• DocumentCode
    2152436
  • Title

    Control and stabilization of a rotating planar body with flexible attachments

  • Author

    Zuyev, Alexander L.

  • Author_Institution
    Inst. of Appl. Math. & Mech., Nat. Acad. of Sci., Donetsk, Ukraine
  • Volume
    4
  • fYear
    2003
  • fDate
    20-22 Aug. 2003
  • Firstpage
    1357
  • Abstract
    A control system describing rotation of rigid body with an arbitrary number of elastic beams is considered. We characterize the approximate controllability property in terms of the eigenvalues of the associated homogeneous beam equation. It is proved that boundary controllability of the whole infinite dimensional dynamics is possible if there is no response in the system. Under this assumption we construct a feedback law that strongly stabilizes the equilibrium.
  • Keywords
    controllability; eigenvalues and eigenfunctions; feedback; multidimensional systems; rotating bodies; stability; boundary controllability; eigenvalues; flexible attachments; homogeneous beam equation; infinite dimensional dynamics; rotating planar body control; rotating planar body stabilization; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Heating; Manipulator dynamics; Mathematics; Physics; Temperature control; Torque;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Physics and Control, 2003. Proceedings. 2003 International Conference
  • Print_ISBN
    0-7803-7939-X
  • Type

    conf

  • DOI
    10.1109/PHYCON.2003.1237105
  • Filename
    1237105