Multivariate optimal control for on-demand operation of irrigation canals

Abstract

This paper presents an application of optimal control theory to the automatic control of a single reach of an irrigation canal. The model used to design the controller is derived from Saint-Venant's equations discretized through the Preiss-man implicit scheme and linearized. A state and perturbation observer is used to reconstruct the state variable from a reduced number of observed variables. Both perturbation rejection and tracking aspects are considered. The controller and observer are tested on both linear and on nonlinear models and prove to be efficient.