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引用次数: 1

摘要

本文研究了移动机械臂在存在障碍物情况下的最优路径求解问题。将机器人运动系统的运动规划表述为最优控制问题。应用庞特里亚金最小值原理,导出了最优运动规划问题的间接最优条件,并采用Leapfrog方法进行了数值求解。最后给出了移动机械手的仿真结果,验证了该方法的有效性。
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Optimal Paths for a Mobile Manipulator using the Leapfrog Method
This paper deals with finding optimal paths for a mobile manipulator in the presence of obstacles. The motion planning of the robot kinematic system is formulated as an optimal control problem. Applying Pontryagin’s minimum principle, indirect conditions of optimality are derived for the optimal motion planning problem and solved numerically using the Leapfrog method. Simulation results for the mobile manipulator are presented to demonstrate the effectiveness of the proposed method.
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