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We present an improved parameter decoupling algorithm in estimating parameters that characterize the numerator and denominator of transfer function polynomials using the Adaptive Weighted Least Squares arising (AWLS) and Weighted Least Squares (WLS) from Fourier moment functionals of the Shinbrot type. This algorithm gives more accurate estimates and uses less computation than Pearson’s algorithm. Also, simulation example shows that this algorithm can be applied for the frequency analysis of lightly damped systems for which establishing steady state or stationary operation may require unreasonably long settling times.

AN ACCURATE AND EFFICIENT PARAMETER DECOUPLING FOR TRANSFER FUNCTION IDENTIFICATION