Chaos in a pendulum with feedback control

DOI PDF Web Site Web Site 被引用文献4件

書誌事項

公開日
1994-09
権利情報
  • http://www.springer.com/tdm
DOI
  • 10.1007/bf00044981
公開者
Springer Science and Business Media LLC

この論文をさがす

説明

We study chaotic dynamics of a pendulum subjected to linear feedback control with periodic desired motions. The pendulum is assumed to be driven by a servo-motor with small inductance, so that the feedback control system reduces to a periodic perturbation of a planar Hamiltonian system. This Hamiltonian system can possess multiple saddle points with non-transverse homoclinic and/or heteroclinic orbits. Using Melnikov's method, we obtain criteria for the existence of chaos in the pendulum motion. The computation of the Melnikov functions is performed by a numerical method. Several numerical examples are given and the theoretical predictions are compared with numerical simulation results for the behavior of invariant manifolds.

収録刊行物

  • Nonlinear Dynamics

    Nonlinear Dynamics 6 (2), 125-142, 1994-09

    Springer Science and Business Media LLC

被引用文献 (4)*注記

もっと見る

詳細情報 詳細情報について

問題の指摘

ページトップへ