电子学报 ›› 2017, Vol. 45 ›› Issue (7): 1770-1774.DOI: 10.3969/j.issn.0372-2112.2017.07.030

• 学术论文 • 上一篇    下一篇

基于EM的主动段弹道导弹跟踪算法研究

薛高茹, 梁彦, 谯平, 杨柳青   

  1. 西北工业大学自动化学院, 陕西西安 710072
  • 收稿日期:2015-12-30 修回日期:2016-11-08 出版日期:2017-07-25 发布日期:2017-07-25
  • 作者简介:薛高茹,女,1992年8月出生于山西运城,硕士研究生,系统工程专业,主要研究方向信息融合、目标跟踪.E-mail:xgr@mail.nwpu.edu.cn;梁彦,男,1971年出生于河南,博士生导师,主要研究方向为估计理论、信息融合.E-mail:liangyan@nwpu.edu.cn
  • 基金资助:

    国家自然科学基金(No.61135001,No.61374023);西北工业大学研究生创意创新种子基金(No.Z2016141)

Research on Boost-Phase Ballistic Missile Tracking Algorithm Using EM

XUE Gao-ru, LIANG Yan, QIAO Ping, YANG Liu-qing   

  1. School of Automation, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China
  • Received:2015-12-30 Revised:2016-11-08 Online:2017-07-25 Published:2017-07-25

摘要:

为了提高未知弹道参数下主动段目标跟踪的精度,提出基于期望最大化(Expectation Maximization,EM)的联合优化算法框架.首先在E步基于平滑器得到状态和未知参数的后验估计,然后在M步计算初始状态的均值、协方差以及过程噪声协方差等未知统计量,最后推导出基于URTS(Unscented Rauch-Tung-Striebel)的EM算法,并给出未知统计量的最优解析解,避免了非凸优化难以求解的问题.仿真结果表明:在相同量级的计算量下,本文算法的状态估计精度优于迭代UKF(Unscented Kalman Filter)算法.

关键词: 弹道导弹, 主动段, 期望最大化, 参数辨识, 联合优化

Abstract:

In this paper,framework of joint optimization algorithm based on EM (Expectation Maximization) is proposed for tracking a boost-phase ballistic target with unknown ballistic parameters.Firstly,the state and unknown parameters are estimated based on smoother in the E step.Then the mean and covariance of initial states,and the noise covariances are calculated in the M step.At last,URTS (Unscented Rauch-Tung-Striebel) based on EM is derived and the analytical forms of unknown statistics parameters are given,which makes the non-convex numerical optimization unnecessary.The result shows that the proposed algorithm is more accurate than iterative UKF (Unscented Kalman Filter) with the same order of magnitude of calculation.

Key words: ballistic missile, boost-phase, EM, parameter identification, joint optimization

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