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arXiv · 1503.06364

Global stabilization of multiple integrators by a bounded feedback with constraints on its successive derivatives

Jonathan Laporte·Antoine Chaillet·Yacine Chitour
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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.

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Jonathan Laporte, Antoine Chaillet, Yacine Chitour. 2015-03-21. Global stabilization of multiple integrators by a bounded feedback with constraints on its successive derivatives. https://arxiv.org/abs/1503.06364

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