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平面微分几何制导律应用研究
引用本文:李超勇,齐治国,荆武兴. 平面微分几何制导律应用研究[J]. 哈尔滨工业大学学报, 2007, 39(7): 1031-1035
作者姓名:李超勇  齐治国  荆武兴
作者单位:哈尔滨工业大学,航天工程系,哈尔滨,150001;上海机电工程研究院,上海,200233
摘    要:分析了微分几何制导律在战术弹道导弹拦截场景中的捕获条件和捕获能力.首先根据古典微分几何中的曲率理论将微分几何制导曲率指令从弧长体系转换到时域下,然后给出了指令攻角的算法和微分几何制导律,最后推导出拦截高速目标时的初始必要捕获条件.仿真结果表明,微分几何制导律可以应用于战术弹道导弹拦截场景,且与比例导引律相比,该制导律对变机动目标具有更强的鲁棒性.

关 键 词:微分几何制导  战术弹道导弹拦截  捕获条件  比例导引
文章编号:0367-6234(2007)07-1031-05
修稿时间:2005-05-31

Practical study on 2D differential geometric guidance problem
LI Chao-yong,QI Zhi-guo,JING Wu-xing. Practical study on 2D differential geometric guidance problem[J]. Journal of Harbin Institute of Technology, 2007, 39(7): 1031-1035
Authors:LI Chao-yong  QI Zhi-guo  JING Wu-xing
Affiliation:1.Dept.of Aerospace Engineering;Harbin Institute of Technology;Harbin 150001;China;2.Shanghai Electro-Mechanical Engineering Institute;Shanghai 200233;China
Abstract:The application of 2D differential geometric guidance command to a realistic ATBM scenario is investigated.In particular,the capture capability and interception performance of the law are analyzed.Firstly,the classical differential geometric theory of curvature is used to transform the differential geometric guidance curvature command from the arc-length based system to the time based system.Secondly,an algorithm for the commanded angle-of-attack is derived in order to form the 2D differential geometric gui...
Keywords:differential geometry  anti-TBM  initial condition  proportional navigation  
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