Uncertainty Quantification in Control Problems for Flocking Models
Giacomo AlbiFakultät für Mathematik, Technische Universität München, Boltzmannstraße 3, Garching, 85748 Munich, GermanyLorenzo PareschiDepartment of Mathematics and Computer Science, University of Ferrara, Via N. Machiavelli 35, 44121 Ferrara, ItalyMattia ZanellaDepartment of Mathematics and Computer Science, University of Ferrara, Via N. Machiavelli 35, 44121 Ferrara, Italy
2015en
ABI
Annotatsiya
The optimal control of flocking models with random inputs is investigated from a numerical point of view. The effect of uncertainty in the interaction parameters is studied for a Cucker-Smale type model using a generalized polynomial chaos (gPC) approach. Numerical evidence of threshold effects in the alignment dynamic due to the random parameters is given. The use of a selective model predictive control permits steering of the system towards the desired state even in unstable regimes.
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