Abstract
In this paper a singularities avoidance method suitable for the optimal local path generation of robot manipulators is presented. This method is based on establishing proper bounds for the rate of change of the Jacobian matrix of the transformation between the joints speeds and end effector Cartesian speed. These bounds are computationally inexpensive and easy to deal with by their conversion into additional constraints for an optimization problem (local or global) which may be formulated to obtain the optimal path of the considered robot manipulator. Here, this approach is used while studying the optimal path plannning of (redundant) robot manipulators under a simple local nonlinear programming formulation. This problem is considered as a minimum energy problem with given robot kinematics (and dynamics) and subject to the robot requirements and singularities avoidance constraints.
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© 1990 Springer-Verlag Berlin Heidelberg
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Mayorga, R.V., Wong, A.K.C. (1990). On the Optimal Path Planning for Robot Manipulators. In: Taylor, G.E. (eds) Kinematic and Dynamic Issues in Sensor Based Control. NATO ASI Series, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84012-8_10
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DOI: https://doi.org/10.1007/978-3-642-84012-8_10
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