Analysis of Identification Accuracy of Nonlinear System Based on Volterra Model in Frequency Domain

Vitaliy Pavlenko¹ and Viktor Speranskyy^2,

¹ICS, Odessa National Polytechnic University, Odessa, Ukraine

²BEITI, Odessa National Polytechnic University, Odessa, Ukraine

Cite this paper:
Vitaliy Pavlenko and Viktor Speranskyy. Analysis of Identification Accuracy of Nonlinear System Based on Volterra Model in Frequency Domain. American Journal of Modeling and Optimization. 2013; 1(2):11-18. doi: 10.12691/ajmo-1-2-2

Abstract

The accuracy of the interpolation method for identification of nonlinear dynamical systems based on the Volterra model in the frequency domain is studied. To highlight 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 test ones. The algorithmic and software toolkit is developed for identification processes. This toolkit is used to construct the informational model of test system. The model is built as a first, second and third order amplitude–frequency characteristics and phase–frequency characteristics. The comparison of obtained characteristics with standard is given.

Keywords:
identification nonlinear dynamic systems volterra models multifrequency characteristics polyharmonic signals communication channels

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