Optimal consensus control of the Cucker-Smale model
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Published version
Author(s)
Bailo, Rafael
Bongini, Mattia
Carrillo, Jose A
Kalise, Dante
Type
Journal Article
Abstract
We study the numerical realisation of optimal consensus control laws for agent-based models. For a nonlinear multi-agent system of Cucker-Smale type, consensus control is cast as a dynamic optimisation problem for which we derive first-order necessary optimality conditions. In the case of a smooth penalisation of the control energy, the optimality system is numerically approximated via a gradient-descent method. For sparsity promoting, non-smooth l1-norm control penalisations, the optimal controllers are realised by means of heuristic methods. For an increasing number of agents, we discuss the approximation of the consensus control problem by following a mean-field modelling approach.
Date Issued
2018-09-01
Date Acceptance
2018-03-21
Citation
IFAC-PapersOnLine, 2018, 51 (13), pp.1-6
ISSN
2405-8963
Publisher
IFAC Secretariat
Start Page
1
End Page
6
Journal / Book Title
IFAC-PapersOnLine
Volume
51
Issue
13
Copyright Statement
© 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000443321500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Agent-based models
Cucker-Smale model
consensus control
optimal control
first-order optimality conditions
sparse control
mean-field modelling.
EMERGENT BEHAVIOR
FLOCKING DYNAMICS
PARTICLE
Publication Status
Published
Coverage Spatial
Guadalajara, MEXICO
Date Publish Online
2018-08-31