• DocumentCode
    3256095
  • Title

    A Lie algebraic approach to the control of nonlinear discrete-time dynamic systems

  • Author

    Magaña, Mario E. ; Zak, Stanislaw H.

  • Author_Institution
    Dept. of Electr. Eng., Alabama Univ., Tuscaloosa, AL, USA
  • fYear
    1989
  • fDate
    0-0 1989
  • Firstpage
    581
  • Lastpage
    584
  • Abstract
    It is shown that under certain conditions a nonlinear mapping can be obtained that transforms a given class of nonlinear discrete-time dynamic systems into the so-called nonlinear controller form by means of Lie algebraic methods. The usefulness of the approach is demonstrated with an example. The work is presented with minimal exotic mathematical notation to ease its readability.<>
  • Keywords
    Lie groups; discrete time systems; group theory; nonlinear control systems; Lie algebraic methods; control; nonlinear controller form; nonlinear discrete-time dynamic systems; nonlinear mapping; Discrete time systems; Group theory; Lie groups; Nonlinear systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems Engineering, 1989., IEEE International Conference on
  • Conference_Location
    Fairborn, OH, USA
  • Type

    conf

  • DOI
    10.1109/ICSYSE.1989.48741
  • Filename
    48741