Acceleration of finite-time stable homogeneous systems

Dvir, Yotam; Levant, Arie; Efimov, Denis; Polyakov, Andrey; Perruquetti, Wilfrid

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1002/rnc

Title :

Acceleration of finite-time stable homogeneous systems

Author(s) :

Dvir, Yotam [Auteur]
School of Mathematical Sciences [Tel Aviv] [TAU]
Levant, Arie [Auteur]
School of Mathematical Sciences [Tel Aviv] [TAU]
Efimov, Denis [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Polyakov, Andrey [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]

Non-Asymptotic estimation for online systems [NON-A]

Journal title :

International Journal of Robust and Nonlinear Control

Pages :

1 - 23

Publisher :

Wiley

Publication date :

2018

ISSN :

1049-8923

English keyword(s) :

Finite-time stability
Sliding mode control
Homogeneous systems
Uncertain systems

HAL domain(s) :

Sciences de l'ingénieur [physics]/Automatique / Robotique

English abstract : [en]

Stabilization rates of power-integrator chains are easily regulated. It provides a framework for acceleration of uncertain multi-input multi-output (MIMO) dynamic systems of known relative degrees (RDs). The desired rate ...
Show more >Stabilization rates of power-integrator chains are easily regulated. It provides a framework for acceleration of uncertain multi-input multi-output (MIMO) dynamic systems of known relative degrees (RDs). The desired rate of the output stabilization (sliding-mode (SM) control) is ensured for an uncertain system, if its RD is known, and a rough approximation of the high-frequency gain matrix is available. The uniformly bounded convergence time (fixed-time stability) is obtained as a particular case. The control can be kept continuous everywhere accept the SM set, if the partial RDs are equal. Similarly uncertain smooth systems of complete MIMO RDs (i.e. lacking zero dynamics) are stabilized by continuous control at their equilibria in finite time and also accelerated. Output-feedback controllers are constructed. Computer simulation demonstrates the efficiency of the proposed approach.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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