Reference : A comparison of grey-box and black-box approaches in nonlinear state-space modelling ...
Scientific congresses and symposiums : Unpublished conference/Abstract
Engineering, computing & technology : Aerospace & aeronautics engineering
http://hdl.handle.net/2268/179599
A comparison of grey-box and black-box approaches in nonlinear state-space modelling and identification
English
Noël, Jean-Philippe mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
Schoukens, Johan [Vrije Universiteit Brussel - VUB > ELEC > > >]
Kerschen, Gaëtan mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
Mar-2015
No
No
International
Benelux Meeting on Systems and Control 2015
24 March 2015 to 26 March 2015
[en] Nonlinear system identification ; State-space models ; Grey-box models
[en] In the present contribution, it is shown that, in the case of mechanical systems where nonlinearities are physically localised, the general structure of black-box nonlinear state-space models can be drastically simplified. A more parsimonious, grey-box state-space representation is derived, which is found to be compatible with Newton's second law of dynamics. For demonstration purposes, black-box and grey-box state-space models of the Silverbox benchmark, i.e. an electrical mimicry of a single-degree-of-freedom mechanical system with cubic nonlinearity, are identified using a maximum likelihood estimator. It is found that the grey-box approach allows to reduce markedly modelling errors with respect to a black-box model with a comparable number of parameters. It is also suggested that the greater accuracy of the grey-box model lends itself to the computation of reliable confidence bounds on the model parameters.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS
http://hdl.handle.net/2268/179599

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