Title :

Averaging method for the stability analysis of strongly nonlinear mechanical systems

Author(s) :

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

Journal title :

Automatica

Publisher :

Elsevier

Publication date :

2022

ISSN :

0005-1098

English keyword(s) :

nonlinear mechanical system
nonstationary perturbations
averaging
asymptotic stability
Lyapunov function

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

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

Source :

Harvested from HAL