly present on any water distribution system. Besides, due its computational simplicity and efficient monitoring capacity, the resulting hydraulic model is easily integrated into safety and fault tolerant control strategies. In this paper the hydraulic model is successfully validated using experimental data from a water canal setup.

References

  1. Akan, A. O. (2006). Open Channel Hydraulics. Elsevier.
  2. Akan, A. O. (2006). Open Channel Hydraulics. Elsevier.
  3. Almeida, M., ao Figueiredo, J., and Rijo, M. (2002). Scada configuration and control modes implementation on an experimental water supply canal. In 10th Mediterranean Conference on Control Automation, Lisbon, Portugal.
  4. Almeida, M., ao Figueiredo, J., and Rijo, M. (2002). Scada configuration and control modes implementation on an experimental water supply canal. In 10th Mediterranean Conference on Control Automation, Lisbon, Portugal.
  5. Bedjaoui, N., Weyer, E., and Bastin, G. (2009). Methods for the localization of a leak in open water channels. Networks and Heterogeneous Media, 4(2):180-210.
  6. Bedjaoui, N., Weyer, E., and Bastin, G. (2009). Methods for the localization of a leak in open water channels. Networks and Heterogeneous Media, 4(2):180-210.
  7. Blanke, M., Kinnaert, M., Lunze, J., and Staroswiecki, M. (2006). Diagnosis and Fault-Tolerant Control. Springer-Verlag.
  8. Blanke, M., Kinnaert, M., Lunze, J., and Staroswiecki, M. (2006). Diagnosis and Fault-Tolerant Control. Springer-Verlag.
  9. Duarte, J., Rato, L., Shirley, P., and Rijo, M. (2011). Multiplatform controller interface for scada application. In IFAC World Congress (Accepted in), Milan, Italy.
  10. Duarte, J., Rato, L., Shirley, P., and Rijo, M. (2011). Multiplatform controller interface for scada application. In IFAC World Congress (Accepted in), Milan, Italy.
  11. Isermann, R. (2006). Fault-Diagnosis Systems. SpringerVerlag.
  12. Isermann, R. (2006). Fault-Diagnosis Systems. SpringerVerlag.
  13. Litrico, X. and Fromion, V. (2002). Infinite dimensional modelling of open-channel hydraulic systems for control purposes. In 41th IEEE Conference on Decision and Control, pages 1681-1686, Las Vegas, Nevada.
  14. Litrico, X. and Fromion, V. (2002). Infinite dimensional modelling of open-channel hydraulic systems for control purposes. In 41th IEEE Conference on Decision and Control, pages 1681-1686, Las Vegas, Nevada.
  15. Litrico, X. and Fromion, V. (2004). Simplified modeling of irrigation canals for controller design. Journal of Irrigation and Drainage Engineering, 130:373-383.
  16. Litrico, X. and Fromion, V. (2004). Simplified modeling of irrigation canals for controller design. Journal of Irrigation and Drainage Engineering, 130:373-383.
  17. Litrico, X. and Fromion, V. (2009). Modeling and Control of Hysrosystmes. Springer-Verlag.
  18. Litrico, X. and Fromion, V. (2009). Modeling and Control of Hysrosystmes. Springer-Verlag.
  19. Martinez, C. A. O. (2007). Model Predictive Control of Complex Systems including Fault Toelrance Capabilities: Application to Sewer Networks. PhD thesis, Technical University of Catalonia.
  20. Martinez, C. A. O. (2007). Model Predictive Control of Complex Systems including Fault Toelrance Capabilities: Application to Sewer Networks. PhD thesis, Technical University of Catalonia.
  21. Nabais, J. and Botto, M. A. (2010). Qualitative comparison between two open water canal models. In 9th Portuguese Conference on Automatic Control, pages 501-506, Coimbra, Portugal.
  22. Nabais, J. and Botto, M. A. (2010). Qualitative comparison between two open water canal models. In 9th Portuguese Conference on Automatic Control, pages 501-506, Coimbra, Portugal.
  23. Negenborn, R., van Overloop, P.-J., Keviczky, T., and de Schutter, B. (2009). Distributed model predictive control of irrigation canals. Networks and Heterogeneous Media, 4(2):359-380.
  24. Negenborn, R., van Overloop, P.-J., Keviczky, T., and de Schutter, B. (2009). Distributed model predictive control of irrigation canals. Networks and Heterogeneous Media, 4(2):359-380.
  25. Schuurmans, J., Bosgra, O., and Brouwer, R. (1995). Openchannel flow model approximation for controller design. Applied Mathematical Modelling.
  26. Schuurmans, J., Bosgra, O., and Brouwer, R. (1995). Openchannel flow model approximation for controller design. Applied Mathematical Modelling.
  27. Schuurmans, J., Clemmens, J., S.Dijkstra, Hof, A., and Brouwer, R. (1999a). Modeling of irrigation and drainage canals for controller design. Journal of Irrigation and Drainage Engineering, 125(6):338-344.
  28. Schuurmans, J., Clemmens, J., S.Dijkstra, Hof, A., and Brouwer, R. (1999a). Modeling of irrigation and drainage canals for controller design. Journal of Irrigation and Drainage Engineering, 125(6):338-344.
  29. Schuurmans, J., Hof, A., S.Dijkstra, Bosgra, O., and Brouwer, R. (1999b). Simple water level controller for irrigation and drainage canals. Journal of Irrigation and Drainage Engineering, 125(4):189-195.
  30. Schuurmans, J., Hof, A., S.Dijkstra, Bosgra, O., and Brouwer, R. (1999b). Simple water level controller for irrigation and drainage canals. Journal of Irrigation and Drainage Engineering, 125(4):189-195.
  31. Silva, P., Botto, M. A., and ao Figueiredo, J. (2007). Model predictive control of an experimental canal. In European Control Conference, pages 2977-2984, Kos, Greece.
  32. Silva, P., Botto, M. A., and ao Figueiredo, J. (2007). Model predictive control of an experimental canal. In European Control Conference, pages 2977-2984, Kos, Greece.
  33. Szymkiewicz, R. (2010). Numerical Modeling in Open Channel. Springer-Verlag.
  34. Szymkiewicz, R. (2010). Numerical Modeling in Open Channel. Springer-Verlag.
  35. van Overloop, P. (2006). Model Predictive Control on Open Water Systems. IOS Press.
  36. van Overloop, P. (2006). Model Predictive Control on Open Water Systems. IOS Press.
Download


Paper Citation


in Harvard Style

Miguel Lemos Chasqueira Nabais J. and Ayala Botto M. (2011). LINEAR MODEL FOR CANAL POOLS . In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-74-4, pages 306-313. DOI: 10.5220/0003536103060313


in Harvard Style

Miguel Lemos Chasqueira Nabais J. and Ayala Botto M. (2011). LINEAR MODEL FOR CANAL POOLS . In Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-74-4, pages 306-313. DOI: 10.5220/0003536103060313


in Bibtex Style

@conference{icinco11,
author={João Miguel Lemos Chasqueira Nabais and Miguel Ayala Botto},
title={LINEAR MODEL FOR CANAL POOLS},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2011},
pages={306-313},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003536103060313},
isbn={978-989-8425-74-4},
}


in Bibtex Style

@conference{icinco11,
author={João Miguel Lemos Chasqueira Nabais and Miguel Ayala Botto},
title={LINEAR MODEL FOR CANAL POOLS},
booktitle={Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2011},
pages={306-313},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003536103060313},
isbn={978-989-8425-74-4},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - LINEAR MODEL FOR CANAL POOLS
SN - 978-989-8425-74-4
AU - Miguel Lemos Chasqueira Nabais J.
AU - Ayala Botto M.
PY - 2011
SP - 306
EP - 313
DO - 10.5220/0003536103060313


in EndNote Style

TY - CONF
JO - Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - LINEAR MODEL FOR CANAL POOLS
SN - 978-989-8425-74-4
AU - Miguel Lemos Chasqueira Nabais J.
AU - Ayala Botto M.
PY - 2011
SP - 306
EP - 313
DO - 10.5220/0003536103060313