Data/moment-driven approaches for fast predictive control of collective dynamics

Fuente: arXiv
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Autores principales: Albi, Giacomo, Bicego, Sara, Herty, Michael, Huang, Yuyang, Kalise, Dante, Segala, Chiara
Formato: Preprint
Publicado: 2024
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author Albi, Giacomo
Bicego, Sara
Herty, Michael
Huang, Yuyang
Kalise, Dante
Segala, Chiara
author_facet Albi, Giacomo
Bicego, Sara
Herty, Michael
Huang, Yuyang
Kalise, Dante
Segala, Chiara
contents Feedback control synthesis for large-scale particle systems is reviewed in the framework of model predictive control (MPC). The high-dimensional character of collective dynamics hampers the performance of traditional MPC algorithms based on fast online dynamic optimization at every time step. Two alternatives to MPC are proposed. First, the use of supervised learning techniques for the offline approximation of optimal feedback laws is discussed. Then, a procedure based on sequential linearization of the dynamics based on macroscopic quantities of the particle ensemble is reviewed. Both approaches circumvent the online solution of optimal control problems enabling fast, real-time, feedback synthesis for large-scale particle systems. Numerical experiments assess the performance of the proposed algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2402_15611
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Data/moment-driven approaches for fast predictive control of collective dynamics
Albi, Giacomo
Bicego, Sara
Herty, Michael
Huang, Yuyang
Kalise, Dante
Segala, Chiara
Optimization and Control
Machine Learning
Multiagent Systems
Feedback control synthesis for large-scale particle systems is reviewed in the framework of model predictive control (MPC). The high-dimensional character of collective dynamics hampers the performance of traditional MPC algorithms based on fast online dynamic optimization at every time step. Two alternatives to MPC are proposed. First, the use of supervised learning techniques for the offline approximation of optimal feedback laws is discussed. Then, a procedure based on sequential linearization of the dynamics based on macroscopic quantities of the particle ensemble is reviewed. Both approaches circumvent the online solution of optimal control problems enabling fast, real-time, feedback synthesis for large-scale particle systems. Numerical experiments assess the performance of the proposed algorithms.
title Data/moment-driven approaches for fast predictive control of collective dynamics
topic Optimization and Control
Machine Learning
Multiagent Systems
url https://arxiv.org/abs/2402.15611