Robust optimal periodic control using guaranteed Euler's method
Systems and Control
2021-09-10 v1 Systems and Control
Abstract
In this paper, we consider the application of optimal periodic control sequences to switched dynamical systems. The control sequence is obtained using a finite-horizon optimal method based on dynamic programming. We then consider Euler approximate solutions for the system extended with bounded perturbations. The main result gives a simple condition on the perturbed system for guaranteeing the existence of a stable limit cycle of the unperturbed system. An illustrative numerical example is provided which demonstrates the applicability of the method.
Cite
@article{arxiv.2103.10125,
title = {Robust optimal periodic control using guaranteed Euler's method},
author = {Jawher Jerray and Laurent Fribourg and Étienne André},
journal= {arXiv preprint arXiv:2103.10125},
year = {2021}
}
Comments
This is the author version of the manuscript of the same name published in the proceedings of the 2021 American Control Conference (ACC 2021)