Simplified state-space model and validation of irrigation canal systems

Saint-Venant equations are a set of quasi-linear partial differential equations that represent the canal hydraulics. It is difficult to adapt to control. In this paper, by using a spatial discretization and linearization method, a simplified state-space model of irrigation canals is derived from the Saint-Venant equations. In order to validate this model, under the same initial and boundary conditions, experimental data of canals was obtained from Simulation and Integration of Control for Canals (SICC) software. Comparisons of data outputs of the simplified model and SICC demonstrate the accuracy of the validation.