Kinematics Modeling and Solution of Hybrid Active-Passive Cable-driven Space Manipulator Considering the Effects of Hysteresis and Deformation
YANG Taiwei1, ZHENG Xudong2, XU Wenfu1, LIU Tianliang1, HUANG Yifan1, LIANG Bin3
1. School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen 518055, China; 2. Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China; 3. Department of Automation, Tsinghua University, Beijing 100084, China
Abstract：For dexterous tasks of cable-driven space manipulators in an unstructured environment, stretch of the driving cable and segment deformation hamper the precise control of these manipulators. To solve this problem, an improved kinematics model is proposed. Firstly, a kinematics model is set up on multiple mapping among the length of driving cable, the joint angle, and the end pose of the manipulator. Further, the coupling effects of three factors are considered, including the cable hysteresis, the movement direction switching and the segment deformation, and consequently the model of mapping between the length of driving cable and the joint angle is improved. Secondly, a test platform is designed, and the cable hysteresis is measured under different loads. Finally, the test data of the cable-driven space manipulator prototype are compared with the simulation results of the improved kinematics model. Comparison results with the ideal geometric model show that, the absolute position error can be reduced by 15.2 mm at the end of the two-segment cable-driven space manipulator with a length of 1110 mm, while the absolute position error of the end can be reduced by 61.4%, which proves the effectiveness of the improved kinematics model.
[1] Moghaddam B M, Chhabra R. On the guidance, navigation and control of in-orbit space robotic missions:A survey and prospective vision[J]. Acta Astronautica, 2021, 184:70-100. [2] Flores-Abad A, Ma O, Pham K, et al. A review of space robotics technologies for on-orbit servicing[J]. Progress in Aerospace Sciences, 2014, 68:1-26. [3] 刘宏, 刘冬雨, 蒋再男. 空间机械臂技术综述及展望[J]. 航空学报, 2021, 42(1):26-39. Liu H, Liu D Y, Jiang Z N. Space manipulator technology:Review and prospect[J]. Acta Aeronautica et Astronautica Sinica, 2021, 42(1):26-39. [4] Tonapi M M, Godage I S, Walker I D. Next generation ropelike robot for in-space inspection[C]//IEEE Aerospace Conference. Piscataway, USA:IEEE, 2014. DOI:10.1109/AERO.2014.6836183. [5] Burgner-Kahrs J, Rucker D C, Choset H. Continuum robots for medical applications:A survey[J]. IEEE Transactions on Robotics, 2015, 31(6):1261-1280. [6] Hannan M W, Walker I D. Kinematics and the implementation of an elephant's trunk manipulator and other continuum style robots[J]. Journal of Field Robotics, 2003, 20(2):45-63. [7] Camarillo D B, Milne C F, Carlson C R, et al. Mechanics modeling of tendon-driven continuum manipulators[J]. IEEE Transactions on Robotics, 2008, 24(6):1262-1273. [8] Kayani A, Redman M, Summers M, et al. Snake-arm robots:A new approach to aircraft assembly[A/OL]. (2007-09-17)[2021-04-31]. https://doi.org/10.4271/2007-01-3870. [9] Xu W F, Liu T L, Li Y M. Kinematics, dynamics, and control of a cable-driven hyper-redundant manipulator[J]. IEEE/ASME Transactions on Mechatronics, 2018, 23(4):1693-1704. [10] Tang L, Wang J G, Zheng Y, et al. Design of a cable-driven hyper-redundant robot with experimental validation[J]. International Journal of Advanced Robotic Systems, 2017, 14(5). DOI:10.1177/1729881417734458. [11] Liu T L, Xu W F, Yang T W, et al. A hybrid active and passive cable-driven segmented redundant manipulator:Design, kinematics, and planning[J]. IEEE/ASME Transactions on Mechatronics, 2021, 26(2):930-942. [12] 秦岩丁, 徐圆凯, 韩建达. 气动人工肌肉驱动的肘关节辅助机器人迟滞补偿[J]. 机器人, 2021, 43(4):453-462. Qin Y D, Xu Y K, Han J D. Hysteresis compensation of pneumatic artificial muscle actuated assistive robot for the elbow joint[J]. Robot, 2021, 43(4):453-462. [13] Miyasaka M, Haghighipanah M, Li Y M, et al. Modeling cable-driven robot with hysteresis and cable-pulley network friction[J]. IEEE/ASME Transactions on Mechatronics, 2020, 25(2):1095-1104. [14] Baek D, Seo J H, Kim J, et al. Hysteresis compensator with learning-based hybrid joint angle estimation for flexible surgery robots[J]. IEEE Robotics and Automation Letters, 2020, 5(4):6837-6844. [15] Porto R A, Nageotte F, Zanne P, et al. Position control of medical cable-driven flexible instruments by combining machine learning and kinematic analysis[C]//IEEE International Conference on Robotics and Automation. Piscataway, USA:IEEE, 2019:7913-7919. [16] Xu K, Simaan N. Actuation compensation for flexible surgical snake-like robots with redundant remote actuation[C]//IEEE International Conference on Robotics and Automation. Piscataway, USA:IEEE, 2006:4148-4154. [17] Simaan N, Xu K, Wei W, et al. Design and integration of a telerobotic system for minimally invasive surgery of the throat[J]. International Journal of Robotics Research, 2009, 28(9):1134-1153. [18] Yuan H, Zhang W J, Dai Y C, et al. Analytical and numerical methods for the stiffness modeling of cable-driven serpentine manipulators[J]. Mechanism and Machine Theory, 2021, 156. DOI:10.1016/j.mechmachtheory.2020.104179.
