Brief paper: Identification of Hammerstein systems in presence of hysteresis-backlash and hysteresis-relay nonlinearities

Authors:
F. Giri;Y. Rochdi;F. Z. Chaoui;A. Brouri
Affiliations:
GREYC, Université de Caen, France;LAII, EMI, Rabat, Morocco;LAII, EMI, Rabat, Morocco;LAII, EMI, Rabat, Morocco
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

The problem of identifying Hammerstein systems (HamSys) is addressed in presence of hysteresis-backlash (HB) and hysteresis-relay (HR) nonlinearities. The memory feature makes it impossible to get a system parameterization involving linearly all unknown parameters. Therefore, the linear subsystem and the nonlinear element are estimated separately. The identification process involves appropriate system parameterizations and least-squares like parameter estimators. Specific input signals are designed to guarantee persistent excitation (PE) and estimator consistency.