Mirri, Domenico ; Iuculano, Gaetano ; Filicori, Fabio ; Pasini, Gaetano ; Vannini, Giorgio ; Pellegrini Gualtieri, Gabriella
(2002)
A modified Volterra series approach for nonlinear dynamic systems modeling.
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 49
(8).
pp. 1118-1128.
ISSN 1057-7122
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Official URL: http://ieeexplore.ieee.org/iel5/81/22013/01023016.pdf?tp=&arnumber=1023016&isnumber=22013
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.
Abstract