过虚拟交班点的能量最优制导律

doi:10.7527/S1000-6893.2019.23249

电子电气工程与控制

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过虚拟交班点的能量最优制导律

李晨迪^1,2, 王江^1,2, 李斌^1,2, 何绍溟^1,2, 张彤³

1. 北京理工大学宇航学院, 北京 100081;
2. 北京理工大学无人机自主控制技术北京市重点实验室, 北京 100081;
3. 北方华安工业集团, 齐齐哈尔 161006

收稿日期:2019-06-27 修回日期:2019-08-01 出版日期:2019-12-15 发布日期:2019-09-16
通讯作者: 李斌 E-mail:15201322183@163.com
基金资助:
国家自然科学基金（U1613225）

Energy-optimal guidance law with virtual hand-over point

LI Chendi^1,2, WANG Jiang^1,2, LI Bin^1,2, HE Shaoming^1,2, ZHANG Tong³

1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
2. Beijing Key Laboratory of UAV Autonomous Control, Beijing Institute of Technology, Beijing 100081, China;
3. Hua An Industry Group Company Limited, Qiqihar 161006, China

Received:2019-06-27 Revised:2019-08-01 Online:2019-12-15 Published:2019-09-16
Supported by:
National Natural Science Foundation of China (U1613225)

摘要/Abstract

摘要： 针对固定目标的导弹过虚拟交班点制导问题，在希尔伯特空间下，基于最优化理论设计了有无终端落角约束两种情况下的全局能量最优制导律。通过对模型进行线性化，将提出的最优制导模型转化为线性二次型最优控制问题，在此基础上利用零控脱靶量（ZEM）概念对系统模型进行降阶，并推导出解析解。设计的制导律可以使导弹准确经过虚拟交班点，并实现期望终端落角。仿真结果表明，与经典制导律对比，该制导律可以显著减少全局控制能量消耗。

关键词: 最优制导, 虚拟交班点, 终端落角约束, 轨迹跟踪, 比例导引, 弹道成型制导律

Abstract: Aiming at the problem of fixed target missile guidance with virtual hand-over point, a global energy optimal guidance law with/without terminal angle constraint is designed based on the optimization theory in Hilbert space. By linearizing the model, the proposed optimal guidance model is transformed into a linear quadratic opti-mal control problem. Then the concept of Zero-Effort-Miss (ZEM) is used to reduce the order of the system, deriving the analytical solution. The proposed guidance law can ensure the missile pass through the virtual hand-over point accurately and reached the desired terminal angle. The simulation results show that, compared with the classical guidance law, the proposed guidance law can significantly reduce the energy consumption of global control.

Key words: optimal guidance, virtual hand-over point, terminal angle constraint, path following, proportional navigation guidance, trajectory shaping guidance

中图分类号:

李晨迪, 王江, 李斌, 何绍溟, 张彤. 过虚拟交班点的能量最优制导律[J]. 航空学报, 2019, 40(12): 323249-323249.

LI Chendi, WANG Jiang, LI Bin, HE Shaoming, ZHANG Tong. Energy-optimal guidance law with virtual hand-over point[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2019, 40(12): 323249-323249.

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E-mail：hkxb@buaa.edu.cn

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过虚拟交班点的能量最优制导律

Energy-optimal guidance law with virtual hand-over point

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