Optimal control of an open channel irrigation system based on non-linear models

In this paper, we apply an optimal control approach on a real irrigation system based on nonlinear black-box model. Open channel systems are nonlinear, and their dynamics are based on the Saint-Venant equations, and having nonlinear component structures. For these reasons! linear models are not well adapted even less complex concerning;the models number of parameters. Water waste in large systems are not negligible, so we have an energy waste by pumping useless water. Our goal is to find the control trajectories by minimizing the energy consumption subject to different constraints like the physical limits of the system and also the water systems dynamics. The optimal solution is generated by some sequential quadratic programming algorithm SQP. In this paper, we apply an optimal control approach on a real irrigation system, the Canal de la Bourne (France) using a non-linear black-box model NARX.