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Non-parametric identification of the linear dynamic parts of non-linear systems containing one static non-linearity

This paper considers the identification of nonlinear time-invariant single input-single output (SISO) systems, consisting of a multivariable linear dynamic system and one static SISO nonlinear system. This includes Wiener-Hammerstein models in a linear feedback loop. The paper presents a complete identification scheme (excitation and estimation) to identify the nonparametric frequency response functions of the linear parts using periodic multitone excitations. The proposed method is verified using simulations.