Abstract
Control of a diffusive network process using measurements and actuation from a stochastically-circulating platform is studied. A network-diffusion model is extended to represent a mobile platform with circulates in the network in a Markov fashion, and applies a local proportional-integral-derivative (PID) feedback control. A statistical analysis of the closed-loop dynamics is undertaken using a Markov jump-linear system reformulation. For the proportional-control case, formal results on regulation and on the settling time are established. Simulations are also used to compare proportional and PID controls.
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