Miss distance is a critical parameter of assessing the performance for highly maneuvering targets interception ( HMTI ) . In a realistic terminal guidance system, the control of pursuer μ depends on the estimate of unknown state, thus the miss distance becomes a random variable with a prior unknown distribution. Currently, such a distribution is mainly evaluated by the method of Monte Carlo simulation. In this paper, by integrating the estimation error model of zero-effort miss distance ( ZEM ) obtained by our previous work, an analytic method for solving the distribution of miss distance is proposed, in which the system is presumed to use a bang-bang control strategy. By comparing with the results of Monte Carlo simulations under four different types of disturbances ( maneuvers ) , the correctness of the proposed method is validated. Results of this paper provide a powerful tool for the design, analysis and performance evaluation of guidance system.

中文翻译：

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追逃问题的未命中距离分布

脱靶距离是评估高机动目标拦截（HMTI）性能的关键参数。在现实的终端制导系统中，对追踪器μ的控制取决于未知状态的估计，因此，错过距离成为具有先前未知分布的随机变量。目前，这种分布主要是通过蒙特卡罗模拟的方法来评估的。本文通过整合我们先前工作获得的零努力错过距离（ZEM）的估计误差模型，提出了一种解决错过距离分布的解析方法，其中该系统假定使用爆炸控制策略。通过与四种不同类型干扰（机动）下的蒙特卡罗模拟结果进行比较，验证了该方法的正确性。