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Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations

Authors :
Augier, Nicolas
Henrion, Didier
Korda, Milan
Magron, Victor
Publication Year :
2023

Abstract

We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the moment-SOS aka Lasserre hierarchy which allows one to significantly reduce the computation time and memory requirements compared to the case without symmetry reduction. We show that the recovery of optimal trajectories boils down to solving a symmetric parametric polynomial system. Then we illustrate our method on the symmetric integrator and the time-optimal inversion of qubits.<br />Comment: 38 pages, 23 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2307.03787
Document Type :
Working Paper