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Stabilization of a perturbed chain of integrators in prescribed time

Yacine Chitour 1 Rosane Ushirobira 2
2 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : In this work, we study issues of prescribed time stabilization of a chain of integrators of arbitrary length, that can be either pure (i.e. with no disturbance) or perturbed. In the first part, we revisit the feedback law proposed by Song et al. and we show that it can be appropriately recast within the framework of time-varying homogeneity. Since this feedback is not robust with respect to measurement noise, in the second part of the paper, we provide a feedback law inspired by the sliding mode theory. This latter feedback not only stabilizes the pure chain of integrators in prescribed time but also exhibits robustness in the presence of disturbances.
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https://hal.inria.fr/hal-02418557
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Submitted on : Wednesday, December 18, 2019 - 10:52:38 PM
Last modification on : Monday, March 29, 2021 - 2:47:34 PM
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Yacine Chitour, Rosane Ushirobira. Stabilization of a perturbed chain of integrators in prescribed time. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02418557⟩

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