Efficient inverse kinematics for general 6R manipulators

نویسندگان

  • Dinesh Manocha
  • John F. Canny
چکیده

| The inverse kinematics of serial manipulators is a central problem in the automatic control of robot manipula-tors. The main interest has been in inverse kinematics of a six revolute (6R) jointed manipulator with arbitrary geometry. It has been recently shown that the joints of a general 6R manipulator can orient themselves in 16 diierent con-gurations (at most), for a given pose of the end{eeector. However, there are no good practical solutions available, which give a level of performance expected of industrial ma-nipulators. In this paper, we present an algorithm and implementation for eecient inverse kinematics for a general 6R manipulator. When stated mathematically, the problem reduces to solving a system of multivariate equations. We make use of the algebraic properties of the system and the symbolic formulation used for reducing the problem to solving a univariate polynomial. However, the polynomial is expressed as a matrix determinant and its roots are computed by reducing to an eigenvalue problem. The other roots of the multivariate system are obtained by computing eigenvectors and substitution. The algorithm involves symbolic preprocessing, matrix computations and a variety of other numerical techniques. The average running time of the algorithm, for most cases, is 11 milliseconds on an IBM RS/6000 workstation. This approach is applicable to inverse kinematics of all serial manipulators.

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عنوان ژورنال:
  • IEEE Trans. Robotics and Automation

دوره 10  شماره 

صفحات  -

تاریخ انتشار 1994