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Short-time stability of proportional navigation guidance loop

机译：比例导航制导环的短时稳定性

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摘要

Stability characteristics of proportional navigation (PN) guidance are analyzed by using the short-time stability criterion which is extended here to accommodate time-varying state weights and time-varying bounds of the state norm. As short-time stability is defined over a specified time interval, its application to the stability analysis of a homing guidance loop that operates up to a finite time gives more accurate results than previous studies. Furthermore, within the framework of short-time stability, zero effort miss and acceleration command, which are the most important variables determining guidance performance, can be directly related with guidance loop stability. An application to a PN guidance loop with a 1st-order missile/autopilot time lag shows that the stability condition based on short-time stability is less conservative than the previous results based on hyperstability and Popov stability
机译：通过使用短时稳定性标准来分析比例导航（PN）制导的稳定性，该标准在此扩展以适应时变状态权重和状态范式的时变边界。由于在指定的时间间隔内定义了短时稳定性，因此将其应用于在有限时间内运行的寻的制导回路的稳定性分析中，其结果比以前的研究更为准确。此外，在短时稳定性的框架内，零引导缺失和加速指令是决定制导性能的最重要变量，可以直接与制导回路的稳定性相关。一阶导弹/自动驾驶仪时滞的PN导引环的应用表明，基于短时稳定性的稳定性条件不如先前基于超稳定性和Popov稳定性的结果保守

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