Uncertainty Quantification in Control Problems for Flocking Models. (1st June 2015)

• Record Type: Journal Article
• Authors: Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
• Other Names: Sánchez Angel Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-06-01
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/850124
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.