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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 197907, 11 pages
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.


A comparative study about two models, Muskingum and integrator-delay (ID) models, for canal control is presented. The former is a simplified hydrological model which is very simple and extensively used in hydraulic engineering for simulation and prediction. The latter is also a model with physical meaning and is widely used for irrigation canals control. Due to a lack of general awareness of Muskingum prediction model in regulation from the control community, authors present this comparative study with the ID control model. Both models have been studied and analyzed for control purposes. This study has been carried out and validated in a real irrigation canal, at Aghili irrigation district in Iran, using two traditional control approaches, PID with feedback and predictive control. The results demonstrate the advantages and drawbacks of both models, showing the benefits and limitations of using the widespread Muskingum model among the hydraulics scientific community for control design.