[1]金明河,李鹏浩,夏进军.空间机械臂多目标综合轨迹规划研究[J].机械与电子,2018,(07):34-38,42.
　JIN Minghe,LI Penghao,XIA Jinjun.Research on Multi-Objective Comprehensive Trajectory Planning of Space Manipulator[J].Machinery & Electronics,2018,(07):34-38,42.
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空间机械臂多目标综合轨迹规划研究
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《机械与电子》[ISSN:1001-2257/CN:52-1052/TH]

卷:
期数:
2018年07期
页码:
34-38,42
栏目:
机电一体化技术
出版日期:
2018-07-25

文章信息/Info

Title:
Research on Multi-Objective Comprehensive Trajectory Planning of Space Manipulator
文章编号:
1001-2257(2018)07-0034-05
作者:
金明河; 李鹏浩; 夏进军
(哈尔滨工业大学机器人技术与系统国家重点实验室,黑龙江 哈尔滨 150080)
Author(s):
JIN Minghe;  LI Penghao;  XIA Jinjun
(State Key Laboratory of Robotics and Systems, Harbin Institute of Technology, Harbin 150080, China)
关键词:
空间机械臂;  多目标综合轨迹规划;  三次均匀B样条曲线;  NSGA-II算法;  Pareto最优解集
Keywords:
space manipulator;  multi-objective trajectory planning;  cubic uniform B-spline curve;  NSGA-II;  Pareto optimal solution set
分类号:
TP24
文献标志码:
A
摘要:
以七自由度冗余空间机械臂为研究对象,对其进行多目标综合轨迹规划研究。为了得到速度和加速度都连续的关节轨迹,首先采用三次均匀B样条曲线构造机械臂的关节空间轨迹。然后分别以机械臂运动时间最短、能量消耗最少和轨迹冲击性最小作为优化目标,以机械臂的关节位移、速度、加速度和关节力矩的限制作为约束条件,建立空间机械臂多目标轨迹规划问题的数学模型。最后使用NSGA-II算法进行数学模型求解,获得空间机械臂多目标轨迹规划问题的Pareto最优解集。仿真结果表明,在满足各项约束条件的前提下,所获得的机械臂关节空间轨迹能够达到使机械臂的多个性能指标综合最优的效果。
Abstract:
This paper studies the 7-degree of freedom redundant space manipulator and its multi-objective optimal trajectory planning.In order to obtain the continuous trajectories of velocity and acceleration, first, the cubic uniform B-spline curve was used to construct the joint-space trajectory of the manipulator. Then with the shortest movement time, the least energy consumption and the minimum trajectory impact taken as the optimization target, a mathematical model of the multi-objective trajectory planning of the space manipulator was established, in which, the constraints were joint displacement, velocity, acceleration and joint torque of the manipulator. Finally, the NSGA-II was applied to the mathematical model, and the Pareto optimal solution set was obtained. The simulation results show that on the premise of satisfying the constraints, the performance indicators of the manipulator can be optimized by the manipulator joint space trajectory.

参考文献/References:

[1] 蔡自兴.机器人学基础[M].北京:机械工业出版社,2009.
[2] 牛永康.六自由度串联机器人轨迹规划时间最优研究[D].长春:长春工业大学,2013.
[3] Quigley M, Asbeck A, Ng A. A low-cost compliant 7-DOF robotic manipulator[C]// IEEE International Conference on Robotics and Automation,2012:6051-6058.
[4] Chettibi T,Lemoine P.Generation of point to point trajectories for robotic manipulators under electro-mechanical constraints[J].International Review of Mechanical Engineering,IREME,2007,1(2):131-143.
[5] 徐海黎,解祥荣,庄健,等.工业机器人的最优时间与最优能量轨迹规划[J].机械工程学报,2010,46(9):19-25.
[6] Yang J,Wang H, Chen W, et al. Time-jerk optimal trajectory planning for robotic manipulators[C]// IEEE International Conference on Robotics and Biomimetics, 2013:2257-2262.
[7] 王会方, 朱世强, 吴文祥. 基于INSGA-Ⅱ算法的机械手多目标轨迹规划[J]. 浙江大学学报(工学版), 2012, 46(4):622-628.
[8] Das S, Suganthan P N. Differential Evolution: A survey of the state-of-the-art[J]. IEEE Transactions on Evolutionary Computation, 2011, 15(1):4-31.
[9] 王东霞,温秀兰,汪凤林.基于微分进化算法的平面度误差评定[J].组合机床与自动化加工技术, 2013(12):18-20.
[10] 施法中.计算机辅助几何设计与非均匀有理B样条(修订版)[M].北京:高等教育出版社,2013.
[11] 万传恒.六自由度工业机器人轨迹规划算法研究[D].广州:华南理工大学,2012.
[12] 施祥玲,方红根,郭为忠.基于五次NURBS的机械臂时间-能量-平滑性多目标轨迹优化[J]. 机械设计与研究, 2017(1):12-16.
[13] Deb K, Pratap A, Agarwal S, et al. A fast and elitist multiobjective genetic algorithm: NSGA-II[J]. IEEE Transactions on Evolutionary Computation, 2002, 6(2):182-197.

备注/Memo

备注/Memo:
收稿日期:2018-05-01
基金项目:国家自然科学基金委员会创新研究群体科学基金项目(51521003)
作者简介:金明河(1970-),男,辽宁盘锦人,博士,教授,研究方向为机器人技术; 李鹏浩(1994-),男,辽宁朝阳人,硕士,研究方向为机械臂轨迹规划技术; 夏进军(1980-),男,湖北赤壁人,博士,副研究员,研究方向为机器人技术。
更新日期/Last Update: 2018-07-25