A. Beghi et al., APPROXIMATING DELAY ELEMENTS BY FEEDBACK, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 44(9), 1997, pp. 824-828
A procedure for obtaining a proper rational approximant of the transfe
r function of a delayor is suggested. In particular, the step response
of the unity-feedback system with the delayor in the direct path is f
irst approximated by truncating the Fourier series expansion of its pe
riodic component, and then the corresponding direct-path rational tran
sfer function is derived, thus arriving at a stable Blaschke product.