This paper proposes generalized polynomial guidance for controlling the terminal velocity vector (speed and flight path angle), which could be critical for the effectiveness of the warhead of tactical ballistic missiles. A polynomial reference trajectory satisfying the initial and terminal altitudes and flight path angles is introduced with a guidance parameter that can be chosen to change the terminal speed. A single differential equation of the speed along the reference trajectory is then derived and an iterative search method for determining the guidance parameter to satisfy the prescribed terminal speed is proposed. Numerical simulation study with various impact angle and terminal speed constraints is conducted to demonstrate the performance of the proposed guidance method for terminal velocity control. Robustness of the proposed method to drag variations is also investigated to check the feasibility of generalized polynomial guidance for a practical purpose.

中文翻译：

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战术弹道导弹末端速度控制的广义多项式制导

本文提出了用于控制终端速度矢量（速度和飞行路径角）的广义多项式制导，这对战术弹道导弹弹头的有效性至关重要。引入了满足初始和终端高度以及飞行路径角度的多项式参考轨迹，其中包含可以选择以改变终端速度的制导参数。然后推导了沿参考轨迹的速度的单个微分方程，并提出了确定制导参数以满足规定的终端速度的迭代搜索方法。进行了具有各种冲击角和终端速度约束的数值模拟研究，以证明所提出的终端速度控制制导方法的性能。