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Ge Xinsheng, Chen Kaijie. PATH PLANNING OF FREE FLOATING SPACE ROBOT USING LEGENDRE PSEUDOSPECTRAL METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(4): 823-831. DOI: 10.6052/0459-1879-16-158
Citation: Ge Xinsheng, Chen Kaijie. PATH PLANNING OF FREE FLOATING SPACE ROBOT USING LEGENDRE PSEUDOSPECTRAL METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(4): 823-831. DOI: 10.6052/0459-1879-16-158
shu

PATH PLANNING OF FREE FLOATING SPACE ROBOT USING LEGENDRE PSEUDOSPECTRAL METHOD

  • 1.

    School of Applied Science, Beijing Information Science & Technology University, Beijing 100192, China

  • 2. School of Mechanical & Electrical Engineering, Beijing Information Science & Technology University, Beijing 100192, China

  • Received Date: June 05, 2016
  • Revised Date: June 12, 2016
    Graphical Abstract
    • Abstract
  • Based on the Legendre pseudospectral method, the optimal control of free floating space robots path planning problems are studied. Free floating is the working status for the space robots in task and path planning is the foundation for them to fulfil a complex space task. Because the space robots have no fixed pedestal and there are nonholonomic constraints between the manipulator and the carrier, and it makes the path planning for free floating space robots different from those on the ground. In this paper, the Legendre pseudospectral method which can realize the optimal control of free floating space robots path planning problem is presented. Firstly, a dynamic model of free floating space robots is established by using multi-body dynamics theory. The path planning problem of Bolza with certain initial and terminal stance is then obtained. Here, we select the minimum joint dissipation as performance index and consider the actual control input saturation. Then, by applying the Legendre pseudospectral method, the state and control variables are discretized at Legendre-Gauss-Lobatto (LGL) point and Lagrange interpolation polynomials are constructed to approximate the state and control variables. The problem of continuous path optimization is discretized to solve a nonlinear programming problem. Finally, results of the numerical simulation show that using the application of Legendre pseudospectral method to solve the problem of free floating space robot path planning can get the optimal trajectory of manipulator and carrier. It can fit various constraint conditions well. And this method is with fast simulation calculation, high accuracy and good real-time performance.
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  • 1 Dubowsky S, Papadopoulos E. The kinematics, dynamics, and control of free-flying and free-floating space robotic systems. IEEE Transactions on Robotics and Automation, 1993, 9 (5): 531-542
    2 Krishman S. Vadali SR. Optimal rotational maneuvers of spacecraft using manipulator arms. Proc. of AIAA Conference on Guidance, Navigation and Control, 1994
    3 Yamada K, Yoshikawa S. Feedback control of space robot attitude by cyclic arm motion. Journal of Guidance,Control,and Dynamics, 1997, 20(4): 715-720
    4 Nakamura Y, Mukherjee R. Nonholonomic path planning of space robots via a bi-directional approach. IEEE Transactions on Robotics and Automation, 1991, 7 (4): 500-514
    5 刘延柱, 顾晓勤. 空间机械臂逆动力学的Liapunov 方法. 力学学报, 1996, 28 (5): 558-563 (Liu Yanzhu, Gu Xiaoqin. The Liapunov method for the inverse dynamics of a space manipulator. Acta Mechanica Sinica, 1996, 28 (5): 558-563 (in Chinese))
    6 Coverstone VL, Wilkey NM. Optimal control of a satellite-robot system using direct collocation with non-linear programming. Acta Astronautica, 1995, 36 (3): 149-162
    7 Cerven WT, Coverstone VL. Optimal reorientation of multibody spacecraft through joint motion using averaging theory. Journal of Guidance,Control,and Dynamics, 2001, 24(4): 788-795
    8 Fenandes C, Gurvits L, Li ZX. Attitude control of a space platform/manipulator system using internal motion. The Inter Journal of Robotics Research, 1994, 13(4): 289-304
    9 Rui C, Kolmanovsky IV, McClamroch NH. Nonlinear attitude and shape control of spacecraft with articulated appendages and reaction wheels. IEEE Transactions on Automatic Control, 2000, 45(8): 1455-1469
    10 王景,刘良栋. 双臂空间机器人利用内部运动的姿态控制. 宇航学报, 2000, 21(1): 28-35 (Wang Jing, Liu Liangdong. Attitude control of dual-arm space robot using internal control. Journal of Astronautics, 2000, 21(1): 28-35 (in Chinese))
    11 赵晓东, 王树国, 严艳军等. 基于轨迹规划的自由漂浮空间机器人抓取运动物体的研究. 宇航学报, 2002, 23(3): 48-51 (Zhao Xiaodong, Wang Shuguo, Yan Yanjun, et al. Algorithm of capturing at a moving body for a free-floating space manipulator based on trajectory planning. Journal of Astronautics, 2002, 23(3): 48-51(in Chinese))
    12 Ge XS, Chen LQ, Liu YZ. Optimal control of the deployment process of solar wings on spacecraft. Acta Astronautics, 2007, 60(8): 684-690
    13 戈新生, 孙鹏伟. 自由漂浮空间机械臂的非完整运动规划粒子群优化算法, 机械工程学报, 2007, 43(4): 34-38 (Ge Xinsheng, Sun Pengwei. Nonholonmic motion planning of space manipulator system using particle swarm optimization. Chinese Journal of Mechanical Engineering, 2007, 43(4): 34-38(in Chinese))
    14 Elnagar G, Kazemi MA, Razzaghi M. The pseudospectral Legendre method for discretizing optimal control problems. IEEE Trans on Automatic Control, 1995, 40(10): 1793-1796
    15 Fahroo F, Ross IM. Costate estimation by a Legendre pseudospectral method. Journal of Guidance,Control and Dynamics, 2001, 24(2):270-277
    16 Ross IM, Fahroo F. Pseudospectral knotting methods for solving optimal control problem. Journal of Guidance,Control and Dynamics, 2004, 27(3): 397-405
    17 Rao AV, Clarke KA. Performance optimization of a maneuvering re-entry vehicle using a legendre pseudospectral method. 2002 AIAA Atmospheric Flight Mechanics Conference, AIAA Paper 2002-4885, Monterey, CA August 5–8, 2002
    18 Huntington GT, Rao AV. Optimal reconfiguration of spacecraft formations using the gauss pseudospectral method. Journal of Guidance, Control,and Dynamics, 2012, 31(3): 689-698
    19 雍恩米, 唐国金, 陈磊. 基于Gauss 伪谱方法的高超声速飞行器再入轨迹快速优化. 宇航学报, 2008, 29(6): 1766-1772 (Yong Enmi, Tang Guojin, Chen Lei. Rapid trajectory optimization for hypersonic reentry vehicle via gauss pseudospectral method. Journal of Astronautics, 2008, 29(6): 1766-1772(in Chinese))
    20 Li S, Duan GR. A pseudospectral method for trajectory optimization of free-floating space manipulator. Chinese Control Conference, 2012, 2395-2399
    21 Duan GR, Li S. FFSM trajectory optimization via multiphase Gauss pseudospectral method. The 10th World Congress on Intelligent Control and Automation, 2012, 1615-1620
    22 廖一寰, 李道奎, 唐国金. 基于混合规划策略的空间机械臂运动规划研究. 宇航学报, 2011, 32(1): 98-103 (Liao Yihuan, Li Daokui, Tang Guojin. Motion planning of space manipulator system based on a hybrid programming strategy. Journal of Astronautics, 2011, 32(1): 98-103(in Chinese))
    23 Liao YH, Li DK, Tang GJ. Motion planning for vibration reducing of free-floating redundant manipulators based on hybrid optimization approach. Chinese Journal of Aeronautics, 2011, 24(4): 533-540
    24 刘延柱, 潘振宽, 戈新生. 多体系统动力学(第二版). 北京: 高等教育出版社, 2014 (Liu Yanzhu, Pan Zhenkuan, Ge Xinsheng. Dynamics of Multibody Systems, (Second edition). Beijing: Higher Education Press, 2014(in Chinese))
    25 Shuster MD. A survey of attitude representations. Journal of Astronautics Science, 1993, 41(4): 439-518
    26 Hull DG. Optimal Eontrol Theory for Applications. Springer-Verlag, New York, 2003
    27 戈新生. 多体航天器姿态运动建模和非完整运动控制. [博士论文]. 上海: 上海大学, 2004: 114-121 (Ge Xinsheng. Multibody spacecraft modelling of attitude motion and nonholonomic motion planning. [PhD Thesis]. Shanghai: Shanghai University, 2004: 114-121(in Chinese))
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