Abstract
AbstractModel identification is addressed for nonparametric Hammerstein-Wiener systems. Interestingly, both input and output nonlinearities are allowed to be non smooth and noninvertible. A frequency identification method is developed that determines the linear subsystem frequency response (at a number of frequencies) and the input and output nonlinearities within a given working interval. It is shown that if the system is excited by a conveniently pulse-width modulation (PWM) signal then, the underlying Wiener subsystem turns out to be excited by a known sinusoidal signal. A frequency-decoupling of the Wiener subsystem (from the input nonlinearity) can thus be realized making possible its frequency identification. Based upon the estimated Wiener model, the input nonlinearity is in turn identified applying PWM input signals repeatedly with fixed frequency but different amplitude.
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