• DocumentCode
    1519499
  • Title

    Fundamental limits in robustness and performance for unstable, underactuated systems

  • Author

    Thibeault, Nancy Morse ; Smith, Roy

  • Author_Institution
    Dept. of Mech. Eng., California Univ., Santa Barbara, CA, USA
  • Volume
    46
  • Issue
    8
  • fYear
    2001
  • fDate
    8/1/2001 12:00:00 AM
  • Firstpage
    1265
  • Lastpage
    1268
  • Abstract
    We derive bounds on the ℋ∞ norm of a weighted output sensitivity function and a weighted output complementary sensitivity function for an underactuated, multiple-input-multiple-output (MIMO), linear, time-invariant (LTI), unstable plant in feedback with an internally stabilizing, LTI controller. These bounds indicate a limit to the achievable robustness and performance for such systems and thus, are valuable tools for performing system design tradeoffs
  • Keywords
    H∞ control; MIMO systems; linear systems; multivariable control systems; robust control; sensitivity; ℋ∞ norm; feedback; internally stabilizing LTI controller; performance limits; robustness limits; system design tradeoffs; underactuated MIMO LTI unstable plant; unstable underactuated systems; weighted output complementary sensitivity function; Artificial biological organs; Control systems; Explosions; History; Linear feedback control systems; MIMO; Magnetic moments; Output feedback; Robust control; Robustness;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.940931
  • Filename
    940931