The implicit discretization of the ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
The implicit discretization of the super-twisting sliding-mode control algorithm
Auteur(s) :
Brogliato, Bernard [Auteur]
Modélisation, simulation et commande des systèmes dynamiques non lisses [TRIPOP]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Modélisation, simulation et commande des systèmes dynamiques non lisses [TRIPOP]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Titre de la revue :
IEEE Transactions on Automatic Control
Pagination :
3707-3713
Éditeur :
Institute of Electrical and Electronics Engineers
Date de publication :
2020-08
ISSN :
0018-9286
Mot(s)-clé(s) en anglais :
Implicit Euler discretization
Lyapunov stability
super-twisting algorithm
sliding mode control
Lyapunov stability
super-twisting algorithm
sliding mode control
Discipline(s) HAL :
Sciences de l'ingénieur [physics]/Automatique / Robotique
Mathématiques [math]/Optimisation et contrôle [math.OC]
Mathématiques [math]/Optimisation et contrôle [math.OC]
Résumé en anglais : [en]
This paper deals with the analysis of the time-discretization of the super-twisting algorithm, with an implicit Euler method. It is shown that the discretized system is well-posed. The existence of a Lyapunov function with ...
Lire la suite >This paper deals with the analysis of the time-discretization of the super-twisting algorithm, with an implicit Euler method. It is shown that the discretized system is well-posed. The existence of a Lyapunov function with convex level sets is proved for the continuoustime closed-loop system. Then the global asymptotic Lyapunov stability of the unperturbed discrete-time closedloop system is proved. The convergence to the origin in a finite number of steps is proved also in the unperturbed case. Numerical simulations demonstrate the superiority of the implicit method with respect to an explicit discretization with significant chattering reduction.Lire moins >
Lire la suite >This paper deals with the analysis of the time-discretization of the super-twisting algorithm, with an implicit Euler method. It is shown that the discretized system is well-posed. The existence of a Lyapunov function with convex level sets is proved for the continuoustime closed-loop system. Then the global asymptotic Lyapunov stability of the unperturbed discrete-time closedloop system is proved. The convergence to the origin in a finite number of steps is proved also in the unperturbed case. Numerical simulations demonstrate the superiority of the implicit method with respect to an explicit discretization with significant chattering reduction.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Projet ANR :
Commentaire :
A preliminary version of this article was presented at the 15th Int. Workshop on Variable Structure Systems VSS’2018, Graz, Austria, July 2018.
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