Jump resonance analysis for systems with parametric uncertainties

Li Shan Ma*, Chih Hung Wu, Jieh La Jaw, Bing-Fei Wu, Jau Woei Perng

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

In this paper, the extended Fukuma and Matsubara's criterion incorporating with Kharitonov Theorem are applied to analyze the jump resonance phenomena of the uncertain nonlinear feedback systems whose linear plants containing time invariance interval parameters. By extended Fukuma and Matsubara's criterion, the derived critical cycloid can be determined from the nonlinearity in the nonlinear feedback system. Then, by Kharitonov Theorem, Nyquist envelops of the inverse uncertain linear plants can formed by different templates respect to the individual frequency. According to Nyquist envelops passing through the critical cycloid or not, we can judge the jump resonance may or never occur. The simulation results show the effectiveness of this extension application.

Original languageEnglish
Title of host publicationProceedings - 2010 International Conference on Broadband, Wireless Computing Communication and Applications, BWCCA 2010
Pages654-659
Number of pages6
DOIs
StatePublished - 1 Dec 2010
Event5th International Conference on Broadband Wireless Computing, Communication and Applications, BWCCA 2010 - Fukuoka, Japan
Duration: 4 Nov 20106 Nov 2010

Publication series

NameProceedings - 2010 International Conference on Broadband, Wireless Computing Communication and Applications, BWCCA 2010

Conference

Conference5th International Conference on Broadband Wireless Computing, Communication and Applications, BWCCA 2010
CountryJapan
CityFukuoka
Period4/11/106/11/10

Keywords

  • Frequency response
  • Fukuma and Matsubara criterion
  • Interval uncertainty
  • Jump resonance
  • Kharitonov Theorem
  • Nyquist envelop

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