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

2013 ◽  
Author(s):  
Vitaliy Pavlenko ◽  
Sergei Pavlenko ◽  
Viktor Speranskyy
Keyword(s):  
Dynamical Systems ◽  
Frequency Domain ◽  
Nonlinear Dynamical Systems ◽  
Interpolation Method ◽  
Volterra Model ◽  
Nonlinear Dynamical ◽  
Systems Identification

scholarly journals NOISE IMMUNITY RESEARCH FOR NONLINEAR DYNAMICAL SYSTEMS IDENTIFICATION BASED ON VOLTERRA MODEL IN FREQUENCY DOMAIN

2014 ◽  
pp. 34-41
Author(s):  
Vitaliy Pavlenko ◽  
Sergei Pavlenko ◽  
Viktor Speranskyy
Keyword(s):  
Dynamical Systems ◽  
Frequency Domain ◽  
Noise Immunity ◽  
Nonlinear Dynamical Systems ◽  
Interpolation Method ◽  
Test System ◽  
Volterra Model ◽  
Third Order ◽  
Nonlinear Dynamical ◽  
Systems Identification

The accuracy and noise immunity of the interpolation method of nonlinear dynamical systems identification based on the Volterra model in the frequency domain is studied in this paper. The polyharmonic signals are used for the testing the method. The algorithmic and software toolkit in Matlab is developed for the identification procedure. This toolkit is used to construct the informational models of test system and communication channel. 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. Wavelet denoising is studied and applied to reduce measurement noise.

Frequency domain conditions for the robust stability of linear and nonlinear dynamical systems

1991 ◽  
Vol 38 (4) ◽  
pp. 389-397 ◽  
Author(s):  
S. Dasgupta ◽  
P.J. Parker ◽  
B.D.O. Anderson ◽  
F.J. Kraus ◽  
M. Mansour
Keyword(s):  
Dynamical Systems ◽  
Frequency Domain ◽  
Robust Stability ◽  
Nonlinear Dynamical Systems ◽  
Nonlinear Dynamical ◽  
Linear And Nonlinear
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