Frequency domain analysis and design of nonlinear systems based on Volterra series expansion [electronic resource] : a parametric characteristic approach / Xingjian Jing, Ziqiang Lang.
Jing, Xingjian, author.; Lang, Ziqiang, author.
2015
QA427
Available Online

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Title Frequency domain analysis and design of nonlinear systems based on Volterra series expansion [electronic resource] : a parametric characteristic approach / Xingjian Jing, Ziqiang Lang.
Author Jing, Xingjian, author.
ISBN 9783319123912 electronic book
3319123912 electronic book
9783319123905
DOI https://doi.org/10.1007/978-3-319-12391-2
Published Cham : Springer, 2015.
Language English
Description 1 online resource (xv, 331 pages) : illustrations.
Item Number 10.1007/978-3-319-12391-2 doi
Call Number QA427
Dewey Decimal Classification 003/.75
Summary This book is a systematic summary of some new advances in the area of nonlinear analysis and design in the frequency domain, focusing on the application oriented theory and methods based on the GFRF concept, which is mainly done by the author in the past℗ℓ8 years. The main results are formulated uniformly with a parametric characteristic approach, which provides a convenient and novel insight into nonlinear influence on system output response in terms of characteristic parameters and thus facilitate nonlinear analysis and design in the frequency domain. ℗ℓThe book℗ℓstarts with a brief introduction to the background of nonlinear analysis in the frequency domain, followed by recursive algorithms for computation of GFRFs for different parametric models, and nonlinear output frequency properties. Thereafter the parametric characteristic analysis method is introduced, which leads to the new understanding and formulation of the GFRFs, and nonlinear characteristic output spectrum (nCOS) and the nCOS based analysis and design method. Based on the parametric characteristic approach, nonlinear influence in the frequency domain can be investigated with a novel insight, i.e., alternating series, which is followed by some application results in vibration control. Magnitude bounds of frequency response functions of nonlinear systems can also be studied with a parametric characteristic approach, which result in novel parametric convergence criteria for any given parametric nonlinear model whose input-output relationship allows a convergent Volterra series expansion. This book targets those readers who are working in the areas related to nonlinear analysis and design, nonlinear signal processing, nonlinear system identification, nonlinear vibration control, and so on. It particularly serves as a good reference for those who are studying frequency domain methods for nonlinear systems.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed February 27, 2015).
Added Author Lang, Ziqiang, author.
Series Understanding complex systems.
Springer complexity.
Available in Other Form Print version: 9783319123905
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1 Introduction.- 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems
3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics
Some Theoretical Issues
9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study
11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum
12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions
14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems
15 Summary and Overview.- References. 2 The Generalized Frequency Response Functions and Output Spectrum of Nonlinear Systems
3 Output Frequency Characteristics of Nonlinear Systems.- 4 Parametric Characteristic Analysis (PCA).- 5 The Parametric Characteristics of the GRFRs and the Parametric Characteristics Based Analysis.- 6 The Parametric Characteristics of Nonlinear Output Spectrum and Applications.- 7 The Parametric Characteristics Based Output Spectrum Analysis.- 8 Determination of Nonlinear Output Spectrum Based on its Parametric Characteristics
Some Theoretical Issues
9 Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design.- 10 Using Nonlinearity for Output Vibration Suppression: An Application Study
11 Mapping from Parametric Characteristics to the GFRFs and Output Spectrum
12 Nonlinear Influence in the Frequency Domain: Alternating Series.- 13 Magnitude Bound Characteristics of Nonlinear Frequency Response Functions
14 Parametric Convergence Bounds of Volterra-Type Nonlinear Systems
15 Summary and Overview.- References.

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