Abstract
This chapter addresses distributed LQG control of multipurpose open water channels, used both for water delivery and vehicle transportation. The use of a local control agent structure of the so called local upstream control type ensures that the water level is kept close to a desired level, even in the presence of disturbances caused by water turnout at side offtakes, so as to ensure navigability. Local control agents are modified LQG controllers coupled with a nonlinear compensation of the nonlinearities induced by the gates nonlinear models. The coordination among local controllers is achieved through an algorithm based on game theory that drives the local decisions to a Nash equilibrium. Experimental results in a large scale pilot canal are included to demonstrate the control concepts proposed.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Litrico X, Fromion V. Modeling and control of hydrosystems. New York: Springer; 2009.
Cantoni M, Weyer E, Li Y, Ooi SK, Mareels I, Ryan M. Control of large-scale irrigation networks. Proc IEEE. 2007;95(1):75–91.
Zhang Y, Jiang J. Bibliographical review on reconfigurable fault-tolerant control systems. In: Proceedings of 5th IFAC symposium on fault detection, supervision and safety of technical systems, Washington, DC; 2003. pp. 265–76.
Åstrom K, Albertos P, Blanke M, Isidori A, Schaufelberger W, Sanz R, editors. Control of complex systems. Berlin: Springer; 2001.
Blanke M, Staroswiecki M, Wu NE. Concepts and methods in fault-tolerant control. In: Proceedings of 2001 American Control Conference; 2011. pp. 2606–20.
Campo P, Morari M. Achievable closed-loop properties of systems under decentralized control: conditions involving the steady-state gain. IEEE Trans. Autom. Control. 1994;39(5):932–43.
Zhao Q, Jiang J. Reliable state feedback control design against actuator failures. Automatica. 1998;34(10):1267–72.
Weyer E, Bastin G. Leak detection in open water channel. In: Proceedings of 17th IFAC world congress, Seoul, Korea; 2008. pp. 7913–8.
Zhang PZ, Weyer E. A reference model approach to performance monitoring of control loops with applications to irrigation channels. Int J Adapt Control Signal Process. 2005;19(10):797–818.
Choy S, Weyer E. Reconfiguration scheme to mitigate faults in automated irrigation channels. In: Proceedings of 44th IEEE conference on decision and control, Sevilla, Spain; 2005. pp 1875–80.
Koutsoukos X, Antsaklis PJ, Stiver JA, Lemmon MD. Supervisory control of hybrid systems. Proc IEEE. 2000;88(7):1026–49.
Lemos JM, Machado F, Nogueira N, Rato L, Rijo M. Adaptive and non-adaptive model predictive control of an irrigation channel. Netw Heterog Media. 2009;4(2):303–24.
Liberson D, Morse AS. Basic problems in stability and design of switched systems. IEEE Control Syst. 1999:19(5):59–70.
Fliess M, Lévine J, Martin Ph, Rouchon P. Flatness and defect of nonlinear systems: introductory theory and examples. Int J Control. 1995;61(6):1327–61.
Martin Ph, Murray RM, Rouchon P. Flat systems, ch. 8. In: Bastin G, Gevers M, editors. European control conference 1997 – plenary courses and mini-courses; 1997. pp. 211–264.
Acknowledgements
This work was supported by national funds through FCT—Fundação para a Ciência e a Tecnologia, Portugal, under contracts PTDC/EMS-CRO/2042/2012 (project ORCHESTRA—Distributed Optimization and Control of Large Scale Water Delivery Systems) and PEst-OE/EEI/LA0021/2013.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Lemos, J.M., Sampaio, I. (2015). Distributed LQG Control for Multiobjective Control of Water Canals. In: Ocampo-Martinez, C., Negenborn, R. (eds) Transport of Water versus Transport over Water. Operations Research/Computer Science Interfaces Series, vol 58. Springer, Cham. https://doi.org/10.1007/978-3-319-16133-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-16133-4_4
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16132-7
Online ISBN: 978-3-319-16133-4
eBook Packages: Business and EconomicsBusiness and Management (R0)