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本文讨论高空拦截的导引问题。出发点是要使拦截器的有限机动能力得到最有效利用,以保证所要求的拦截精度。我们解决问题的方法是利用予计脱靶量的概念,建立予计脱靶方程,把拦截导引问题转述为终点脱靶量控制问题。应用极小值原理于这个简化的等效问题。直接得出导引规律的解析表达式。这样做的好处是概念明确、数学处理简单。本文讨论了省力、快速两种导引规律在主动段拦截和被动段拦截情况下的导引公式。对文献中很少涉及的拦截时刻的确定进行了讨论,给出在特定条件下导引规律的实时计算公式。所得结果可用于无线电指令制导。稍加变换也可用于自动瞄准末制导。本文最后基于予计脱靶方程对导引规律特性进行了分析。其结果与数字计算结果一致。
This article discusses the guidance of altitude interception. The starting point is to make the limited maneuvering ability of the interceptor most effectively utilized to ensure the required interception accuracy. Our method to solve the problem is to use the concept of expected miss distance to establish the expected off-target equation, and the interceptor navigation problem is referred to as the end miss distance control problem. Apply the principle of minima to this simplified equivalence problem. Directly derive the guide law of the analytical expression. The benefits of doing so are clear concepts and simple mathematical processing. This article discusses the labor-saving and fast guidance rules for the guidance of active and passive intercepts. The paper discusses the determination of interception time which is seldom involved in the literature and gives the real-time calculation formula of guidance law under certain conditions. The results can be used for radio command guidance. A slight shift can also be used to automatically aim the final guidance. At the end of this paper, the guiding law characteristics are analyzed based on the expected off-target equation. The result is consistent with the numerical calculation.