TIME-OPTIMAL MOTION OF A COOPERATING MULTIPLE ROBOT SYSTEM ALONG A PRESCRIBED PATH

This paper deals with a systematic analysis of the time-optimal motion of a multiple robot system carrying an object along a prescribed path , In our approach, the time-optimal motion planning problem is formula ted in a concise form hy employing a parameter describing the movement along the path and a vector representing the internal force, Various constraints governing the motion yield the so-called admissible region in the phase plane of the parameter. The orthogonal projection techni que and the theory of multiple objective optimization make it possible to construct the admissible region, while taking into account the loa d distribution problem that is coupled with the motion, Furthermore, o ur approach provides: a way of detailed investigation for the admissib le region that is not simply connected. The resulting velocity profile of the path parameter and the internal force at every instant determi ne the optimal actuator torques for each robot. Computer simulation re sults reinforce the physical interpretation on the characteristics of the optimal actuator torques.