Integrated Mobile Measurements for Improved Control of Atmospheric Pollution Based on Reaction Diffusion PDE Modeling

In this paper, an optimal framework for the control of a class of atmospheric pollution modeled as reaction-diffusion systems is presented. It is assumed that a moving perturbation is involved in the diffusion process. The optimization is carried out by means of measurements obtained by mobile sensors from the spatial diffusion process. A control scheme based on mobile measurements which ensures global asymptotic stabilization of the closed-loop control system is provided through the use of an output feedback control policy and the Lyapunov function method. Under this improved control strategy, the traditional scenario of utilizing measurements from a fixed sensor network to achieve system control can be considered as a special case of our results. In addition, the effectiveness of the theoretical results is shown and substantiated through provided simulation examples.