In this article, a nonlinear three-dimensional guidance strategy for multiple identical constant speed interceptors is proposed to capture a stationary target simultaneously. To design this proposed guidance strategy, a proportional navigation based time-to-go estimate, without any small angle assumption, is used. Based on the maximum value of time-to-go estimates of all interceptors, the range error for each interceptors is computed. Sufficiency conditions for simultaneous capture are satisfied by ensuring the range errors and their rates converge to zero for all interceptors. The proposed guidance strategy employs Lyapunov and sliding-mode control-based techniques to achieve these sufficiency conditions. Simulation studies demonstrate that this proposed strategy performs satisfactorily for various geometric engagements and in the presence of a first-order autopilot.

中文翻译：

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使用相对分离进行三维交战的协作目标捕获


本文提出了一种针对多个相同恒速拦截弹的非线性三维制导策略，以同时捕获静止目标。为了设计这种建议的制导策略，使用了基于比例导航的剩余时间估计，没有任何小角度假设。根据所有拦截器剩余飞行时间估计的最大值，计算每个拦截器的射程误差。通过确保所有拦截器的距离误差及其速率收敛到零，可以满足同时捕获的充分条件。所提出的制导策略采用李亚普诺夫和基于滑模控制的技术来实现这些充分条件。仿真研究表明，所提出的策略对于各种几何交战以及存在一阶自动驾驶仪的情况都表现令人满意。