An addendum to continuous-time dynamic system identification with multisine random excitations - From frequency response to transfer function

In this paper an approximation algorithm allowing to calculate parameters of rational and fractional continuous-time transfer functions as well as transfer functions being their series connections with delay from the identified frequency response is proposed. Parameters of the mentioned transfer functions are obtained by an optimisation algorithm utilizing ideas of randomized search. The presented discussion is illustrated by simulation experiments devoted to calculating parameters of rational, rational with delay and fractional with delay transfer function approximations. The corresponding frequency responses are identified using an approach in which as an excitation are used realisations of continuous-time multisine random processes.