• DocumentCode
    954208
  • Title

    Frequency domain uncertainty and the graph topology

  • Author

    Vinnicombe, Glenn

  • Author_Institution
    Dept. of Eng., Cambridge Univ., UK
  • Volume
    38
  • Issue
    9
  • fYear
    1993
  • fDate
    9/1/1993 12:00:00 AM
  • Firstpage
    1371
  • Lastpage
    1383
  • Abstract
    A new metric on linear, time-invariant systems is defined. This metric is no greater than the gap metric, and is in fact the smallest metric for which a certain robust stabilization result holds. Unlike other known metrics which induce the graph topology, it has a clear frequency response interpretation. This allows questions regarding robustness in the face of parametric uncertainty to be considered in terms of this metric
  • Keywords
    control system analysis; frequency response; frequency-domain analysis; stability; topology; transfer functions; feedback; frequency domain uncertainty; frequency response; graph topology; linear time invariant systems; metric; parametric uncertainty; robust stabilization; robustness; Feedback; Frequency domain analysis; Frequency response; Functional analysis; Image analysis; Robust stability; Robustness; Topology; Transfer functions; Uncertainty;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.237648
  • Filename
    237648