Optimal guidance law in the plane
Optimal guidance law in the plane
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DOI：
10.2514/3.56387
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发表时间：
1984-07
影响因子：
2.6
通讯作者：
M. Guelman;J. Shinar
中科院分区：
文献类型：
--
作者：
M. Guelman;J. Shinar
利用精确的平面非线性运动方程，导出了飞行器追击机动规避器的最优制导律。假设追捕者可以完全了解逃避者的运动。追赶者和逃避者都以匀速移动。制导律使捕获时间和消耗的机动能量的加权线性组合最小化。运动方程以椭圆积分的封闭形式求解。数值结果说明了最优制导律相对于比例导航和硬转弯后直线形成的轨迹的优越性。本文还概述了该方法在三维情况下的扩展。
Using the exact nonlinear equations of motion in the plane, an optimal guidance law for a vehicle pursuing a maneuvering evader is derived. It is assumed that a complete knowledge of the evader's motion is available to the pursuer. Both the pursuer and the evader move with constant velocities. The guidance law minimizes a weighted linear combination of the time of capture and the expended maneuvering energy. The equations of motion are solved in closed form in terms of elliptic integrals. Numerical results are presented in order to illustrate the advantages of the optimal guidance law as compared both with proportional navigation and a trajectory formed by a hard turn followed by a straight line. The extension of the approach to the three-dimensional case is also outlined.