• DocumentCode
    851845
  • Title

    Guaranteed stability margins for the discrete-time linear quadratic optimal regulator

  • Author

    Shaked, U.

  • Author_Institution
    Tel-Aviv University, Tel-Aviv, Israel
  • Volume
    31
  • Issue
    2
  • fYear
    1986
  • fDate
    2/1/1986 12:00:00 AM
  • Firstpage
    162
  • Lastpage
    165
  • Abstract
    The stability properties of the linear quadratic deterministic optimal regulator are investigated in the discrete-time case. Guaranteed phase- and gain- margins are obtained for the regulator in terms of the singular values of the matrices of the regulator state-space description. These margins are compared to their continuous-time counterparts and their implication on the regulator robustness is discussed.
  • Keywords
    Linear-quadratic control; Robustness, linear systems; Stability, linear systems; Feedback; H infinity control; Optimal control; Performance gain; Regulators; Riccati equations; Robust control; Robust stability; Robustness; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104222
  • Filename
    1104222