Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design

A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-nonlinear characteristic output spectrum (nCOS). The nCOS function is an analytical and explicit expression for the relationship between nonlinear output spectrum...

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Published inIEEE/ASME transactions on mechatronics Vol. 19; no. 1; pp. 171 - 183
Main Author Jing, Xingjian
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2014
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Abstract A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-nonlinear characteristic output spectrum (nCOS). The nCOS function is an analytical and explicit expression for the relationship between nonlinear output spectrum and system characteristic parameters of interest (including frequency, nonlinear parameters, and excitation magnitude), and can provide a significant insight into nonlinear analysis and design in the frequency domain. Given some simulation or experimental output data of a nonlinear system, the nCOS function of the system can be accurately determined up to any high nonlinear orders with less simulation trials and computation cost compared with a pure simulation-based study or traditional theoretical computations. Moreover, the method can also be used to accurately determine the linear and nonlinear components in the nonlinear output frequency response (or an output spectrum) of a nonlinear system. These results are definitely of significance to nonlinear analysis and design, nonlinear signal processing, system identification, fault detection, etc., in practice. Examples and case studies including analysis of a nonlinear vehicle suspension system are given to illustrate the results.
AbstractList A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-nonlinear characteristic output spectrum (nCOS). The nCOS function is an analytical and explicit expression for the relationship between nonlinear output spectrum and system characteristic parameters of interest (including frequency, nonlinear parameters, and excitation magnitude), and can provide a significant insight into nonlinear analysis and design in the frequency domain. Given some simulation or experimental output data of a nonlinear system, the nCOS function of the system can be accurately determined up to any high nonlinear orders with less simulation trials and computation cost compared with a pure simulation-based study or traditional theoretical computations. Moreover, the method can also be used to accurately determine the linear and nonlinear components in the nonlinear output frequency response (or an output spectrum) of a nonlinear system. These results are definitely of significance to nonlinear analysis and design, nonlinear signal processing, system identification, fault detection, etc., in practice. Examples and case studies including analysis of a nonlinear vehicle suspension system are given to illustrate the results.
Author Xingjian Jing
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Cites_doi 10.1080/00207179008953572
10.1080/00207179608921655
10.1016/j.automatica.2006.11.013
10.1080/00207179608921674
10.1109/TMECH.2011.2151204
10.1002/mmce.4570010104
10.1016/j.ymssp.2007.06.010
10.1887/0750303565
10.1016/j.sysconle.2011.01.003
10.1080/00207170701636542
10.1016/j.automatica.2012.08.004
10.1080/00207170500144417
10.1016/j.ymssp.2005.10.013
10.1007/978-1-4471-0107-9
10.1016/j.jsv.2011.06.015
10.1016/j.jsv.2005.11.013
10.1016/j.ijnonlinmec.2010.04.002
10.1504/IJMIC.2008.020543
10.1080/00207178908953474
10.1109/TMECH.2011.2107331
10.1109/TAC.1959.6429401
10.1016/j.jsv.2008.01.043
10.1109/TCS.1985.1085649
10.1080/00207170010030144
10.1109/TMECH.2010.2096473
10.1006/mssp.1996.0080
10.1016/j.jsv.2008.01.014
10.1109/TAC.2010.2091435
10.1080/00423110412331290455
10.1109/TMECH.2011.2128339
10.1016/j.jsv.2010.02.026
10.1016/j.jmaa.2008.11.007
10.1080/00207170600861019
10.1109/TMECH.2009.2020737
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References ref13
ref34
ref12
rugh (ref4) 1981
ref37
ref15
ref36
ref14
ref31
ref30
ref33
ref11
ref32
ref10
young (ref35) 1985
ref39
ref17
ref38
ref16
ref19
ref18
judd (ref1) 1998
ref24
ref23
ref26
ref25
ref20
ref22
ref21
mees (ref2) 1981
(ref8) 0
ref28
doyle (ref29) 2002
ref7
ref9
ahn (ref27) 2010; 15
ref3
ref6
ref5
References_xml – ident: ref10
  doi: 10.1080/00207179008953572
– ident: ref16
  doi: 10.1080/00207179608921655
– ident: ref22
  doi: 10.1016/j.automatica.2006.11.013
– ident: ref14
  doi: 10.1080/00207179608921674
– ident: ref32
  doi: 10.1109/TMECH.2011.2151204
– start-page: 1
  year: 1985
  ident: ref35
  article-title: The instrumental variable method: A practical approach to identification and parameter estimation
  publication-title: Proc 7th IFAC/IFORS Symp Ident Syst Parameter Estimation
  contributor:
    fullname: young
– ident: ref3
  doi: 10.1002/mmce.4570010104
– ident: ref18
  doi: 10.1016/j.ymssp.2007.06.010
– ident: ref5
  doi: 10.1887/0750303565
– year: 1981
  ident: ref2
  publication-title: Dynamics of Feedback Systems
  contributor:
    fullname: mees
– ident: ref25
  doi: 10.1016/j.sysconle.2011.01.003
– ident: ref23
  doi: 10.1080/00207170701636542
– ident: ref26
  doi: 10.1016/j.automatica.2012.08.004
– ident: ref15
  doi: 10.1080/00207170500144417
– ident: ref19
  doi: 10.1016/j.ymssp.2005.10.013
– year: 2002
  ident: ref29
  publication-title: Identification and control using Volteira models
  doi: 10.1007/978-1-4471-0107-9
  contributor:
    fullname: doyle
– year: 1998
  ident: ref1
  publication-title: Numerical Methods in Economics
  contributor:
    fullname: judd
– ident: ref11
  doi: 10.1016/j.jsv.2011.06.015
– ident: ref24
  doi: 10.1016/j.jsv.2005.11.013
– ident: ref13
  doi: 10.1016/j.ijnonlinmec.2010.04.002
– ident: ref28
  doi: 10.1504/IJMIC.2008.020543
– year: 0
  ident: ref8
– ident: ref9
  doi: 10.1080/00207178908953474
– ident: ref37
  doi: 10.1109/TMECH.2011.2107331
– year: 1981
  ident: ref4
  publication-title: Nonlinear System Theory The Volterra/Wiener Approach
  contributor:
    fullname: rugh
– ident: ref34
  doi: 10.1109/TAC.1959.6429401
– ident: ref20
  doi: 10.1016/j.jsv.2008.01.043
– ident: ref6
  doi: 10.1109/TCS.1985.1085649
– ident: ref12
  doi: 10.1080/00207170010030144
– ident: ref38
  doi: 10.1109/TMECH.2010.2096473
– ident: ref30
  doi: 10.1006/mssp.1996.0080
– ident: ref36
  doi: 10.1016/j.jsv.2008.01.014
– ident: ref7
  doi: 10.1109/TAC.2010.2091435
– ident: ref33
  doi: 10.1080/00423110412331290455
– ident: ref39
  doi: 10.1109/TMECH.2011.2128339
– ident: ref17
  doi: 10.1016/j.jsv.2010.02.026
– ident: ref31
  doi: 10.1016/j.jmaa.2008.11.007
– ident: ref21
  doi: 10.1080/00207170600861019
– volume: 15
  start-page: 136
  year: 2010
  ident: ref27
  article-title: Inverse double NARX fuzzy modeling for system identification
  publication-title: IEEE/ASME Trans Mechatronics
  doi: 10.1109/TMECH.2009.2020737
  contributor:
    fullname: ahn
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Snippet A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept-nonlinear...
A systematic method for nonlinear analysis, design, and estimation in the frequency domain is proposed in this study using a new concept--nonlinear...
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SubjectTerms Bandwidths
Computation
Computational modeling
Computer simulation
Data models
Design engineering
Dynamical systems
Estimation
Frequency domain
Frequency domain analysis
Frequency domains
Mathematical analysis
Mathematical models
nonlinear output spectrum
Nonlinear systems
Nonlinearity
Polynomials
signal processing
Vectors
vehicle suspension system
Title Nonlinear Characteristic Output Spectrum for Nonlinear Analysis and Design
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