Owing to the highly nonlinear hysteresis behavior in wire rope isolator, the system identification procedure is not a trivial task compared to some other systems. In this work, Fourier series method is used to expand the residue function as defined in the context, then a Nonlinear least square minimization function is invoked to search for the system parameters. Several numerical examples were examined utilizing the proposed algorithm. Finally Both Standard and normalized Bouc-Wen hysteresis model are compared.
