Kinetic Descriptions of Chemical and Biological Systems:

Model-Predicitive Control Strategies for Agent-Based Systems

Michael Herty

Rheinisch Westfälische Technische Hochschule Aachen


In this work we are interested in the mean-field formulation of kinetic models under control actions where the control is formulated through a model predictive control strategy with varying horizon. The relation between the (usually hard to compute) optimal control and the MPC approach is investigated theoretically in the mean-field limit. We establish a computable and provable bound on the difference in the cost functional for MPC controlled and optimal controlled system dynamics in the mean-field limit. Also, the influence on bounds on the control are investigated. Numerical results for swarming models in the mean-field setting are given.