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空间微分几何制导律应用研究 被引量:19

Application of the 3D Differential Geometric Guidance Commands
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摘要 分析了空间微分几何制导指令在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的曲率理论将微分几何制导曲率和挠率指令从弧长体系转换到时域下,然后基于理想飞行控制系统假设给出了指令攻角和指令侧滑角的算法以及空间微分几何制导律,最后推导出拦截高速目标时的初始捕获必要条件和奇异条件。仿真结果表明,空间微分几何制导律可以应用于实际的拦截场景,且与传统的比例导引律相比,该制导律对机动目标具有更好的拦截性能。 The application of three-dimensional(3D) differential geometric(DG) guidance commands to a realistic tactical missile interception scenario is investigated.In particular,the capture capability and interception performance of the law are analyzed.The classical DG formulations are utilized firstly to transform the DG guidance commands from the arc-length system to the time domain.Then,an algorithm for commanded angle-of-attack and sideslip angle is introduced to form the 3D DG guidance law.Finally,a new neces...
出处 《宇航学报》 EI CAS CSCD 北大核心 2007年第5期1235-1240,共6页 Journal of Astronautics
关键词 微分几何 导弹制导 初始条件 比例导引 Differential geometry Missile guidance Initial condition Proportional navigation
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参考文献7

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