• DocumentCode
    808738
  • Title

    Optimality of linear control systems

  • Author

    Kreindler, Eliezer ; Jameson, Antony

  • Author_Institution
    Grumman Aerospace Corporation, Bethpage, NY, USA
  • Volume
    17
  • Issue
    3
  • fYear
    1972
  • fDate
    6/1/1972 12:00:00 AM
  • Firstpage
    349
  • Lastpage
    351
  • Abstract
    It is shown that every linear system with nondynamic feedback is optimal with respect to a quadratic performance index that includes a cross-product term between the state and control. If the index is further generalized to include derivatives of the control, every (sufficiently smooth) linear finite-dimensional dynamic feedback and feedforward control system is optimal. Methods of constructing all such indices are indicated, and some practical implications are discussed.
  • Keywords
    Inverse optimal control problem; Linear systems, time-varying continuous-time; Control systems; Eigenvalues and eigenfunctions; Equations; Matrices; Optimal control; Optimization methods;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1099985
  • Filename
    1099985