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卫星编队飞行的鲁棒自适应控制方法

董晓光 曹喜滨 张锦绣 施梨

董晓光, 曹喜滨, 张锦绣, 施梨. 卫星编队飞行的鲁棒自适应控制方法. 自动化学报, 2013, 39(2): 132-141. doi: 10.3724/SP.J.1004.2013.00132
引用本文: 董晓光, 曹喜滨, 张锦绣, 施梨. 卫星编队飞行的鲁棒自适应控制方法. 自动化学报, 2013, 39(2): 132-141. doi: 10.3724/SP.J.1004.2013.00132
DONG Xiao-Guang, CAO Xi-Bin, ZHANG Jin-Xiu, SHI Li. A Robust Adaptive Control Law for Satellite Formation Flying. ACTA AUTOMATICA SINICA, 2013, 39(2): 132-141. doi: 10.3724/SP.J.1004.2013.00132
Citation: DONG Xiao-Guang, CAO Xi-Bin, ZHANG Jin-Xiu, SHI Li. A Robust Adaptive Control Law for Satellite Formation Flying. ACTA AUTOMATICA SINICA, 2013, 39(2): 132-141. doi: 10.3724/SP.J.1004.2013.00132

卫星编队飞行的鲁棒自适应控制方法

doi: 10.3724/SP.J.1004.2013.00132
详细信息
    通讯作者:

    董晓光

A Robust Adaptive Control Law for Satellite Formation Flying

  • 摘要: 研究了主从式框架下编队飞行的相对控制问题.首先推导了描述主从星相对运动的完整非线性动力学模型, 利用完整模型的无摄动形式提出了最优参考轨迹生成问题,并应用高斯伪谱法将此问题转换成非线性规划问题,使其可以数值求解; 基于Lyapunov 方法设计了闭环系统的鲁棒自适应控制器,在存在未知干扰、未知主星轨道参数与控制以及未知从星质量的情况下, 仅利用相对状态测量即能够保证闭环系统的参考轨迹跟踪误差和参数估计误差全局一致最终有界,并证明了跟踪误差的最终界可以 通过选取合理的控制器参数使其任意小;最后给出了具体的仿真场景验证了本文主要结果的有效性.
  • [1] Kapila V, Sparks A G, Buffington J M, Yan Q G. Spacecraft formation flying: dynamics and control. In: Proceedings of the 1999 IEEE American Control Conference. San Diego: IEEE, 1999. 4137-4141[2] Schaub H, Alfriend K T. Impulsive feedback control to establish specific mean orbit elements of spacecraft formations. Journal of Guidance, Control, and Dynamics, 2001, 24(4): 739-745[3] de Queiroz M S, Kapila V, Yan Q G. Adaptive nonlinear control of multiple spacecraft formation flying. Journal of Guidance, Control, and Dynamics, 2000, 23(3): 385-390[4] Wong H, Pan H Z, de Queiroz M S, Kapila V. Adaptive learning control for spacecraft formation flying. In: Proceedings of the 40th IEEE Conference on Decision and Control. Orlando, USA: IEEE, 2001. 1089-1094[5] Liu H T, Shan J J, Sun D. Adaptive synchronization control of multiple spacecraft formation flying. Journal of Dynamic Systems, Measurement, and Control, 2007, 129(3): 337-342[6] Wong H, Kapila V, Sparks A G. Adaptive output feedback tracking control of spacecraft formation. International Journal of Robust and Nonlinear Control, 2002, 12(2-3): 117-139[7] Lima H C, Bang H. Adaptive control for satellite formation flying under thrust misalignment. Acta Astronautica, 2009, 65(1-2): 112-122[8] Mei Jie, Ma Guang-Fu. Robust adaptive control of relative orbit for nearby spacecraft. Journal of Astronautics, 2010, 31(10): 2276-2282 (梅杰, 马广富. 近距离航天器相对轨道的鲁棒自适应控制. 宇航学报, 2010, 31(10): 2276-2282)[9] Pongvthithum R, Veres S M, Gabriel S B, Rogers E. Universal adaptive control of satellite formation flying. International Journal of Control, 2005, 78(1): 45-52[10] Lim H C, Bang H C, Park K D, Lee W K. Optimal formation trajectory-planning using parameter optimization technique. Journal of Astronomy and Space Sciences, 2004, 21(3): 209-220[11] Cho H C, Park S Y. Analytic solution for fuel-optimal reconfiguration in relative motion. Journal of Optimization Theory and Applications, 2009, 141(3): 495-512[12] Wang S Y, Zheng C W, Wang Y X. A time-fuel optimal for spacecraft formation reconfiguration. In: Proceedings of the 2007 IEEE Congress on Evolutionary Computation. Singapore: IEEE, 2007. 994-998[13] Lim H C, Bang H. Trajectory planning of satellite formation flying using nonlinear programming and collocation. Journal of Astronomy and Space Sciences, 2008, 25(4): 361-374[14] Khalil H K, Grizzle J. Nonlinear Systems. New Jersey: Prentice Hall, 2006. 168-174[15] Kwon W H, Moon Y S, Ahn S C. Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results. International Journal of Control, 1996, 64(3): 377-390[16] Davies R K, Shi P, Wiltshire R. New upper matrix bounds for the solution of the continuous algebraic Riccati matrix equation. International Journal of Control, Automation, and Systems, 2008, 6(5): 776-784
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  • 被引次数: 0
出版历程
  • 收稿日期:  2011-11-11
  • 修回日期:  2012-06-05
  • 刊出日期:  2013-02-20

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