Optimal control applied to an irrigation planning problem

We propose a mathematical model to study the water usage for the irrigation of given farmland to guarantee that the field crop is kept in a good state of preservation. This problem is formulated as an optimal control problem.The lack of analytic solution leads us to turn to numericalmethods to solve the problem numerically.We then apply necessary conditions of optimality to validate the numerical solution. To deal with the high degree of unpredictability of water inflow due to weather, we further propose a replan strategy and we implement it.The financial support of PTDC/EEI-AUT/2933/2014 and UID/MAT/00013/2013 is gratefully acknowledged