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

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

1.
哈尔滨工业大学卫星技术研究所哈尔滨 150080

详细信息

通讯作者:
董晓光

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- 文章访问数: 1943
- HTML全文浏览量: 80
- PDF下载量: 1944
- 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

A Robust Adaptive Control Law for Satellite Formation Flying

1.
Research Center of Spacecraft Technology, Harbin Institute of Technology, Harbin 150080

摘要

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.
- 编队飞行 /
- 鲁棒自适应 /
- 参数估计 /
- 最终有界 /
- 轨迹规划 /
- 伪谱法
Abstract: This paper considers the relative control problem of earth-orbiting formations based on the leader-follower scheme. The full nonlinear dynamics describing the relative motion between the leader and the follower are derived. The non-perturbed form of the full dynamics is utilized to formulate the optimal reference trajectory generation problem which is transformed into a nonlinear programming problem for numerical solution by Gauss pseudospectral method. A robust adaptive controller is designed based on the Lyapunov method. Despite the presence of unknown disturbance, unknown reference orbit parameters, unknown control of the leader, and unknown mass of the follower, this controller can guarantee the global uniform ultimate boundedness of the closed-loop system using only relative measurements. The ultimate bound of the tracking error can be made arbitrarily small by proper choice of controller parameters. Simulation results are presented to illustrate the efficiency of the main results in this paper.
- Formation flying /
- robust adaptive /
- parameter estimation /
- ultimate boundedness /
- trajectory generation /
- pseudospectral method

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参考文献(1)

[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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