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

2015/03/21 by Jonathan Laporte, Laporte, Jonathan, Antoine Chaillet +3
Computer Science · Engineering · Mathematics · #Advanced Control Systems Optimization #FOS: Electrical engineering #Numerical methods for differential equations #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #cs.SY #eess.SY #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1503.06364

arxiv created 2015/03/21 · openalex publication_date 2015/03/21 · openalex created_date 2019/06/27 · arxiv updated 2022/01/02 · openalex updated_date 2026/07/28

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.

Citations

• In-the-large stability of relay and saturating control systems with linear controllers

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