Abstract
ABSTRACTIn this article, an algorithm is presented that transforms a given trajectory of a general 6-R Robot in Cartesian task space (position and orientation) into all possible joint space trajectories. It is shown how all solutions of the inverse kinematics can be used to obtain continuous joint trajectories. Inverse kinematics yields up to 16 different solution paths in joint space and these joint paths are compared using different optimality criteria. To achieve this goal the Cartesian trajectory is discretized and at each instant the inverse kinematics is computed using a fast algorithm developed in Pfurner and Husty et al. In the set of joint angles corresponding to the inverse kinematics solutions coherent paths are determined and interpolated with quintic splines. Different boundary conditions for the construction of the splines are discussed. Using the splines some possibilities for the optimal choice among the paths using different criteria are presented.
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