Finite-time stabilization under state constraints
Document type :
Communication dans un congrès avec actes
Title :
Finite-time stabilization under state constraints
Author(s) :
Nekhoroshikh, Artem [Auteur]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Furtat, Igor [Auteur]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Furtat, Igor [Auteur]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Conference title :
Proc. 60th IEEE Conference on Decision and Control (CDC)
City :
Austin
Country :
Etats-Unis d'Amérique
Start date of the conference :
2021-12-13
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
The problem of finite-time stabilization of linear systems under state and control input constraints in the presence of external disturbances is addressed. The proposed control is designed such that the closed-loop system ...
Show more >The problem of finite-time stabilization of linear systems under state and control input constraints in the presence of external disturbances is addressed. The proposed control is designed such that the closed-loop system is 1) superstable, when system trajectories risk to violate the state constraints, and 2) homogeneous with a negative degree, otherwise. While the former property ensures the fulfillment of the state and control constraints, the latter implies finite-time stability. The robustness of the control scheme with respect to disturbances is studied. Theoretical results are supported by numerical simulations.Show less >
Show more >The problem of finite-time stabilization of linear systems under state and control input constraints in the presence of external disturbances is addressed. The proposed control is designed such that the closed-loop system is 1) superstable, when system trajectories risk to violate the state constraints, and 2) homogeneous with a negative degree, otherwise. While the former property ensures the fulfillment of the state and control constraints, the latter implies finite-time stability. The robustness of the control scheme with respect to disturbances is studied. Theoretical results are supported by numerical simulations.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
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