Moment-driven predictive control of mean-field collective dynamics
File(s)AHKS21_R1.pdf (1.45 MB)
Accepted version
Author(s)
Albi, Giacomo
Herty, Michael
Kalise, Dante
Segala, Chiara
Type
Journal Article
Abstract
The synthesis of control laws for interacting agent-based dynamics and their mean-field limit is studied. A linearization-based approach is used for the computation of sub-optimal feedback laws obtained from the solution of differential matrix Riccati equations. Quantification of dynamic performance of such control laws leads to theoretical estimates on suitable linearization
points of the nonlinear dynamics. Subsequently, the feedback laws are embedded into nonlinear model predictive control framework where the control is updated adaptively in time according to dynamic information on moments of linear mean-field dynamics. The performance and robustness of
the proposed methodology is assessed through different numerical experiments in collective dynamics.
points of the nonlinear dynamics. Subsequently, the feedback laws are embedded into nonlinear model predictive control framework where the control is updated adaptively in time according to dynamic information on moments of linear mean-field dynamics. The performance and robustness of
the proposed methodology is assessed through different numerical experiments in collective dynamics.
Date Acceptance
2022-01-18
Citation
SIAM Journal on Control and Optimization, 60 (2)
ISSN
0363-0129
Publisher
Society for Industrial and Applied Mathematics
Journal / Book Title
SIAM Journal on Control and Optimization
Volume
60
Issue
2
Copyright Statement
© 2022 Society for Industrial and Applied Mathematics
Sponsor
Engineering & Physical Science Research Council (E
Identifier
https://epubs.siam.org/doi/10.1137/21M1391559
Grant Number
RA45YC
Subjects
Industrial Engineering & Automation
0102 Applied Mathematics
0906 Electrical and Electronic Engineering
0913 Mechanical Engineering
Publication Status
Published