Titre :

Averaging method for the stability analysis of strongly nonlinear mechanical systems

Auteur(s) :

Aleksandrov, Alexander [Auteur]
St Petersburg State University [SPbU]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
ITMO University [Russia]

Titre de la revue :

Automatica

Éditeur :

Elsevier

Date de publication :

2022

ISSN :

0005-1098

Mot(s)-clé(s) en anglais :

nonlinear mechanical system
nonstationary perturbations
averaging
asymptotic stability
Lyapunov function

Discipline(s) HAL :

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

Résumé en anglais : [en]

A mechanical system under strongly nonlinear potential and dissipative forces, with nonlinear nonstationary perturbations having zero mean values, is studied. Proposing a special construction of Lyapunov function, the ...
Lire la suite >A mechanical system under strongly nonlinear potential and dissipative forces, with nonlinear nonstationary perturbations having zero mean values, is studied. Proposing a special construction of Lyapunov function, the conditions are found, under which the perturbations do not influence the asymptotic stability of the trivial equilibrium position of the system. These conditions include the requirements on asymptotic stability of the disturbance-free system and the relations of the nonlinearity orders between potential and dissipative forces. The developed approach is extended to the problem of monoaxial stabilization of a rigid body.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

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

Source :

Harvested from HAL