研究在轨服务航天器自主逼近与捕获目标航天器过程中的相对位置和姿态耦合动力学与控制问题。考虑控制输入耦合,建立服务航天器对目标航天器的相对位置和姿态一体化耦合动力学模型。基于此耦合动力学模型,考虑相对位置跟踪中的控制指令耦合和控制输出受限,利用反馈线性化理论,设计相对位置和姿态一体化耦合控制算法。并利用李雅普洛夫理论证明存在有界干扰时控制系统的稳定性。数学仿真的结果表明,相对位置和姿态一体化耦合控制算法是有效的,具有较好的跟踪性能和一定的抗干扰能力。
The problems of coupled relative position and attitude dynamics and control of an on-orbit servicing spacecraft while it is going to rendezvous and dock with a target spacecraft are investigated in this paper. Considering coupled control inputs, an integrated coupling relative position and attitude dynamic model of the on-orbit servicing spacecraft is built with respect to the target spacecraft. For the above-mentioned integrated coupling dynamic model, an integrated coupling control algorithm is proposed based on feedback linearization. This algorithm also takes into consideration the coupled relative position tracking control and bounded control inputs. Under the condition of bounded disturbance, the closed-loop system is proved to be steady by Lyapunov stability theory. Numerical simulation results demonstrate that the coupled control law is robust with perfect tracking performance.
[1] Croomes S. Overview of the DART mishap investigation results. NASA Report, 2006.
[2] Davis T M, Melanson D. XSS-10 micro-satellite flight demonstration program results//Proceedings of SPIE. 2008, 5419: 16-25.
[3] David L. Military micro-sat explores space inspection, servicing technologies. (2005-07-22). http://www.space.com/businesstechnology/050722_XSS-11_test.html.
[4] Friend R B. Orbital express program summary and mission overview//Sensors and Systems for Space Applications II. Washington: SPIE, 2008, 6958: 695803-1-695803-11.
[5] Dornheim M A. Orbital express to test full autonomy for on-orbit service. (2006-06-04). http://www.aviationnow.com/avnow/news/channel_awst_story.jsp?id=news/aw060506p1.xml.
[6] Bosse A B, Barnds W J, Brown M A, et al. SUMO: spacecraft for the universal modification of orbits//Proceedings of the SPIE Defense and Security Symposium. Washington: SPIE, 2004, 5419: 36-46.
[7] Meirovitch L, Chen Y. Trajectory and control optimization for flexible space robots[J]. Journal of Guidance, Control, and Dynamics, 1995, 18(3): 493-502.
[8] Seweryn K, Banaszkiewicz M. Optimization of the trajectory of a general free-flying manipulator during the rendezvous maneuver. AIAA-2008-7273, 2008.
[9] Hablani H B. Autonomous inertial relative navigation with sight-line-stabilized integrated sensors for spacecraft rendezvous[J]. Journal of Guidance, Control, and Dynamics, 2009, 32(1): 172-183.
[10] Shibata M, Ichikawa A. Orbital rendezvous and flyaround based on null controllability with vanishing energy[J]. Journal of Guidance, Control, and Dynamics, 2007, 30(4): 934-945.
[11] Sebastian G. Modeling the coupled translational and rotational relative dynamics for formation flying control. AIAA-2005-6091, 2005.
[12] Pan H, Kapila V. Adaptive nonlinear control for spacecraft formation flying with coupled translational and attitude dynamics//Proceedings of the 40th IEEE Conference on Decision and Control. 2001, 3: 2057-2062.
[13] Pan H, Wong H, Kapila V. Output feedback control for spacecraft with coupled translation and attitude dynamics//Proceedings of the 43rd IEEE Conference on Decision and Control. 2004, 4: 4453-4458.
[14] Wong H, Pan H, Kapila V. Output feedback control for spacecraft formation flying with coupled translation and attitude dynamics//Proceedings of the 2005 American Control Conference. 2005, 4: 2419-2426.
[15] 彭冬亮, 荆武兴, 徐世杰. 停靠阶段轨道姿态耦合动力学与控制研究[J]. 飞行力学, 2002, 20(1): 33-37. Peng Dongliang, Jing Wuxing, Xu Shijie. The coupling dynamics and control of orbit and attitude during the final approach phase[J]. Flight Dynamics, 2002, 20(1): 33-37. (in Chinese)
[16] 吴云华, 曹喜滨, 张世杰, 等. 编队卫星相对轨道与姿态一体化耦合控制[J]. 南京航空航天大学学报, 2010, 42(1): 13-20. Wu Yunhua, Cao Xibin, Zhang Shijie, et al. Relative orbit and attitude integrated coupled control for formation satellite[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2010, 42(1): 13-20. (in Chinese)
[17] Subbarao K, Welsh S. Nonlinear control of motion synchronization for satellite proximity operations[J]. Journal of Guidance, Control, and Dynamics, 2008, 31(5): 1284-1294.
[18] Bando M, Ichikawa A. Periodic orbits of nonlinear relative dynamics and satellite formation[J]. Journal of Guidance, Control, and Dynamics, 2009, 32(4): 1200-1208.
[19] Wie B, Lu J. Feedback control logic for spacecraft eigenaxis rotations under slew rate and control constraints[J]. Journal of Guidance, Control, and Dynamics, 1995, 18(6): 1372-1379.
[20] 王炳全, 崔祜涛, 杨涤. 轻型高精度卫星的变结构姿态控制器[J]. 航空学报, 2000, 21(5): 417-420. Wang Bingquan, Cui Hutao, Yang Di. Variable-structure controller of small satellite fine attitude[J]. Acta Aeronautica et Astronautica Sinica, 2000, 21(5): 417-420. (in Chinese)