Title :
A modified Volterra series approach for nonlinear dynamic systems modeling
Author :
Mirri, Domenico ; luculano, G. ; Filicori, Fabio ; Pasini, Gaetano ; Vannini, Giorgio ; Gabriella, G.P.
Author_Institution :
Dipt. di Ingegneria Elettrica, Bologna Univ., Italy
fDate :
8/1/2002 12:00:00 AM
Abstract :
This paper describes a modeling approach for nonlinear dynamic systems based on a modified Volterra series; by comparing the truncation error of this series with that of the classical Volterra one, we outlined that, under the assumption of short-term nonlinear memory effects, the modified series enables a single-fold nonlinear convolution integral to be adopted also in the presence of strong nonlinearities. The measurement-based identification of the first terms of the modified Volterra series is described; experimental and simulation results which confirm the theoretical considerations are also provided.
Keywords :
Volterra series; nonlinear dynamical systems; modified Volterra series model; nonlinear convolution integral; nonlinear dynamic system; nonlinear memory effect; truncation error; Bandwidth; Convolution; Finite wordlength effects; Microscopy; Modeling; Nonlinear dynamical systems; Nonlinear systems; Signal processing; Transfer functions; Voltmeters;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.801239