• DocumentCode
    835362
  • Title

    Rosenbrock´s theorem and the minimum time state regulator problem

  • Author

    Khadr, Amr S.

  • Author_Institution
    Case Western Reserve University, Cleveland, OH, USA
  • Volume
    26
  • Issue
    2
  • fYear
    1981
  • fDate
    4/1/1981 12:00:00 AM
  • Firstpage
    537
  • Lastpage
    538
  • Abstract
    Rosenbrock´s theorem is used to give a clear and efficient solution to the (discrete-time) minimum time state regulator problem. It is shown that the optimal feedback gain can be naturally computed using already existing algorithms. A further result related to Rosenbrock´s theorem is also given.
  • Keywords
    Regulators, linear systems; Time-optimal control, linear systems; Eigenvalues and eigenfunctions; Lattices; Partitioning algorithms; Polynomials; Regulators; State feedback; Systems engineering and theory;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102622
  • Filename
    1102622