Approximate Identification of Dynamical Systems

Usually, as the input data of the parametric identification methods in the frequency domain, the corresponding pairs of the “unit harmonic force excitation”—“steady state harmonic response” are considered. This paper deals with approximate identification of linear dynamical systems by time response on unknown initial displacement (or velocity) with the help of the Fourier transform. In this paper, basic analytical relationships and identification alternatives are analyzed. Formulae are completed and presented with special consideration given to the simplest one mass dynamical system.