Title: Sensitivity and validity study of generalised frequency response functions

Authors: Liang-Min Li, Steve A. Billings

Addresses: Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK. ' Department of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK

Abstract: For linear systems the frequency response function (FRF) can be considered as inherent and invariant, that is, totally independent of input signals, which makes it powerful in many applications such as design, analysis and control. While for the weakly non-linear systems where generalised frequency response functions (GFRFs) play a similar role as the FRF to linear systems, the interpretations of the GFRFs with respect to different input situations can be argued. In this paper the dependence and independence of input signal amplitudes for generalised frequency response functions are discussed based on parametric modelling.

Keywords: weakly nonlinear systems; generalised FRF; frequency response function; GFRF; NARX; parametric modelling.

DOI: 10.1504/IJCAT.2011.042231

International Journal of Computer Applications in Technology, 2011 Vol.41 No.1/2, pp.48 - 52

Available online: 01 Sep 2011 *

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