A biased proportional navigation guidance law with large impact angle constraint and the time-to-go estimation
A biased proportional navigation guidance law with large impact angle constraint and the time-to-go estimation
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DOI：
10.1177/0954410013513754
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发表时间：
2014-08
期刊：
影响因子：
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通讯作者：
You-an Zhang;Guoxin Ma;Hua-li Wu
中科院分区：
文献类型：
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作者：
You-an Zhang;Guoxin Ma;Hua-li Wu
对于大冲击角控制问题（这里的“大冲击角”是指-180°到180°闭区间内的冲击角），准确估计剩余时间是冲击时间和冲击角控制指导（ITIACG）的关键。本文的目标是构建一种适用于大冲击角控制的新冲击角控制制导（IACG）律，并提出适用于设计 ITIACG 律的新 IACG 律的剩余时间估计程序。所构建的IACG律是一个具有大冲击角约束的偏置比例导航制导律，偏置项中超前角的余弦规则是为了保证超前角保持在-90°到90°的开区间内，这是开发剩余时间估计程序所需的。为了估计剩余时间，通过引入称为α的自会聚角，将封闭运动方程转化为不同的形式，在小超前角的假设下可以方便地求解。对于大超前角的情况，将剩余时间的时间间隔分为n段，假设每段超前角的最大增量为一个小角度，变换后的封闭运动方程可以表示为α角的函数并进行解析求解。提出了一种几何方法来保守地确定合适的α角，以保证每个分段中导程角的最大增量是一个小角度。说明了新 IACG 法的剩余时间估计程序。进行仿真以验证所提出的 IACG 定律的有效性以及剩余时间估计程序的准确性。
For large impact angle control problem (here, the “large impact angle” means the impact angle in the closed interval from −180° to 180°), estimating the time-to-go accurately is the key of impact time and impact angle control guidance (ITIACG). The objectives of this paper are to construct a new impact angle control guidance (IACG) law suitable for large impact angle control and present a time-to-go estimation procedure for the new IACG law suitable for designing ITIACG law. The constructed IACG law is a biased proportional navigation guidance law with large impact angle constraint, the rule of the cosine of the lead angle in the biased term is to guarantee that the lead angle remains in the open interval from −90° to 90°, which is required in the development of time-to-go estimation procedure. To estimate the time-to-go, by introducing a self-convergent angle named as alfa, the closed equations of motion are transformed to a different form, which can be solved conveniently under the assumption of small lead angle. For the case of large lead angle, the time interval of time-to-go is partitioned into n segments, the maximum increment of lead angle is supposed to be a small angle in each segment, the transformed closed equations of motion can be expressed as function of alfa angle and solved analytically. A geometric approach is proposed to determine conservatively a suitable alfa angle to guarantee that the maximum increment of lead angle is a small angle in each segment. The time-to-go estimation procedure for the new IACG law are illustrated. Simulations are performed to verify the effectiveness of the proposed IACG law and the accuracy of the time-to-go estimation procedure.