Title :
Interpolation method of nonlinear dynamical systems identification based on volterra model in frequency domain
Author :
Pavlenko, Vitaliy ; Pavlenko, Sergei ; Speranskyy, Viktor
Author_Institution :
ICS, Odessa Nat. Polytech. Univ., Odessa, Ukraine
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.
Keywords :
Volterra series; frequency-domain analysis; identification; interpolation; nonlinear dynamical systems; signal processing; Volterra model; amplitude-frequency characteristics; frequency domain; informational model; interpolation method; nonlinear dynamical system identification; partial derivative; phase-frequency characteristics; polyharmonic signal; test signal amplitude; Frequency control; Harmonic analysis; Interpolation; Kernel; Mathematical model; Nonlinear dynamical systems; Object recognition; Volterra models; communication channels; identification; multifrequency characteristics; nonlinear dynamic systems; polyharmonic signals;
Conference_Titel :
Intelligent Data Acquisition and Advanced Computing Systems (IDAACS), 2013 IEEE 7th International Conference on
Conference_Location :
Berlin
Print_ISBN :
978-1-4799-1426-5
DOI :
10.1109/IDAACS.2013.6662664