Optimal control problems with oscillations, concentrations and discontinuities
Optimization and Control
2019-01-29 v2
Abstract
Optimal control problems with oscillations (chattering controls) and concentrations (impulsive controls) can have integral performance criteria such that concentration of the control signal occurs at a discontinuity of the state signal. Techniques from functional analysis (anisotropic parametrized measures) are applied to give a precise meaning of the integral cost and to allow for the sound application of numerical methods. We show how this can be combined with the Lasserre hierarchy of semidefinite programming relaxations.
Cite
@article{arxiv.1807.04199,
title = {Optimal control problems with oscillations, concentrations and discontinuities},
author = {Didier Henrion and Martin Kru{ž}ík and Tillmann Weisser},
journal= {arXiv preprint arXiv:1807.04199},
year = {2019}
}