Global stabilization of multiple integrators by a bounded feedback with constraints on its successive derivatives
Systems and Control
2022-01-03 v1 Systems and Control
Abstract
In this paper, we address the global stabilization of chains of integrators by means of a bounded static feedback law whose p first time derivatives are bounded. Our construction is based on the technique of nested saturations introduced by Teel. We show that the control amplitude and the maximum value of its p first derivatives can be imposed below any prescribed values. Our results are illustrated by the stabilization of the third order integrator on the feedback and its first two derivatives.
Keywords
Cite
@article{arxiv.1503.06364,
title = {Global stabilization of multiple integrators by a bounded feedback with constraints on its successive derivatives},
author = {Jonathan Laporte and Antoine Chaillet and Yacine Chitour},
journal= {arXiv preprint arXiv:1503.06364},
year = {2022}
}