Table of Contents
Conference Papers in Mathematics
Volume 2013, Article ID 769598, 15 pages
http://dx.doi.org/10.1155/2013/769598
Conference Paper

An Optimal Control Framework for Resources Management in Agriculture

1Universidade do Porto, Instituto de Sistemas e Robótica Porto, Rua Roberto Frias s/n, 4200-465 Porto, Portugal
2Universidade de São Paulo, Avenida Trabalhador Sãocarlense 400, 13560-970 São Carlos, SP, Brazil
3Universidade Estadual Paulista, UNESP, Departmento Matemática Aplicada, Rua Cristovão Colombo, 2265, 15054-000 São Jasé do Rio Preto, SP, Brazil

Received 19 June 2013; Accepted 14 July 2013

Academic Editors: G. S. F. Frederico, N. Martins, D. F. M. Torres, and A. J. Zaslavski

This Conference Paper is based on a presentation given by Fernando Lobo Pereira at “The Cape Verde International Days on Mathematics 2013” held from 22 April 2013 to 25 April 2013 in Praia, Cape Verde.

Copyright © 2013 Fernando Lobo Pereira et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An optimal control framework to support the management and control of resources in a wide range of problems arising in agriculture is discussed. Lessons extracted from past research on the weed control problem and a survey of a vast body of pertinent literature led to the specification of key requirements to be met by a suitable optimization framework. The proposed layered control structure—including planning, coordination, and execution layers—relies on a set of nested optimization processes of which an “infinite horizon” Model Predictive Control scheme plays a key role in planning and coordination. Some challenges and recent results on the Pontryagin Maximum Principle for infinite horizon optimal control are also discussed.