• DocumentCode
    894778
  • Title

    A shaping limitation of rational sensitivity functions with a degree constraint

  • Author

    Nagamune, Ryozo

  • Author_Institution
    Dept. of Mech. Eng., Univ. of California, Berkeley, CA, USA
  • Volume
    49
  • Issue
    2
  • fYear
    2004
  • Firstpage
    296
  • Lastpage
    300
  • Abstract
    This note concerns a certain shaping limitation of sensitivity functions. The focus is on a frequency-wise infimum of gains of rational sensitivity functions with a degree constraint. An explicit infimum is derived for a special case. The result is useful for determining the inability of sensitivity functions of low degrees to achieve a specification in the frequency domain, and thus for motivating the use of higher degree sensitivity functions to fulfill the specification.
  • Keywords
    concave programming; frequency-domain analysis; optimal control; pole assignment; sensitivity analysis; zero assignment; degree constraint; frequency domain; frequency-wise infimum of gains; nonconvex optimization problem; rational sensitivity functions; shaping limitation; Adaptive control; Councils; Design methodology; Feedback; Frequency domain analysis; Mechanical engineering; Poles and zeros; Stability; Transfer functions; Virtual reality;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2003.822841
  • Filename
    1266791
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=894778