MPC BASED COORDINATION FOR THE SUSTAINABLE
MANAGEMENT OF PRODUCTION FACTORS IN AGRICULTURE
Fernando Lobo Pereira, Ismael Pena, Geraldo Silva
This article proposes a decision support system based on a Model Predictive Control (MPC) Scheme in order to conciliate sustainable short term economic returns of a set of agricultural production units that compose a given region and the its long term environmental sustainability.
The overall coordination is achieved by a decentralized, adaptive, and hierarchic structure that, on the one end hand, promotes the long term common good by approximating the solution to an infinite horizon optimal control problem, and, on the other hand, provides agro-chemical indicators to each one of the local farmers.
This is a very complex problem and this work is a preliminary effort in which the emphasis will be in the problem formulation in a simple context. More precisely, two production units will be modeled and an MPC based coordinator to define the production factors for each production unit will be considered. In this process, the maximum principle of Pontryagin will play a considerable role in formulating the dynamics taken into account by the coordinator.