When are selector control strategies optimal for constrained monotone systems?
Optimization and Control
2023-12-15 v1 Systems and Control
Systems and Control
Abstract
This paper considers optimal control problems defined by a monotone dynamical system, a monotone cost, and monotone constraints. We identify families of such problems for which the optimal solution is bang-ride, i.e., always operates on the constraint boundaries, and prove that the optimal policy switches between a finite number of state feedback controllers. This motivates the use of simpler policies, such as selector control, that can be designed without perfect models and full state measurements. The approach is successfully applied to several variations of the health-aware fast charging problem for lithium-ion batteries.
Cite
@article{arxiv.2312.08829,
title = {When are selector control strategies optimal for constrained monotone systems?},
author = {Hamed Taghavian and Ross Drummond and Mikael Johansson},
journal= {arXiv preprint arXiv:2312.08829},
year = {2023}
}