Speaker
Description
A novel method to identify the transfer functions of single-input-single-output linear time invariant (SISO-LTI) dynamical systems is proposed. The proposed approach uses an operator based generalization of Prony’s classical parameter estimation method. In this work, generalized Prony schemes are used to reconstruct the transfer function of the system as a linear combination of rational basis functions. Rational orthogonal expansions of the frequency response are also levaraged to improve the numerical stability of the considered algorithms. It is shown, that the discussed algorithms are robust to noise and unknown system order. In addition to theoretical considerations, the effectiveness of the method is demonstrated through experiments.
