Optimal Control with an Interval-valued Objective Function: an Application in Weed Management

Abstract

This paper investigates how optimal controle can support weed management by looking specifically at an optimal control problem with an interval-valued objective function based on dynamic optimization. The dynamic optimization problem involves continuous variables modeled as an interval-valued nonlinear programming (INLP) problem. In this study, we converted the INLP problem into into a multi-objective problem using the concept of order relation and solver the multi-objetive problem using the weight method. We solved the resultant NLP problem with an active-set algorithm (ASA) for box-constrained optimization. Finally, we carried out an application in a weed management problem.