Grey-box state-space identification of nonlinear mechanical vibrations

Nonlinear system identification; Nonlinear mechanical vibrations; Grey-box modelling; Semi-physical modelling; State-space equations; Silverbox benchmark; Nonlinear beam benchmark

Abstract :

[en] The present paper deals with the identification of nonlinear mechanical vibrations. A grey-box, or semi-physical, nonlinear state-space representation is introduced, expressing the nonlinear basis functions using a limited number of measured output variables. This representation assumes that the observed nonlinearities are localised in physical space, which is a generic case in mechanics. A two-step identification procedure is derived for the grey-box model parameters, integrating nonlinear subspace initialisation and weighted least-squares optimisation. The complete procedure is applied to an electrical circuit mimicking the behaviour of a single–input, single–output (SISO) nonlinear mechanical system and to a single–input, multiple–output (SIMO) geometrically nonlinear beam structure.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Noël, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Schoukens, Johan; Vrije Universiteit Brussel - VUB > ELEC Department

Language :

English

Title :

Grey-box state-space identification of nonlinear mechanical vibrations

Publication date :

April 2017

Journal title :

International Journal of Control

ISSN :

0020-7179

Publisher :

Taylor & Francis, United Kingdom

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]

Available on ORBi :

since 23 January 2018

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