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Frequency Identification of Hammerstein-Wiener Systems with Backlash Input Nonlinearity
Adil Brouri,Laila Kadi,Smail Slassi 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.5
The problem of system identification is addressed for Hammerstein-Wiener systems that involve memoryoperator of backlash type bordered by straight lines as input nonlinearity. The system identification of this model isinvestigated 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 linearsubsystem lead to a highly nonlinear identification problem. Presently, the output nonlinearity may be noninvertibleand the linear subsystem may be nonparametric. Interestingly, the system nonlinearities are identified first using apiecewise constant signal. In turn, the linear subsystem is identified using a frequency approach.