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首页> 外文期刊>Aerospace and Electronic Systems, IEEE Transactions on >Capture Region of a GIPN Guidance Law for Missile and Target with Bounded Maneuverability
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Capture Region of a GIPN Guidance Law for Missile and Target with Bounded Maneuverability

机译：GIPN导弹和目标机动性有限的GIPN制导法的捕获区域

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摘要

In this paper, a novel method is used to analyze the capture area of three-dimensional general ideal proportional navigation (GIPN) guidance laws. Using a line-of-sight (LOS) fixed natural coordinate and three modified polar variables (MPVs), the expression of relative dynamics between target and missile becomes simple, and no trigonometric functions are involved, which makes possible the analysis of the capture region when both target and missile are subject to bounded maneuverability. It can be shown that the determination of the desired capture area requires only the first two of the MPVs no matter if the maneuverability of missile and target are bounded or not. For the case of unbounded missile acceleration and known target acceleration, the capture region can be found analytically, while for the other cases, the capture region can be obtained graphically in a two-dimensional phase plane. The boundaries of these capture regions are characterized by the stable and unstable manifolds of related equilibrium points, which can only be determined numerically in general at this moment. The results of this work indicate that knowing the target acceleration and utilizing larger navigation coefficients increase the area of the capture region, which agrees with known results in literature.
机译：本文采用一种新颖的方法来分析三维一般理想比例导航（GIPN）制导律的捕获区域。使用视线（LOS）固定自然坐标和三个修正的极坐标（MPV），目标与导弹之间的相对动力学表达变得简单，并且不涉及三角函数，这使得对捕获区域的分析成为可能当目标和导弹都具有有限的机动性时。可以看出，无论导弹和目标的机动性是否有界，确定目标捕获区域仅需要MPV的前两个。对于无限制的导弹加速度和已知的目标加速度，可以通过分析找到捕获区域，而对于其他情况，可以在二维相平面中以图形方式获取捕获区域。这些捕获区域的边界以相关平衡点的稳定和不稳定歧管为特征，目前通常只能通过数值确定。这项工作的结果表明，了解目标加速度并利用更大的导航系数会增加捕获区域的面积，这与文献中的已知结果相符。

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