Selective model-predictive control for flocking systems

Giacomo Albi; Lorenzo Pareschi

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arXiv · 1603.05012

Selective model-predictive control for flocking systems

Giacomo Albi·Lorenzo Pareschi

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Abstract

In this paper the optimal control of alignment models composed by a large number of agents is investigated in presence of a selective action of a controller, acting in order to enhance consensus. Two types of selective controls have been presented: an homogeneous control filtered by a selective function and a distributed control active only on a selective set. As a first step toward a reduction of computational cost, we introduce a model predictive control (MPC) approximation by deriving a numerical scheme with a feedback selective constrained dynamics. Next, in order to cope with the numerical solution of a large number of interacting agents, we derive the mean-field limit of the feedback selective constrained dynamics, which eventually will be solved numerically by means of a stochastic algorithm, able to simulate efficiently the selective constrained dynamics. Finally, several numerical simulations are reported to show the efficiency of the proposed techniques.

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BibTeX RIS

Giacomo Albi, Lorenzo Pareschi. 2016-03-16. Selective model-predictive control for flocking systems. https://arxiv.org/abs/1603.05012

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