System identification using associated linear equations

J. A. Vazquez Feijoo, K. Worden, R. Stanway

Research output: Contribution to journalArticle

27 Scopus citations


In this paper, analytical models of non-linear systems are obtained by identifying the frequency response functions (FRFs) of their associated linear equations (ALEs). This allows the use of several methods of identification in the frequency domain usually applicable to linear systems. Among other advantages, the cumbersome multidimensional Fourier Transformation required in higher-order frequency response functions (HFRFs) analysis is eliminated. Two theoretical systems are used here as examples, an electrostrictive actuator and a Duffing oscillator. The concept of the non-linear gain constant arises as a simple means of identification. © 2003 Elsevier Ltd. All rights reserved.
Original languageAmerican English
Pages (from-to)431-455
Number of pages25
JournalMechanical Systems and Signal Processing
StatePublished - 1 Jan 2004
Externally publishedYes


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