• DocumentCode
    2111370
  • Title

    A Lyapunov function for the Energy-Casimir method

  • Author

    Wan, C.J. ; Coppola, V.T. ; Bernstein, D.S.

  • Author_Institution
    Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
  • fYear
    1993
  • fDate
    15-17 Dec 1993
  • Firstpage
    3122
  • Abstract
    Provides a tutorial exposition for the Energy-Casimir method and constructs a Lyapunov function to prove stability for systems having at least two integrals of motion. Stabilization of the intermediate axis rotation of an asymmetric rigid spacecraft by applying input torque along the minor or major axis is reconsidered. For the axially symmetric spacecraft, the authors construct a linear torque applied at the symmetry axis which Lyapunov stabilizes rotation about a transverse principal axis
  • Keywords
    Lyapunov methods; space vehicles; stability; Energy-Casimir method; Lyapunov function; axially symmetric spacecraft; integrals of motion; intermediate axis rotation; linear torque; stability; transverse principal axis; Differential equations; Integral equations; Lyapunov method; Spinning; Stability analysis; Torque;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
  • Conference_Location
    San Antonio, TX
  • Print_ISBN
    0-7803-1298-8
  • Type

    conf

  • DOI
    10.1109/CDC.1993.325777
  • Filename
    325777