• DocumentCode
    843721
  • Title

    Optimal control of systems possessing symmetries

  • Author

    Grizzle, J.W. ; Marcus, S. I I

  • Author_Institution
    Univ. of Illinois, Urbana, Il
  • Volume
    29
  • Issue
    11
  • fYear
    1984
  • fDate
    11/1/1984 12:00:00 AM
  • Firstpage
    1037
  • Lastpage
    1040
  • Abstract
    It is shown that a symmetry in an optimization problem induces a decomposition of the optimal feedback control law into factors. One factor can be calculated algebraically and depends only on the symmetry; the other factor corresponds to a lower dimensional optimization problem. This gives a priori information about the structure of the optimal feedback control law and indicates a possibly more efficient method for optimizing such systems.
  • Keywords
    Optimal control, nonlinear systems; Adaptive control; Aerodynamics; Automatic control; Control systems; Feathers; Linear systems; Optimal control; Read only memory; Stochastic processes; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103421
  • Filename
    1103421
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=843721