A Prony-like polynomial-based approach to model order reduction

Presented in this paper is a Prony-like polynomial-based method to identify reduced-order linear models using response-matching technique. Impulse and step inputs have been considered. The poles configuration is automatically chosen by the solution of a new regression equation which uses modified signals obtained directly from the responses. The approach uses the algebraic derivatives method in the frequency domain yielding exact formula in terms of multiple integrals of the signal, when placed in the time domain. The effectiveness of the proposed method is shown by simulated experiments.