基于四元数方法的绳系机器人姿态控制

徐方暖; 王博; 邓子辰; 李庆军; 魏乙

doi:10.21656/1000-0887.380168

基于四元数方法的绳系机器人姿态控制

doi: 10.21656/1000-0887.380168

¹西北工业大学工程力学系, 西安 710072;²钱学森空间技术实验室, 北京 100094

基金项目: 国家自然科学基金（11432010）

详细信息

作者简介:
徐方暖（1981—），男，博士生(E-mail: xufangnuan@nwpu.edu.cn);邓子辰（1964—），男，教授，博士，博士生导师(通讯作者. E-mail: dweifan@nwpu.edu.cn).

中图分类号: V11
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出版历程
- 收稿日期: 2017-06-16
- 修回日期: 2017-10-26
- 刊出日期: 2017-12-15

Attitude Control of Targets Captured by Tethered Space Robots Based on the Quaternion Theory

¹Department of Engineering Mechanics, Northwestern Polytechnical University, Xi’an 710072, P.R.China;²QIAN Xuesen Laboratory of Space Technology, Beijing 100094, P.R.China

Funds: The National Natural Science Foundation of China（11432010）

摘要

摘要: 为进一步提升空间绳系机器人在轨服务能力，研究了空间绳系机器人抓捕目标后的复合体姿态控制问题.首先，基于四元数原理，描述了空间绳系机器人在抓捕目标后组成的复合体姿态，建立了空间绳系机器人系统的动力学方程；其次，针对带约束的动力学控制方程，结合投影技术和RungeKutta方法，构造了一种保四元数范数的显式投影方法；最后，通过数值实验，验证了所提出数值方法的有效性，同时分析了采用系绳和推力器同时控制，采用系绳、推力器相互切换控制，以及单独采用推力器进行控制这3种方式对空间绳系机器人抓捕目标后的复合体姿态的控制效果和能量消耗.
- 空间绳系机器人 /
- 四元数 /
- 投影Runge-Kutta方法 /
- 姿态控制
Abstract: For better understanding of tethered space robot systems to be used in the future onorbit service, the attitude control problem of targets captured by tethered space robots was investigated. Firstly, based on the quaternion theory, the governing equations for the combined body of the target and the tethered space robot were constructed. Secondly, a projected RungeKutta method was developed for the issue of constraint systems, and this method is explicit and can preserve the norm of quaternions. Finally, a numerical example was given to validate the proposed model and the numerical method, where 3 kinds of control strategies were compared in terms of control effectiveness and energy consumption.
- tethered space robot /
- quaternion /
- projected Runge-Kutta method /
- attitude control

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参考文献(21)

[1]	王明, 黄攀峰, 孟中杰, 等. 空间机器人抓捕目标后姿态接管控制[J]. 航空学报, 2015,36(9): 3165-3175.(WANG Ming, HUANG Pan-feng, MENG Zhong-jie, et al. Attitude takeover control after capture of target by a space robot[J]. Acta Aeronautica et Astronautica Sinica,2015,36(9): 3165-3175.(in Chinese))
[2]	陈辉, 文浩, 金栋平, 等. 用弹性绳系系统进行空间捕捉的最优控制[J]. 宇航学报, 2009,30(2): 550-555.(CHEN Hui, WEN Hao, JIN Dong-ping, et al. Optimal control of an elastic techered system for capturing a space payload[J]. Journal of Astronautics,2009,30(2): 550-555.(in Chinese))
[3]	MENG Zhong-jie, WANG Bing-heng, HUANG Pan-feng, et al. In-plane adaptive retrieval control for a noncooperative target by tethered space robots[J]. International Journal of Advanced Robotic Systems,2016. doi: 10.1177/1729881416669485.
[4]	徐秀栋, 黄攀峰, 孟中杰. 空间绳系机器人抓捕目标过程协同稳定控制[J]. 机器人, 2014,36(1): 100-110.(XU Xiu-dong, HUANG Pan-feng, MENG Zhong-jie. Coordinated stability control of tethered space robot for capturing the target[J]. Robot,2014,36(1): 100-110.(in Chinese))
[5]	徐秀栋, 黄攀峰, 孟中杰. 空间绳系机器人逼近目标协调控制方法[J]. 航空学报, 2013,34(5): 1222-1231.(XU Xiu-dong, HUANG Pan-feng, MENG Zhong-jie. Coordinated control method of space tethered robot for approaching targets[J]. Acta Aeronautica et Astronautica Sinica,2013,34(5): 1222-1231.(in Chinese))
[6]	黄文虎, 曹登庆, 韩增尧. 航天器动力学与控制的研究进展与展望[J]. 力学进展, 2012,42(4): 367-394.(HUANG Wen-hu, CAO Deng-qing, HAN Zeng-yao. Advances and trends in dynamics and control of spacecrafts[J]. Advances in Mechanics,2012,42(4): 367-394.(in Chinese))
[7]	Williams P. Optimal deployment/retrieval of tethered satellites[J]. Journal of Spacecraft and Rockets,2008,45(2): 324-343.
[8]	陈飙松, 江新, 彭海军. 基于保辛算法的绳系卫星系统闭环反馈控制问题求解[J]. 计算机辅助工程, 2014,23(2): 19-26.(CHEN Biao-song, JIANG Xin, PENG Hai-jun. Solution on closed-loop feedback control problems of tethered satellite system based on symplectic preservation algorithm[J]. Computer Aided Engineering,2014,23(2): 19-26.(in Chinese))
[9]	Steiner W, Zemann J, Steindl A, et al. Numerical study of large amplitude oscillations of a two-satellite continuous tether system with a varying length[J]. Acta Astronautica,1995,35(9/11): 607-621.
[10]	王东科, 黄攀峰, 孟中杰, 等. 空间绳系机器人抓捕后复合体姿态协调控制[J]. 航空学报, 2013,34(8): 1998-2006.(WANG Dong-ke, HUANG Pan-feng, MENG Zhong-jie, et al. Coordinated attitude control of the combination system after target capture by a tethered space robot[J]. Acta Aeronautica et Astronautica Sinica,2013,34(8): 1998-2006.(in Chinese))
[11]	徐小明, 钟万勰. 基于四元数表示的一种改进的刚体动力学保辛积分[J]. 应用数学和力学, 2014,35(11): 1177-1187.(XU Xiao-ming, ZHONG Wan-xie. An improved symplectic integration for rigid body dynamics in terms of unit quaternions[J]. Applied Mathematics and Mechanic s, 2014,35(11): 1177-1187.(in Chinese))
[12]	张瑾, 翟坤, 王天舒. 柔性太阳帆轨道-姿态-弹性振动耦合效应研究[J]. 上海航天, 2015,32(2): 1-7, 49.(ZHANG Jin, ZHAI Kun, WANG Tian-shu. Coupling effect of orbit, attitude and elastic vibration for flexible solar sail[J]. Aerospace Shanghai,2015,32(2): 1-7, 49.(in Chinese))
[13]	乔相伟. 基于四元数非线性滤波的飞行器姿态确定算法研究[D]. 博士学位论文. 哈尔滨: 哈尔滨工程大学, 2011.(QIAO Xiang-wei. Attitude determination algorithm based on quaternion nolinear filter for spacecraft[D]. PhD Thesis. Harbin: Harbin Engineering University, 2011.(in Chinese))
[14]	钟万勰, 高强, 彭海军. 经典力学——辛讲[M]. 大连: 大连理工大学出版社, 2013.(ZHONG Wan-xie, GAO Qiang, PENG Hai-jun. Classical Mechanics—Its Symplectic Description [M]. Dalian: Dalian University of Technology Press, 2013.(in Chinese))
[15]	陈滨. 分析动力学[M]. 2版. 北京: 北京大学出版社, 2012.(CHEN Bin. Analytic Dynamics [M]. 2nd ed. Beijing: Peking University Press, 2012.(in Chinese))
[16]	吴锋, 高强, 钟万勰. 基于祖冲之类方法的多体动力学方程保能量保约束积分[J]. 计算机辅助工程, 2014,23(1): 64-68.(WU Feng, GAO Qiang, ZHONG Wan-xie. Energy and constraint preservation integration for multibody equations based on ZU Chongzhi method[J]. Computer Aided Engineering,2014,23(1): 64-68.(in Chinese))
[17]	踪华, 齐建宇, 熊攀, 等. 惯性/天文/卫星组合导航误差在线标定方法[J]. 哈尔滨工业大学学报, 2017,49(4): 88-94.(ZONG Hua, QI Jian-yu, XIONG Pan, et al. On-line errors calibration method for INS/CNS/GNSS integrated navigation[J]. Journal of Harbin Institute of Technology,2017,49(4): 88-94.(in Chinese))
[18]	Markley F L, Crassidis J L. Fundamentals of Spacecraft Attitude Determination and Control [M]. New York: Springer, 2014.
[19]	Hairer E, Lubich C, Wanner G. Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations [M]. Berlin, Heidelberg: Springer, 2006.
[20]	丁国强, 熊明, 张铎, 等. SINS/GPS组合导航的机载SAR姿态算法[J]. 河南大学学报(自然科学版), 2016,46(6): 674-682.(DING Guo-qiang, XIONG Ming, ZHANG Duo, et al. Attitude estimation algorithm for airborne SAR based on the SINS/GPS integrated navigation system[J]. Journal of Henan University (Natural Science),2016,46(6): 674-682.(in Chinese))
[21]	WEI Yi, DENG Zi-chen, LI Qing-jun. Projected Runge-Kutta methods for constrained Hamiltonian systems[J]. Applied Mathematics and Mechanics (English Edition),2016,37(8): 1077-1094.

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基于四元数方法的绳系机器人姿态控制

doi: 10.21656/1000-0887.380168

作者简介:
徐方暖（1981—），男，博士生(E-mail: xufangnuan@nwpu.edu.cn);邓子辰（1964—），男，教授，博士，博士生导师(通讯作者. E-mail: dweifan@nwpu.edu.cn).

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Attitude Control of Targets Captured by Tethered Space Robots Based on the Quaternion Theory

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留言板

基于四元数方法的绳系机器人姿态控制

doi: 10.21656/1000-0887.380168

作者简介: 徐方暖（1981—），男，博士生(E-mail: xufangnuan@nwpu.edu.cn);邓子辰（1964—），男，教授，博士，博士生导师(通讯作者. E-mail: dweifan@nwpu.edu.cn).

计量

出版历程

Attitude Control of Targets Captured by Tethered Space Robots Based on the Quaternion Theory

计量

出版历程

目录

作者简介:
徐方暖（1981—），男，博士生(E-mail: xufangnuan@nwpu.edu.cn);邓子辰（1964—），男，教授，博士，博士生导师(通讯作者. E-mail: dweifan@nwpu.edu.cn).