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Identification of complex nonlinearities using cubic splines with automatic discretization
Dossogne, Tilàn; Noël, Jean-Philippe; Kerschen, Gaëtan
2017In Proceedings of the International Modal Analysis Conference (IMAC) XXXV
 

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Keywords :
cubic splines; nonsmooth nonlinearity; nonlinear system identification; subspace algorithm; automatic splines discretization; constrained optimization
Abstract :
[en] One of the major challenges in nonlinear system identification is the selection of appropriate mathematical functions to model the observed nonlinearities. In this context, piecewise polynomials, or splines, offer a simple and flexible representation basis requiring limited prior knowledge. The generally-adopted discretization for splines consists in an even distribution of their control points, termed knots. While this may prove successful for simple nonlinearities, a more advanced strategy is needed for nonlinear restoring forces with strong local variations. The present paper specifically introduces a two-step methodology to select automatically the location of the knots. It proposes to derive an initial model, using nonlinear subspace identification, and incorporating cubic spline basis functions with fixed and equally-spaced abscissas. In a second step, the location of the knots is optimized iteratively by minimizing a least-squares cost function. A single-degree-of-freedom system with a discontinuous stiffness characteristic is considered as a case study.
Disciplines :
Aerospace & aeronautics engineering
Mechanical engineering
Author, co-author :
Dossogne, Tilàn ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Noël, Jean-Philippe ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Kerschen, Gaëtan  ;  Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Identification of complex nonlinearities using cubic splines with automatic discretization
Publication date :
January 2017
Event name :
International Modal Analysis Conference (IMAC) XXXV
Event organizer :
Society for Experimental Mechanics (SEM
Event place :
Garden Grove, United States - California
Event date :
du 30 janvier au 2 février 2017
Main work title :
Proceedings of the International Modal Analysis Conference (IMAC) XXXV
Available on ORBi :
since 10 February 2017

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