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I don't have a lot of direct experience handling the output of MoveIt! yet but I'd look at this:
https://answers.ros.org/question/362498/can-a-moveit-goal-include-velocity-and-even-acceleration/
and this:
https://ros-planning.github.io/moveit_tutorials/doc/time_parameterization/time_parameterization_tutorial.html
From the second link:
MoveIt can support different algorithms for post-processing a kinematic trajectory to add timestamps and velocity/acceleration values. Currently there are three available by default in MoveIt:
Iterative Parabolic Time Parameterization
Iterative Spline Parameterization
Time-optimal Trajectory Generation