|Frequency Identification of Hammerstein-Wiener Systems with Backlash Input Nonlinearity
Adil Brouri*, Laila Kadi, and Smail Slassi
International Journal of Control, Automation, and Systems, vol. 15, no. 5, pp.2222-2232, 2017
Abstract : "The problem of system identification is addressed for Hammerstein-Wiener systems that involve memory
operator of backlash type bordered by straight lines as input nonlinearity. The system identification of this model is
investigated by using easily generated excitation signals. Moreover, the prior knowledge of the nonlinearity type,
being backlash or backlash-inverse, is not required. The nonlinear dynamics and the unknown structure of the linear
subsystem lead to a highly nonlinear identification problem. Presently, the output nonlinearity may be noninvertible
and the linear subsystem may be nonparametric. Interestingly, the system nonlinearities are identified first using a
piecewise constant signal. In turn, the linear subsystem is identified using a frequency approach."
Backlash-inverse operator, backlash operator, Fourier expansions, Hammerstein systems, Wiener systems.