• DocumentCode
    435103
  • Title

    Explicit formulas for general integrals of motion for a class of mechanical systems subject to virtual constraints

  • Author

    Shiriaev, A. ; Perram, J. ; Robertsson, A. ; Sandberg, A.

  • Author_Institution
    Dept. of Appl. Phys. & Electron., Umea Univ., Sweden
  • Volume
    2
  • fYear
    2004
  • fDate
    14-17 Dec. 2004
  • Firstpage
    1158
  • Abstract
    The paper suggests an explicit form of a general integral of motion for some classes of dynamical systems including n-degree-of-freedom mechanical systems subject to (n - 1) virtual holonomic constraints. The computation of this integral opens several possibilities for generating and further exponential orbital stabilization of solutions in nonlinear feedback systems. An illustrative example is given.
  • Keywords
    feedback; kinematics; motion control; nonlinear dynamical systems; stability; Bernoulli equation; dynamical systems; exponential orbital stabilization; general motion integrals; motion planning; n-degree-of-freedom mechanical systems; nonlinear feedback systems; virtual holonomic constraints; Automatic control; Control systems; Feedback; Force control; Frequency; Integral equations; Mechanical systems; Nonlinear dynamical systems; Physics; Production systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2004. CDC. 43rd IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-8682-5
  • Type

    conf

  • DOI
    10.1109/CDC.2004.1430198
  • Filename
    1430198