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  • Book
  • © 2015

Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion

A Parametric Characteristic Approach

Authors:

  1. Xingjian Jing

    1. The Hong Kong Polytechnic University, Hong Kong, China

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    You can also search for this author in PubMed   Google Scholar

  2. Ziqiang Lang

    1. The University of Sheffield, Sheffield, United Kingdom

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • A state-of-the-art summary of most important and recent advances in the area of frequency domain methods for nonlinear analysis developed in the past 20 years, and there is no other similar book
  • A systematic frequency domain method for nonlinear analysis and design based on Volterra series expansion, which is of both theoretical and application significance to all those researchers related to nonlinear systems
  • A very novel insight into nonlinear dynamics in the frequency domain, which is very different from all the other existing commonly-used methods such as harmonic balance and describing functions
  • A large amount of analysis and design results which demonstrate how to employ nonlinearity for a better system performance, and there is no other similar book for this topic
  • A very engineering point of view, which can greatly facilitate nonlinear analysis and design in practice
  • Includes supplementary material: sn.pub/extras

Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xv
    PDF

  2. Introduction

    • Xingjian Jing, Ziqiang Lang
    Pages 1-7

  4. Output Frequency Characteristics of Nonlinear Systems

    • Xingjian Jing, Ziqiang Lang
    Pages 31-52

  5. Parametric Characteristic Analysis

    • Xingjian Jing, Ziqiang Lang
    Pages 53-63

  8. The Parametric Characteristics Based Output Spectrum Analysis

    • Xingjian Jing, Ziqiang Lang
    Pages 113-131

  10. Nonlinear Characteristic Output Spectrum

    • Xingjian Jing, Ziqiang Lang
    Pages 153-177

  15. Parametric Convergence Bounds of Volterra-Type Nonlinear Systems

    • Xingjian Jing, Ziqiang Lang
    Pages 297-320

  16. Summary and Overview

    • Xingjian Jing, Ziqiang Lang
    Pages 321-324

  17. Back Matter

    Pages 325-331
    PDF
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About this book

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 8 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.  The book starts 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.
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Keywords

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Authors and Affiliations

  • The Hong Kong Polytechnic University, Hong Kong, China

    Xingjian Jing

  • The University of Sheffield, Sheffield, United Kingdom

    Ziqiang Lang

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Bibliographic Information

  • Book Title: Frequency Domain Analysis and Design of Nonlinear Systems based on Volterra Series Expansion

  • Book Subtitle: A Parametric Characteristic Approach

  • Authors: Xingjian Jing, Ziqiang Lang

  • Series Title: Understanding Complex Systems

  • DOI: https://doi.org/10.1007/978-3-319-12391-2

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-12390-5Published: 18 March 2015

  • Softcover ISBN: 978-3-319-38303-3Published: 09 October 2016

  • eBook ISBN: 978-3-319-12391-2Published: 17 February 2015

  • Series ISSN: 1860-0832

  • Series E-ISSN: 1860-0840

  • Edition Number: 1

  • Number of Pages: XV, 331

  • Number of Illustrations: 67 b/w illustrations

  • Topics: Complexity, Applications of Nonlinear Dynamics and Chaos Theory, Control, Robotics, Mechatronics

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Buy it now

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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