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  • 标题:Bode Integral: A Unifier of Control-Relevant Integral Relations
  • 本地全文:下载
  • 作者:Yanling Ding ; Hui Peng ; Junqi Ma
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2022
  • 卷号:55
  • 期号:25
  • 页码:97-102
  • DOI:10.1016/j.ifacol.2022.09.330
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractVarious frequency-domain integral formulas are available and can be used to characterize fundamental performance limitations and inherent performance tradeoffs in feedback systems design, and often they appear unrelated. The most exemplary result in this spirit is the Bode sensitivity integral relation. Yet in an interesting finding, in this paper we show that the Bode sensitivity integral can serve as a unifier to link all other integral formulas, including the complementary sensitivity integrals, the Poisson integrals, and the Bode gain-phase integrals, though traditionally they were derived in different ways and have been used for different performance objectives.
  • 关键词:KeywordsConformal mapBode sensitivity integralsintegral relationsLTI feedback systemscontrol performance limitation
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