• DocumentCode
    3464153
  • Title

    Instabilities in the feedback linearization of a double inverted pendulum

  • Author

    Walker, G. ; Salem, N. ; Varghese, M. ; Fuchs, A. ; Mukundan, R.

  • Author_Institution
    Clarkson Univ., Potsdam, NY, USA
  • fYear
    1993
  • fDate
    1-3 Aug. 1993
  • Firstpage
    89
  • Lastpage
    92
  • Abstract
    Numerical results in the feedback linearization of a double pendulum system are presented. Singularities in the vector field of the closed-loop system manifest themselves as numerical instabilities when the denominator of the linearizing control input is sufficiently small. In a practical example, such as balancing a two-link manipulator along an equilibrium manifold, a method to steer the system away from an ill-conditioned control law is suggested.<>
  • Keywords
    closed loop systems; feedback; linearisation techniques; stability; closed-loop system; double inverted pendulum; equilibrium manifold; feedback linearization; ill-conditioned control law; numerical instabilities; two-link manipulator; vector field singularities; Closed loop systems; Feedback; Linear approximation; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems Engineering, 1991., IEEE International Conference on
  • Conference_Location
    Dayton, OH, USA
  • Print_ISBN
    0-7803-0173-0
  • Type

    conf

  • DOI
    10.1109/ICSYSE.1991.161087
  • Filename
    161087