基于线性最小二乘方法的主动段目标初值估计

赵砚; 程洪玮; 易东云; 张倩

doi:10.3724/SP.J.1146.2010.00129

基于线性最小二乘方法的主动段目标初值估计

doi: 10.3724/SP.J.1146.2010.00129

赵砚^{① 程洪玮},
程洪玮,
易东云,
张倩

基金项目:

国家自然科学基金(60974124)资助课题

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- 被引次数: 0
出版历程
- 收稿日期: 2010-02-02
- 修回日期: 2010-06-09
- 刊出日期: 2010-12-19

Initial State Estimation for Boost Phase Object Based on Linear Least Square Estimation

摘要

摘要: 主动段目标初值估计是导弹目标战术参数估计的重要内容，是监视系统进行实时跟踪的前提条件。在天基观测背景下，该问题是非线性最小二乘求解问题。该文建立了主动段8态重力转弯模型和天基测量模型，通过用常加加速度线性模型来近似目标运动学参数，并对非线性测量进行伪线性化处理，将非线性最小二乘转化为线性最小二乘求解问题。特别地，给出了天基伪线性化测量及其统计特征的详尽推导，并进一步考察了测量伪线性化方法的适用范围。仿真实验中，通过与CRLB和传统的Gauss-Newton迭代方法比较，证明了该文方法在估计精度和运算效率上的优势。
- 目标跟踪 /
- 初值估计 /
- 最小二乘问题 /
- 重力转弯模型 /
- 天基观测 /
- 伪线性化测量
Abstract: The initial state estimation for boost phase object is an important issue to estimate the missiles tactical parameters, as well as the precondition for the surveillance system to perform the real-time tracking. In the condition of the space-based observations, the initial state estimation is the solution of the nonlinear LSE problem. Firstly, the 8-state gravity turn model for the boost phase object is established, and then the targets kinematic parameters are approximated by using the linear constant acceleration derivative model, and the nonlinear measurements are pseudo linearized. Therefore, the nonlinear LSE problem is translated into the linear LSE problem after the aforementioned steps . Specially, in this paper, the explicit derivation of the pseudo linearized space-based observation and its statistical moments are deduced, and its application conditions are illuminated. Finally, the advantage of the proposed method is illustrated in the aspects of precision and efficiency by comparing with the CRLB and classical Gauss-Newton iteration algorithm.
- Object tracking /
- Initial state estimation /
- Least Square Estimation (LSE) /
- Gravity turn model /
- Space-based observation /
- Pseudo linearized observation

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Danis N J. Space-based tactical trajectory estimation with angle-only measurements[J].IEEE Transactions on Aerospace and Electronic Systems.1993, 29(2):412-424[2]Gokhan H I. Sensor fusion for boost phase interception of ballistic missiles[D]. [MA. dissertation], Naval Postgraduate School, Monterey, California, September 2004.[3]Martin A and Bert J. Gauss-Newton-type techniques for robustly fitting implicitly defined curves and surfaces to unorganized data points[C]. Proceedings of IEEE international conference on shape modeling and applications, Stony Brook, New York, June 4-6, 2008: 121-130.[4]Yeddanapudi M, Bar-Shalom Y, and Pattipati K R. Ballistic missile track initiation from satellite observations [J].IEEE Transactions on Aerospace and Electronic Systems.1995, 31(3):1054-1071[5]Rudd J G, et al.. Surveillance and tracking of ballistic missile launches[J].IBM Journal of Reasearch and Development.1994, 38(2):195-216[6]樊士伟，张涛，周伯昭. 伪线性主动段弹道估计方法[J].电子与信息学报.2005, 27(9):1503-1506浏览Fan Shi-wei, Zhang Tao, and Zhou Bo-zhao. The trajectory estimation in boost-phase using pseudolinear estimator[J].Journal of Electronics Information Technology.2005, 27(9):1503-1506[7]Farrell W J. Interacting multiple model filter for tactical ballistic missile tracking[J].IEEE Transactions on Aerospace and Electronic Systems.2008, 44(2):418-426[8]Li X R and Jilkov V P. A survey of maneuvering target trackingpart one: dynamic models[J].IEEE Transactions on Aerospace and Electronic Systems.2003, 39(4):1333-1363[9]Kutluyil D. Relationship between geometric translations and TLS estimation bias in bearings-only target localization[J].IEEE Transactions on Signal Processing.2008, 56(3):1005-1017[10]Li X R and Jilkov V P. A survey of maneuvering target trackingpart two: ballistic target models[C]. Proceedings of SPIE conference on signal and data processing of small targets, San Diego, CA, USA, July-August 2001: 1-23.[11]Smith M S. Military space programs: issues concerning DoDs SBIRS and STSS programs[R]. AD Report, March 17, 2005.[12]李济生，等. 航天器轨道确定[M]. 北京：国防工业出版社，2003, 4: 66.[13]谢恺，薛模根，周一宇，等. 天基红外低轨星座对目标的跟踪算法研究[J].宇航学报.2007, 28(3):694-701Xie Kai, Xue Mo-gen, and Zhou Yi-yu, et al.. Comparison of ballsitic target tracking filters in the space-based infrared LEO constellation[J]. Journal of Astronautics, 2007, 28(3): 694-701.[14]Claude J. Observability and fisher information matrix in nonlinear regression[J].IEEE Transactions on Aerospace and Electronic Systems.2007, 43(2):756-759[15]Wang Zhan and Gamini D. Observability analysis of SLAM using Fisher information matrix[C]. Proceedings of 10th international conference on control, automation, robotics and vision. Hanoi, Vietnam, December 17-20, 2008: 1242-1247.[16]Xu Zhi-gang, Sheng An-dong, and Li Yin-ya. Cramer-Rao lower bounds for bearings-only maneuvering target tracking with incomplete measurements[C]. Proceedings of 2009 Chinese control and decision conference (CCDC 2009), Guilin, 2009: 2201-2206.

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