Output frequency response function based analysis for nonlinear Volterra systems

Jing, Xing Jian, Lang, Zi Qiang and Billings, Stephen A. (2008) Output frequency response function based analysis for nonlinear Volterra systems. Mechanical Systems and Signal Processing, 22 (1), 102-120. (doi:10.1016/j.ymssp.2007.06.010).

Record type: Article

Abstract

This paper deals with the frequency domain analysis of nonlinear systems based on some recently developed results. A new systematic approach to the analysis and design of system output frequency response in terms of system time domain model parameters is proposed for nonlinear Volterra systems. A general procedure to conduct an output frequency response function (OFRF)-based analysis is given, the potential applications of the OFRF-based analysis are discussed, and some useful results and techniques are established, especially for the analysis of nonlinear systems with respect to any specific model parameters. These results facilitate and illustrate the practical application of the new method. A case study for the analysis of a mechanical system is provided to illustrate this new method.

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