| 过虚拟交班点的能量最优制导律 |
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| 引用本文： | 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. DOI: 10.7527/S1000-6893.2019.23249 |
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| 作者姓名： | 李晨迪 王江 李斌 何绍溟 张彤 |
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| 作者单位： | 北京理工大学宇航学院,北京 100081;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;北方华安工业集团,齐齐哈尔,161006 |
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| 基金项目： | 国家自然科学基金（U1613225） |
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| 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。
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| 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 |
| 收稿时间： | 2019-06-27 |
| 修稿时间： | 2019-08-01 |
Energy-optimal guidance law with virtual hand-over point |
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| LI Chendi,WANG Jiang,LI Bin,HE Shaoming,ZHANG Tong. Energy-optimal guidance law with virtual hand-over point[J]. Acta Aeronautica et Astronautica Sinica, 2019, 40(12): 323249-323249. DOI: 10.7527/S1000-6893.2019.23249 |
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| Authors: | LI Chendi WANG Jiang LI Bin HE Shaoming ZHANG Tong |
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| Affiliation: | 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 |
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| 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. |
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| Keywords: | optimal guidance virtual hand-over point terminal angle constraint path following proportional navigation guidance trajectory shaping guidance |
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