• DocumentCode
    852338
  • Title

    Stability of multiloop LQ regulators with nonlinearities--Part I: Regions of attraction

  • Author

    Joshi, S.M.

  • Author_Institution
    NASA Langley Research Center, Hampton, VA, USA
  • Volume
    31
  • Issue
    4
  • fYear
    1986
  • fDate
    4/1/1986 12:00:00 AM
  • Firstpage
    364
  • Lastpage
    367
  • Abstract
    The closed-loop stability of linear, time-invariant systems controlled by linear quadratic (LQ) regulators is investigated when there are nonlinearities in the control channels which lie outside the ( 0.5, \\infty ) stability sector in regions away from the origin (i.e., saturation-type nonlinearities). An estimate of the region of attraction is obtained which provides methods for selecting the performance function weights for more robust LQ designs.
  • Keywords
    Linear-quadratic control; Nonlinearities; Stability, linear systems; Aerodynamics; Automatic control; Control nonlinearities; Control systems; Entropy; Nonlinear control systems; Regulators; Robustness; Stability; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104272
  • Filename
    1104272