Title
A nonlinear state-space approach to hysteresis identification.
Abstract
Most studies tackling hysteresis identification in the technical literature follow white-box approaches, i.e. they rely on the assumption that measured data obey a specific hysteretic model. Such an assumption may be a hard requirement to handle in real applications, since hysteresis is a highly individualistic nonlinear behaviour. The present paper adopts a black-box approach based on nonlinear state-space models to identify hysteresis dynamics. This approach is shown to provide a general framework to hysteresis identification, featuring flexibility and parsimony of representation. Nonlinear model terms are constructed as a multivariate polynomial in the state variables, and parameter estimation is performed by minimising weighted least-squares cost functions. Technical issues, including the selection of the model order and the polynomial degree, are discussed, and model validation is achieved in both broadband and sine conditions. The study is carried out numerically by exploiting synthetic data generated via the Bouc–Wen equations.
Year
DOI
Venue
2016
10.1016/j.ymssp.2016.08.025
Mechanical Systems and Signal Processing
Keywords
Field
DocType
Hysteresis,Dynamic nonlinearity,Nonlinear system identification,Black-box method,State-space models
Nonlinear system,Control theory,Bouc–Wen model of hysteresis,Degree of a polynomial,Hysteresis,Nonlinear system identification,Control engineering,Synthetic data,State variable,State space,Mathematics
Journal
Volume
ISSN
Citations 
84
0888-3270
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Jean-Philippe Noël100.68
Alireza Fakhrizadeh Esfahani211.02
Gaetan Kerschen331.89
Johan Schoukens437658.12