• DocumentCode
    3475026
  • Title

    Review of LFTs, LMIs, and μ

  • Author

    Doyle, John ; Packard, Andy ; Zhou, Kemin

  • Author_Institution
    Dept. of Electr. Eng., Caltech, Pasadena, CA, USA
  • fYear
    1991
  • fDate
    11-13 Dec 1991
  • Firstpage
    1227
  • Abstract
    The authors present a tutorial overview of linear fractional transformations (LFTs) and the role of the structured singular value, μ, and linear matrix inequalities (LMIs) in solving LFT problems. The authors first introduce the notation for LFTs and briefly discuss some of their properties. They then describe μ and its connections with LFTs. They focus on two standard notions of robust stability and performance, μ stability and performance and Q stability and performance, and their relationship is discussed. Comparisons with the L1 theory of robust performance with structured uncertainty are considered
  • Keywords
    matrix algebra; stability; transforms; μ stability; L1 theory; Q stability; linear fractional transformations; linear matrix inequalities; performance; robust stability; structured singular value; Control theory; Feedback; Linear matrix inequalities; NASA; Optimal control; Robust stability; Robustness; State-space methods; Transfer functions; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
  • Conference_Location
    Brighton
  • Print_ISBN
    0-7803-0450-0
  • Type

    conf

  • DOI
    10.1109/CDC.1991.261572
  • Filename
    261572
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3475026