• DocumentCode
    797948
  • Title

    Optimal control of the linear regulator with constant disturbances

  • Author

    Johnson, C.D.

  • Author_Institution
    University of Alabama, Huntsville, AL, USA
  • Volume
    13
  • Issue
    4
  • fYear
    1968
  • fDate
    8/1/1968 12:00:00 AM
  • Firstpage
    416
  • Lastpage
    421
  • Abstract
    An optimal control problem for a linear regulator with constant external disturbance is formulated. It is shown that, for a suitably selected quadratic-type performance index, the optimal control is not an explicit function of the external disturbance. Moreover, the optimal control can be synthesized as a time-invariant linear function of the state plus the first time integral of a certain other time-invariant linear function of the state.
  • Keywords
    Linear systems, time-invariant continuous-time; Optimal control; Asymptotic stability; Automatic control; Linear feedback control systems; Linear systems; Negative feedback; Optimal control; Regulators; Stability criteria; Sufficient conditions; Time varying systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1968.1098947
  • Filename
    1098947
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=797948