基于对偶数的航天器多特征融合相对导航算法

Abstract

Abstract: A vision-based relative navigation algorithm for spacecraft is addressed in this paper. Based on the dual number, a relative coupled dynamic equation is derived which can describe both the rotational motion and the translational motion of the chaser spacecraft relative to the target spacecraft, and the effect of rotation-translation coupling due to the point deviating from the center of the mass of the spacecraft. In the dual algebra, the feature lines and points are described uniformly. A multi-cue-based measurement model is proposed using the 2-D images of the feature lines and points fixed on the target spacecraft, and the iterated extended Kalman filter (IEKF) is applied to estimate the relative state between the points off the center of the mass of the two spacecraft. Numerical simulations are performed to demonstrate that the proposed approach can provide an accurate estimation of the relative position and attitude of points deviating from the center of the mass of the spacecraft.

Key words: dual quaternion, coupled dynamics, state estimation, vision measurement, Kalman filter

CLC Number:

V448.2

WANG Jianying, LIANG Haizhao, SUN Zhaowei, ZHANG Shijie. A Multi-cue-based Relative Navigation Algorithm for Spacecraft via Dual Number Representation[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2012, 33(10): 1881-1892.

References

[1] Segal S, Gurfil P. Stereoscopic vision-based spacecraft relative state estimation. AIAA-2009-6094, 2009.
[2] Zhang Z Y, Zhang J, Zhu D Y. A fast convergent pose estimation algorithm and experiments based on vision images. Acta Aeronautica et Astronautica Sinica, 2007, 28(4): 943-947. (in Chinese) 张志勇, 张靖, 朱大勇. 一种基于视觉成像的快速收敛的位姿测量算法及实验研究. 航空学报, 2007, 28(4): 943-947.
[3] Zhang S J, Liu F H, Cao X B, et al. Monocular vision-based two-stage iterative algorithm for relative position and attitude estimation of docking spacecraft. Chinese Journal of Aeronautics, 2010, 23(2): 204-210.
[4] Watanabe Y, Johnson E N, Calise A J. Optimal 3-D guidance from a 2-D vision sensor. AIAA-2004-4779, 2004.
[5] Xing Y J, Cao X B, Zhang S J, et al. Relative position and attitude estimation for satellite formation with coupled translational an rotational dynamics. Acta Astronautica, 2010, 67(3-4): 455-467.
[6] Clohessy W, Wiltshire R. Terminal guidance system for satellite rendezvous. Journal of Aerospace Sciences, 1960, 27(9): 653-658.
[7] Lawden D F. Optimal trajectories for space navigation. London: Butterworths, 1963: 79-86.
[8] Carter T, Huni M. Fuel-optimal rendezvous near a point in general Keplerian orbit. Journal of Guidance, Control, and Dynamics, 1987, 10(6): 567-572.
[9] Pan H Z, Kapila V. Adaptive nonlinear control for spacecraft formation flying with coupled translational and attitude dynamics. 40th IEEE Conference on Decision and Control, 2001: 2057-2062.
[10] Kristiansen R, Nicklasson P J, Gravdahl J T. Spacecraft coordination control in 6DOF: integrator backstepping vs passivity-based control. Automatica, 2008, 44(11): 2896- 2901.
[11] Clifford W K. Preliminary sketch of biquaternions. Proceedings of the London Mathematical Society, 1871, s1-4(1): 381-395.
[12] Study E. Von den bewegungen und umlegungen. Mathematische Annalen, 1891, 39(4): 441-556.
[13] Wu Y X. Research on dual quaternion navigation algorithm and nonlinear Gaussian filtering. Changsha: National University of Defense Technology, 2005. (in Chinese) 武元新. 对偶四元数导航算法与非线性高斯滤波研究.长沙:国防科学技术大学, 2005.
[14] Brodsky V, Shoham M. Dual numbers representation of rigid body dynamics. Mechanism and Machine Theory, 1999, 34(5): 693-718.
[15] Wang J Y, Liang H Z, Sun Z W. Dual-number-based research on relative coupled dynamics and control. Journal of Astronautics, 2010, 31(7): 1711-1717. (in Chinese) 王剑颖,梁海朝,孙兆伟. 基于对偶数的相对耦合动力学与控制. 宇航学报, 2010, 31(7): 1711-1717.
[16] Goddard J S. Pose and motion estimation from vision using dual quaternion-based extended Kalman filtering. Tennessee: The University of Tennessee, 1997.
[17] Chiang Y T, Huang P Y, Chen H W, et al. Estimation of 3-D transformation from 2-D observing image using dual quaternion. Proceedings of the 17th World Congress, the International Federation of Automatic Control, 2008: 10445-10450.
[18] Ding S W, Wang H N, Liu H Y, et al. Algorithm of vision measure for relative position and pose of RVD spacecrafts based on dual-quaternion. Journal of Astronautics, 2009, 30(6): 2145-2150. (in Chinese) 丁尚文,王惠南,刘海颖,等. 基于对偶四元数的航天器交会对接位姿视觉测量算法. 宇航学报, 2009, 30(6): 2145-2150.
[19] Wang F, Chen X Q, Cao X B. The research of on-orbit parameters estimation for on-orbit servicing spacecraft relative to out-of-control spacecraft. Journal of Astronautics, 2009, 30(4): 1396-1403. (in Chinese) 王峰, 陈雪芹, 曹喜滨. 在轨服务航天器对失控航天器参数估计算法研究. 宇航学报, 2009, 30(4): 1396-1403.
[20] Wu X D, Jiang X H, Zheng R J, et al. An application of unscented Kalman filter for pose and motion estimation based on monocular vision. IEEE International Symposium on Industrial Electronics, 2006: 2614-2619.
[21] Wu X D, Song Z H. Guassian particle filter based pose and motion estimation. Journal of Zhejiang University Science A, 2007, 8(10): 1604-1613.
[22] Sommer G, Rosenhahn B, Zhang Y W. Pose estimation using geometric contraints. Heidelberg, Germany: Springer-Verlag, 2001: 153-170.

A Multi-cue-based Relative Navigation Algorithm for Spacecraft via Dual Number Representation

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