On Modeling and Constrained Model Predictive Control of Open Irrigation Canals

Abstract EN

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.