Truncation of Nonlinear System Expansions in the Frequency Domain
Billings, S.A. and Qiang Lang, Zi
(1996)
Truncation of Nonlinear System Expansions in the Frequency Domain.
Research Report.
ACSE Research Report 633
.
Department of Automatic Control and Systems Engineering
Abstract
The truncation of Volterra series expansions is studied using the output frequency characteristics of nonlinear systems to develop a new algorithm for determining the terms to include in a Volterra series expansion. The results show the influence of both the generalised frequency response functions and properties of the input spectra on the significance of individual terms in the series. The effectiveness of the proposed method is demonstrated using simulation studies including the analysis of a single degree mechanical oscillator. Because nonlinear system analysis using Volterra series theory must always be based on a truncated Volterra series description, the present study provides an effective strategy for determining which terms to include in the analysis of practical nonlinear systems based on the Volterra series models.
Metadata
Item Type:
Monograph
Authors/Creators:
Billings, S.A.
Qiang Lang, Zi
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
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