Measurement and identification of nonlinear systems consisting out of linear dynamic blocks and one static nonlinearity

This paper considers the measurement and the identification of nonlinear time-invariant single input-single output (SISO) systems, consisting out of a multivariable linear dynamic system and one static nonlinear SISO system. This includes Wiener-Hammerstein systems in a linear feedback loop. The non-parametric identification of the frequency response functions of the linear parts are obtained without measuring the signals over the static nonlinearity. Measurements on an electronic circuit demonstrate the usability of this identification scheme.