An analysis of the kinematics and dynamics of underactuated manipulators

نویسندگان

  • Abhinandan Jain
  • Guillermo Rodriguez
چکیده

In this paper we study the dynamics and kinematics of manipulators that have fewer actuators than degrees of freedom. These under{actuated manipulators arise in a number of important applications such as free{ ying space robots, hyper{redundant manipulators, manipulators with structural exibility, etc. In our analysis we decompose such under{actuated manipulators into component active and passive arms. This decomposition allows techniques previously developed for regular (fully{actuated) manipulators to be applied to under{actuated systems. Spatial operator identities are used to develop closed{form expressions for the generalized accelerations for the system. These expressions form the basis for a recursive O(N ) dynamics algorithm. The structure of this algorithm is a hybrid of known forward and inverse dynamics algorithms for regular manipulators. We also develop expressions and computational algorithms for the generalized and disturbance Jacobians for under{actuated manipulators. The application of the results in this paper to space manipulators is also described.

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عنوان ژورنال:
  • IEEE Trans. Robotics and Automation

دوره 9  شماره 

صفحات  -

تاریخ انتشار 1993