• DocumentCode
    2260497
  • Title

    On computation of nonlinear balanced realization and model reduction

  • Author

    Fujimoto, Kenji ; Tsubakino, Daisuke

  • Author_Institution
    Dept. of Mech. Sci. & Eng., Nagoya Univ.
  • fYear
    2006
  • fDate
    14-16 June 2006
  • Abstract
    In this paper a computational algorithm for nonlinear balanced realization and model reduction based on Taylor series expansion is proposed. This algorithm requires recursive computations with respect to the order of the Taylor series in which we need to solve linear equations with unknown parameters in each step. Furthermore, the proposed method is applied to a double pendulum system. Some numerical simulations demonstrate the effectiveness of the proposed algorithm
  • Keywords
    nonlinear control systems; pendulums; reduced order systems; series (mathematics); Taylor series expansion; computational algorithm; double pendulum system; linear equations; model reduction; nonlinear balanced realization; recursive computations; Closed-form solution; Controllability; Differential equations; Nonlinear equations; Nonlinear systems; Numerical simulation; Observability; Partial differential equations; Reduced order systems; Taylor series;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2006
  • Conference_Location
    Minneapolis, MN
  • Print_ISBN
    1-4244-0209-3
  • Electronic_ISBN
    1-4244-0209-3
  • Type

    conf

  • DOI
    10.1109/ACC.2006.1655399
  • Filename
    1655399