Stabilization of a perturbed chain of ...
Document type :
Communication dans un congrès avec actes
Title :
Stabilization of a perturbed chain of integrators in prescribed time
Author(s) :
Chitour, Yacine [Auteur]
Laboratoire des signaux et systèmes [L2S]
Ushirobira, Rosane [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Laboratoire des signaux et systèmes [L2S]
Ushirobira, Rosane [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Conference title :
CDC 2019 - 58th IEEE Conference on Decision and Control
City :
Nice
Country :
France
Start date of the conference :
2019-12-11
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
ANR Project :
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