Nonlinear Phenomena on a Two-Link Planer Manipulator with a Free Joint

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  • 自由関節を有する平面マニピュレータにおける非線形現象
  • ジユウ カンセツ オ ユウスル ヘイメン マニピュレータ ニ オケル ヒセンケイ ゲンショウ

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The dynamics of a manipulator with free joints is described by nonlinear ordinary differential equations with nonintegrable differential constraints. Such a dynamical system cannot be converted to a linear system using an exact linearization method such as the computed torque method. Control methods using nonlinear properties of such a system are studied in many fields of robotics. In this paper, we consider behavior of the free link on a two-link planer manipulator under commanding repetitive tasks to the actuated link. As previous reported, we numerically observed some periodic motions and chaotic states as a steady state on the manipulator. Computing bifurcation diagrams and basins of attraction for typical periodic motions, we investigate a relation between the viscous friction of the free joint and bifurcation phenomena on the manipulator. We also observe some periodic motions on an experimental manipulator system.

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