• DocumentCode
    486152
  • Title

    Estimation of Regions of Attraction and Ultimate Boundedness for Multiloop LQ Regulators

  • Author

    Joshi, S.M.

  • Author_Institution
    NASA-Langley Research Center, Hampton, Virginia 23665
  • fYear
    1984
  • fDate
    6-8 June 1984
  • Firstpage
    985
  • Lastpage
    989
  • Abstract
    The closed-loop stability of linear, time-invariant systems controlled by linear quadratic (LQ) regulators is investigated when there are nonlinearities N(¿) in the control channels which violate the condition: ¿ N(¿) ¿ 0.5¿2 (i.e., the condition that gains ¿ ¿), either for values of ¿ away from ¿=0, or in a neighborhood of ¿=0. Expressions are obtained for the regions of attraction and ultimate boundedness for these cases, which provide methods for selecting the performance function weights to obtain more robust LQ designs.
  • Keywords
    Control nonlinearities; Control systems; Nonlinear control systems; Regulators; Riccati equations; Robust control; Robustness; Stability; Symmetric matrices; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 1984
  • Conference_Location
    San Diego, CA, USA
  • Type

    conf

  • Filename
    4788515