An LPV fractional Hayami model for canal control

Abstract

In this paper an LPV non-integer order control Hayami model of an irrigation canal is derived from system identification experiments. This model is physically deduced by the simplification of Saint-Venant equations and experimentally obtained by using the described LPV fractional identification procedure. This procedure consists on the identification of a non-linear order model in each operation point of the canal. The global LPV model is obtained by the polynomial interpolation of the parameters of the local models. The validation results show that fractional models are more accurate than integer models. Therefore the fractional models have an important role to play in management and efficient use of water resources.