电子与自动控制

基于普通分离原理的制导/估计综合设计方法

  • 叶继坤 ,
  • 雷虎民 ,
  • 李炯 ,
  • 陈治湘
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  • 1. 空军工程大学 导弹学院, 陕西 三原 713800;2. 空军93671部队, 北京 101400

收稿日期: 2010-04-12

  修回日期: 2010-05-05

  网络出版日期: 2011-01-25

Integration Design Method of Estimation and Guidance Based on General Separation Theorem

  • YE Jikun ,
  • LEI Humin ,
  • XIAO Zengbo ,
  • LI Jiong
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  • 1. Missile Institute, Air Force Engineering University, Sanyuan 713800, China;2. Air Force Unit 93671, Beijing 101400, China

Received date: 2010-04-12

  Revised date: 2010-05-05

  Online published: 2011-01-25

摘要

现有的先进制导律研究常常分离设计最优估计器和最优制导律,但是这种分离设计没有被证明是有效和最优的设计方法。本文基于普通分离原理(GST),提出一种制导/估计综合设计方法。首先,将拦截器反导作战模型考虑为一类非线性、非高斯追逃拦截问题,建立了噪声环境中追逐-逃逸对策模型;其次,引入追逃未达集概念,利用几何方法将估计器设计方法结合到制导律的设计中,通过理论推导综合设计了估计器和制导律,给出了未达集中心调整制导律(MSC);最后,通过数值仿真验证了未达集中心调整制导律的制导性能和有效性,并与传统的扩展比例导引律(APN)进行了对比,显示了其优越的制导性能。

本文引用格式

叶继坤 , 雷虎民 , 李炯 , 陈治湘 . 基于普通分离原理的制导/估计综合设计方法[J]. 航空学报, 2011 , 32(1) : 137 -144 . DOI: CNKI:11-1929/V.20101111.0909.008

Abstract

Present interceptor guidance research is frequently based on separating the design of the estimator and that of the guidance law, but the theorem is not proven valid and optimal. This article proposes a new way of integrating the guidance and estimation using the general separation theorem (GST). First, based on the consideration that the model for anti-missiles is a nonlinear and non-Gaussian problem, a model is built of guiding a missile towards an evading agile target in noisy environments. Second, the concept of a miss-set is introduced, and a geometric approach is utilized to incorporate the design of a guidance law into that of the optimal estimator under the guidelines of the general separation theorem. After an integrated guidance and estimation is derived, a miss-set centering guidance law (MSC) is proposed. Finally, a numerical study is provided which demonstrates the performance and viability of the proposed method in a realistic engagement scenario. A comparison between the proposed method and the augmented proportional guidance law (APN) is carried out to demonstrate a significant improvement of the former over the latter.
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