• DocumentCode
    1308100
  • Title

    Sensitivity integrals and transformation techniques: a new perspective

  • Author

    Chen, Jie

  • Author_Institution
    Coll. of Eng., California Univ., Riverside, CA, USA
  • Volume
    42
  • Issue
    7
  • fYear
    1997
  • fDate
    7/1/1997 12:00:00 AM
  • Firstpage
    1037
  • Lastpage
    1044
  • Abstract
    We provide alternative proofs for the classical Bode and Poisson-type sensitivity integrals and their extensions for both continuous-time and discrete-time systems. Our derivation uses the well-known properties of Laplace and Z transformations. This derivation helps establish a connection between Bode and Poisson-type sensitivity integrals and Laplace and Z transforms, hence providing an alternative perspective in interpreting these fundamental integral results
  • Keywords
    Laplace transforms; Z transforms; continuous time systems; discrete time systems; integral equations; sensitivity; Bode-type sensitivity integrals; Poisson-type sensitivity integrals; transformation techniques; Bandwidth; Discrete transforms; Feedback; Frequency; Integral equations; Poles and zeros; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.599991
  • Filename
    599991