Frequency identification of nonparametric Wiener systems containing backlash nonlinearities

Authors:
F. Giri;Y. Rochdi;A. Radouane;A. Brouri;F. Z. Chaoui
Affiliations:
GREYC Lab, UMR CNRS, University of Caen Basse-Normandie, 14032 Caen, France;FSTG, University Cadi Ayyad, Marrakech, Morocco;ENSET, University Mohammed V-Souissi, Rabat, Morocco;ENSET, University Mohammed V-Souissi, Rabat, Morocco;ENSET, University Mohammed V-Souissi, Rabat, Morocco
Venue:
Automatica (Journal of IFAC)
Year:
2013

Citing 7
Cited 0

Maximum likelihood identification of Wiener models

Automatica (Journal of IFAC)
Towards identification of Wiener systems with the least amount of a priori information: IIR cases

Automatica (Journal of IFAC)
Recursive identification algorithm for dynamic systems with output backlash and its convergence

International Journal of Applied Mathematics and Computer Science - Special Section: Robot Control Theory Cezary Zielinski
MINLIP for the identification of monotone Wiener systems

Automatica (Journal of IFAC)
A blind approach to the Hammerstein-Wiener model identification

Automatica (Journal of IFAC)
Frequency domain identification of Wiener models

Automatica (Journal of IFAC)
Strong consistence of recursive identification for Wiener systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.14

Visualization

Abstract

This paper addresses the problem of identifying Wiener systems constituted of nonparametric linear dynamics and backlash nonlinearities. The linear subsystem is arbitrary but stable. The backlash nonlinearity borders are almost arbitrary-shape. In particular, these are allowed to be nonsmooth, noninvertible and crossing. A frequency identification method is developed to estimate the system frequency response function (at a given set of frequencies) and the backlash nonlinearity borders (within a given working domain). The identification method involves sine excitations and consistent estimators designed using analytic geometry tools, e.g. fictive limit cycles; informative backlash limit cycles; spread- and orientation-compatibility.