Interpolation method of nonlinear dynamical systems identification based on volterra model in frequency domain

Abstract

The accuracy of the interpolation method of nonlinear dynamical systems identification based on the Volterra model in the frequency domain is studied in this paper. To extract the n-th partial component in the response of the system to the test signal the n-th partial derivative of the response using the test signal amplitude is found and its value is taken at zero. The polyharmonic signals are used as the test ones. The algorithmic and software toolkit in Matlab is developed for identification processes. This toolkit is used for constructing the informational model of test system. The model is built as a first, second and third order amplitude-frequency and phase-frequency characteristics. The comparison of obtained characteristics with previous works is given.