On Modeling and constrained model predictive control of open irrigation canals

This paper proposes a model predictive control of open irrigation canals with constraints. the saint-venant equations are widely used in hydraulics to model an open canal. as a set of hyperbolic partial differential equations,they are not solved explicitly and difficult to design optimal control algorithms. in this work,a prediction model of an open canal is developed by discretizing the saint-venant equations in both space and time. based on the prediction model,a constrained model predictive control was firstly investigated for the case of one single-pool canal and then generalized to the case of a cascaded canal with multipools. the hydraulic software sicc was used to simulate the canal and test the algorithms with application to a real-world irrigation canal of yehe irrigation area located in hebei province. © 2017 lihui cen et al.