• DocumentCode
    802257
  • Title

    On the determination of the optimal constant output feedback gains for linear multivariable systems

  • Author

    Levine, William S. ; Athans, Michael

  • Author_Institution
    Massachusetts Institute of Technology, Cambridge, MA, USA
  • Volume
    15
  • Issue
    1
  • fYear
    1970
  • fDate
    2/1/1970 12:00:00 AM
  • Firstpage
    44
  • Lastpage
    48
  • Abstract
    The optimal control of linear time-invariant systems with respect to a quadratic performance criterion is discussed. The problem is posed with the additional constraint that the control vector u(t) is a linear time-invariant function of the output vector y(t) (u(t) = -Fy(t)) rather than of the state vector x(t) . The performance criterion is then averaged, and algebraic necessary conditions for a minimizing F\\ast are found. In addition, an algorithm for computing F\\ast is presented.
  • Keywords
    Linear systems, time-invariant continuous-time; Optimal control; Output feedback; Control systems; Linear feedback control systems; Linear systems; MIMO; Optimal control; Output feedback; Performance gain; Riccati equations; State feedback; Vectors;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1970.1099363
  • Filename
    1099363
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=802257