Solving current formulations of the time-optimal point-to-point motion
problem for robotic manipulators is a computationally intensive task.
Thus, mast existing solutions are not suitable for on-line motion pla
nning applications, such as the interception of moving targets, where
time-optimality of the motion is advantageous. A novel technique is pr
oposed in this article that separates the time-optimal point-to-point
motion problem into the following two sub-problems: (1) selection of a
near-time-optimal path between the two endpoints, and (2) generation
of time-optimal motion along the selected path (i.e., constrained cont
inuous path motion). Although our approach uses known path-constrained
time-optimal-motion algorithms for the second sub-problem, a new meth
od is proposed for the selection of near-time-optimal paths. Based on
a study of the characteristics of global-time-optimal paths, the near-
optimal path is selected as a minimum-curvature joint spline, tangent
to one of the manipulator's acceleration directions at the start point
, and tangent to the required manipulator velocity direction at the en
d point. The algorithm for determining the overall near-optimal path i
s described herein, along with an example. Simulation test results and
computation-time studies indicate that the proposed method is suitabl
e for on-line motion planning applications. (C) 1995 John Wiley & Sons
, Inc.