  This paper presents a UAV-based optimal crop-dusting method to control
anomalously diffusing infestation of crops. Two anomalous diffusion models are
considered, which are, respectively, time-fractional order diffusion equation
and space-fractional order diffusion equation. Our problem formulation is
motivated by real-time pest management by using networked unmanned cropdusters
where the pest spreading is modeled as a fractional diffusion equation. We
attempt to solve the optimal dynamic location of actuators by using Centroidal
Voronoi Tessellations. A new simulation platform (FO-DiffMAS-2D) for
measurement scheduling and controls in fractional order distributed parameter
systems is also introduced in this paper. Simulation results are presented to
show the effectiveness of the proposed method as well as the role of fractional
order in the overall control performance.
