• DocumentCode
    851590
  • Title

    Stability regions for multiloop LQ-regulated systems with state estimators

  • Author

    Josh, S.M.

  • Author_Institution
    NASA Langley Research Center, Hampton, VA, USA
  • Volume
    31
  • Issue
    12
  • fYear
    1986
  • fDate
    12/1/1986 12:00:00 AM
  • Firstpage
    1151
  • Lastpage
    1153
  • Abstract
    This note investigates the closed-loop stability of linear, time-invariant systems controlled by linear-quadratic-Gaussian (LQG) type controllers, when the actuators have nonlinearities. The nonlinearities N(\\sigma ) are assumed to violate the standard LQ robustness condition \\sigma N(\\sigma ) \\geq 0.5\\sigma ^{2} , either for values of σ away from \\sigma = 0 , or in a neighborhood of \\sigma = 0 . The cases with an exponentially stable state estimator, and an estimator with ultimately bounded estimation error are considered, and expressions are obtained for the regions of attraction and ultimate boundedness.
  • Keywords
    Linear quadratic Gaussian (LQG) control; Nonlinearities; Stability, linear systems; State estimation, linear systems; Control nonlinearities; Control systems; Estimation error; Hydraulic actuators; Nonlinear control systems; Regulators; Robustness; Stability; State estimation; State feedback;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104198
  • Filename
    1104198
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=851590