System identification of a class of Wiener systems with hysteretic nonlinearities
Abdelhadi Radouane
ENSET, University of Mohammed V, Rabat, Morocco
Search for more papers by this authorCorresponding Author
Fouad Giri
Université Normandie, UNICAEN, ENSICAEN, GREYC, 14032 Caen, France
Correspondence to: Fouad Giri, Normandie Université, UNICAEN, ENSICAEN, GREYC 14032 Caen, France.
E-mail: [email protected]
Search for more papers by this authorFaycal Ikhouane
Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, Barcelona, 08036 Spain
Search for more papers by this authorTarek Ahmed-Ali
Université Normandie, UNICAEN, ENSICAEN, GREYC, 14032 Caen, France
Search for more papers by this authorFatima-Zahra Chaoui
ENSET, University of Mohammed V, Rabat, Morocco
Search for more papers by this authorAdil Brouri
ENSAM, University of Moulay Ismail, Meknes, Morocco
Search for more papers by this authorAbdelhadi Radouane
ENSET, University of Mohammed V, Rabat, Morocco
Search for more papers by this authorCorresponding Author
Fouad Giri
Université Normandie, UNICAEN, ENSICAEN, GREYC, 14032 Caen, France
Correspondence to: Fouad Giri, Normandie Université, UNICAEN, ENSICAEN, GREYC 14032 Caen, France.
E-mail: [email protected]
Search for more papers by this authorFaycal Ikhouane
Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, Barcelona, 08036 Spain
Search for more papers by this authorTarek Ahmed-Ali
Université Normandie, UNICAEN, ENSICAEN, GREYC, 14032 Caen, France
Search for more papers by this authorFatima-Zahra Chaoui
ENSET, University of Mohammed V, Rabat, Morocco
Search for more papers by this authorAdil Brouri
ENSAM, University of Moulay Ismail, Meknes, Morocco
Search for more papers by this authorSummary
Existing works on Wiener system identification have essentially been focused on the case where the output nonlinearity is memoryless. When memory nonlinearities have been considered, the focus has been restricted to backlash like nonlinearities. In this paper, we are considering Wiener systems where the output nonlinearity is a general hysteresis operator captured by the well-known Bouc–Wen model. The Wiener system identification problem is addressed by making use of a steady-state property, obtained in periodic regime, referred to as ‘hysteretic loop assumption’. The complexity of this problem comes from the system nonlinearity as well as its unknown parameters that enter in a non-affine way in the model. It is shown that the linear part of the system is accurately identified using a frequency method. Then, the nonlinear hysteretic subsystem is identified, on the basis of a parameterized representation, using a prediction-error approach. Copyright © 2016 John Wiley & Sons, Ltd.
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