Computation of open-loop inputs for uniformly ensemble controllable systems
Optimization and Control
2021-06-02 v2
Abstract
This paper presents computational methods for families of linear systems depending on a parameter. Such a family is called ensemble controllable if for any family of parameter-dependent target states and any neighborhood of it there is a parameter-independent input steering the origin into the neighborhood. Assuming that a family of systems is ensemble controllable we present methods to construct suitable open-loop input functions. Our approach to solve this infinite-dimensional task is based on a combination of methods from the theory of linear integral equations and finite-dimensional control theory.
Cite
@article{arxiv.2105.14812,
title = {Computation of open-loop inputs for uniformly ensemble controllable systems},
author = {Michael Schönlein},
journal= {arXiv preprint arXiv:2105.14812},
year = {2021}
}