Stiffness Analysis and Error Compensation of Lunar Sampling Manipulator

Abstract

In the lunar surface sampling mission, the lunar sampling manipulator, due to the flexibility of its boom and joints, has low stiffness, which leads to the reduction of manipulator control accuracy. To address the above problem, in this paper, an end-operation error compensation method was proposed based on the estimation of flexible deformation of the manipulator, and an overall stiffness model of the multi-degree-of-freedom manipulator was constructed by analyzing joint flexibility, arm rod flexibility and self-weight and other factors on joint flexibility of the end position of the manipulator. The error bounds for the end position estimation of the manipulator under different configuration conditions were given. On this basis, a one-time compensation control method for the end operation of the manipulator was designed, which can reduce the maximum control deviation of the end of the robotic arm from 35 mmto less than 1 mm, greatly improving the absolute positioning accuracy of the lunar sampling manipulator simulation system.

Keywords

lunar sampling manipulator / stiffness analysis of EOF / error compensation / finite element analysis

References

[1] 叶培建,于登云,孙泽洲,等. 中国月球探测器的成就与展望[J]. 深空探测学报(中英文),2016,3(4):323-333
YE P J,YU D Y,SUN Z Z,et al. Achievements and prospects of Chinese lunar probes[J]. Journal of Deep Space Exploration,2016,3(4):323-333
[2] 张宽，于天一，胡晓东，等. 月面表层无人采样控制技术[J]. 深空探测学报（中英文），2022，9（2）：173-182.
ZHANG K，YU T Y，HU X D，et al. Control technology for unmanned sampling of lunar surface [J]. Journal of Deep Space Exploration ，2022，9（2）：173-182.
[3] 韩亮亮,陈萌,张崇峰,等. 月面服务机器人研究进展及发展设想[J]. 载人航天,2018,24(3):313-320
HAN L L,CHEN M,ZHANG C F,et al. Research progress and development conception of lunar service robot[J]. Manned Spaceflight,2018,24(3):313-320
[4] 马如奇,姜水清,刘宾,等. 月球采样机械臂系统设计及试验验证[J]. 宇航学报,2018,39(12):1315-1322
MA R Q,JIANG S Q,LIU B,et al. Design and verification of a lunar sampling manipulator system[J]. Journal of Astronautics,2018,39(12):1315-1322
[5] 杨成,李贵良,冯晓萌,等. 月面采样机械臂遥操作仿真验证技术[J]. 中国科学:技术科学,2021,51(12):1480-1491
YANG C,LI G L,FENG X M,et al. Simulation and verification technology for lunar sampling manipulator control[J]. China Science:Technical Science,2021,51(12):1480-1491
[6] 胡晓东,张宽,谢圆,等. “嫦娥五号”月面采样机械臂路径规划[J]. 深空探测学报(中英文),2021,8(6):564-571
HU X D,ZHANG K,XIE Y,et al. Path planning of lunar surface sampling manipulator for Chang’E-5 mission[J]. Journal of Deep Space Exploration,2021,8(6):564-571
[7] 吴锦辉,陶友瑞. 工业机器人定位精度可靠性研究现状综述[J]. 中国机械工程,2020,31(18):2180-2188
WU J H,TAO Y R. Review on research status of positioning accuracy reliability of industrial robots[J]. China Mechanical Engineering,2020,31(18):2180-2188
[8] BRUNETE A,GAMBAO E,KOSKINEN J,et al. Hard material small-batch industrial machining robot[J]. Robotics and Computer-Integrated Manufacturing,2018,54:185-199
[9] LIAN B,SUN T,SONG Y,et al. Stiffness analysis and experiment of a novel 5-DoF parallel kinematic machine considering gravitational effects[J]. International Journal of Machine Tools and Manufacture,2015,95:82-96
[10] ALICI G,SHIRINZADEH B. Enhanced stiffness modeling,identification and characterization for robot manipulators[J]. IEEE Transactions on Robotics,2005,21(4):554-564
[11] SPONG M W. Modeling and control of elastic joint robots[J]. Journal of Dynamic Systems,Measurement,and Control,1987,109(4):310-318
[12] SALISBURY J K. Active stiffness control of a manipulator in cartesian coordinates[C]//Proceedings of the 19th IEEE conference on decision and control including the symposium on adaptive processes. [S. l. ]：IEEE，1980：95-100.
[13] CHEN S F,KAO I. Conservative congruence transformation for joint and cartesian stiffness matrices of robotic hands and fingers[J]. International Journal of Robotics Research,2000,19(9):835-847
[14] KLIMCHIK A,FURET B,CARO S,et al. Identification of the manipulator stiffness model parameters in industrial environment[J]. Mechanism and Machine Theory,2015,90:1-22
[15] WANG X,ZHANG D,ZHAO C,et al. Optimal design of lightweight serial robots by integrating topology optimization and parametric system optimization[J]. Mechanism and Machine Theory,2019,132:48-65
[16] XU P,YAO X,LIU S,et al. Stiffness modeling of an industrial robot with a gravity compensator considering link weights[J]. Mechanism and Machine Theory,2021,161:104331
[17] 唐玲,梁常春,王耀兵,等. 基于柔性补偿的行星表面采样机械臂控制策略研究[J]. 机械工程学报,2017,53(11):97-103
TANG L,LIANG C C,WANG Y B,et al. Research on flexible compensation control strategy for planetary surface sampling manipulator[J]. Journal of Mechanical Engineering,2017,53(11):97-103
[18] 刘志,赵正大,谢颖,等. 考虑结构变形的机器人运动学标定及补偿[J]. 机器人,2015,37(3):376-384
LIU Z,ZHAO Z D,XIE Y,et al. Kinematic calibration and compensation for a robot with structural deformation[J]. Robotics,2015,37(3):376-384
[19] 陈钢,孙丰磊,李彤,等. 考虑弹性变形的月面表取机械臂精度补偿方法[J]. 南京航空航天大学学报,2021,53(1):1-10
CHEN G,SUN F L,LI T. Accuracy compensation for a lunar sampling manipulator with elastic deformation[J]. Journal of Nanjing University of Aeronautics and Astronautics,2021,53(1):1-10
[20] 熊有伦，李文龙，等. 机器人学：建模、控制与视觉[M]. 武汉：华中科技大学出版社，2018：135-162.
[21] 林义忠,廖小平,曾剑. 6R 喷涂机器人操作臂末端刚度的分析[J]. 广西大学学报:自然科学版,2011,36(2):234-240
LIN Y Z,LIAO X P,ZENG J. Analysis of arm end stiffness for a 6R-spraying robot[J]. Journal of Guangxi University:Natural Science Edition,2011,36(2):234-240
[22] DUMAS C,CARO S,GARNIER S,et al. Joint stiffness identification of six-revolute industrial serial robots[J]. Robotics and Computer-Integrated Manufacturing,2011,27(4):881-888
[23] 高鹏宇. 打捞机器人误差补偿方法研究[D]. 哈尔滨：哈尔滨工业学，2020.
GAO P Y. Research on error compensation method of the salvage robot [D]. Harbin：Harbin Institute of Technology，2020.
[24] 张永贵,刘文洲,高金刚. 切削加工机器人刚度模型研究[J]. 农业机械学报,2014(8):321-327
ZHANG Y G,LIU W Z,GAO J G. Stiffness model of a machining robot[J]. Journal of Agricultural Machinery,2014(8):321-327