• DocumentCode
    2411833
  • Title

    H∞ control of LFT systems: an LMI approach

  • Author

    Lu, Wei-Min ; Doyle, John C.

  • Author_Institution
    Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
  • fYear
    1992
  • fDate
    1992
  • Firstpage
    1997
  • Abstract
    The standard H∞ control problem for linear state-space systems is extended to general LFT systems, which involve a LFT (linear fractional transformation) on a structured free parameter Δ and can be interpreted as structuredly perturbed uncertain systems. Two generalizations of H∞ performance are considered, referred too as μ-performance and Q -performance with the latter implying the former. Necessary and sufficient conditions for a system to have Q-performance and for the existence of a controller yielding Q-performance can be expressed in terms of structured linear matrix inequalities (LMIs)
  • Keywords
    matrix algebra; optimal control; state-space methods; transforms; H∞ control; LFT systems; LMI approach; Q-performance; linear fractional transformation; linear state-space systems; mu -performance; necessary and sufficient conditions; structurally perturbed uncertain systems; structured free parameter; structured linear matrix inequalities; structuredly perturbed uncertain systems; Artificial intelligence; Control systems; Frequency; H infinity control; Linear matrix inequalities; Robust stability; Sufficient conditions; Testing; Transfer functions; Uncertain systems; Uncertainty; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
  • Conference_Location
    Tucson, AZ
  • Print_ISBN
    0-7803-0872-7
  • Type

    conf

  • DOI
    10.1109/CDC.1992.371449
  • Filename
    371449
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2411833