A method for nonlinear system classification in the time-frequency plane

Lorenzo Galleani

doi:10.1016/S0165-1684(98)00029-2

A method for nonlinear system classification in the time-frequency plane

1998-02-01

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Alessandro De Stefano

DOI：10.1016/S0165-1684(98)00029-2

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This paper presents a new method for the classification of nonlinear systems based on the time-frequency analysis of the free oscillations. In particular, oscillators described by a nonlinear second-order differential equation are considered. The nonlinearity is due to a nonlinear function of the state variable, which produces free oscillations with a time-variant spectrum. The classification is based on two different estimates of the fundamental frequency of the free oscillations. The comparison between the two estimates allows a very efficient system classification. Both the proposed estimators and the way of combining the two estimates are new. Validation tests have shown the high performances of the proposed technique. (C) 1998 Elsevier Science B.V. All rights reserved.

Keyword:

system classification

nonlinear oscillations

time-frequency analysis

A method for nonlinear system classification in the time-frequency plane

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