基于间隙度量的高超声速飞行器包线定量划分

针对高超声速飞行器飞行包线划分缺乏依据、传统划分方法繁琐等问题，将能够描述模型差异程度的间隙度量理论引入到包线划分过程中，提出了一种新型包线定量划分方法。详细阐述了基于间隙度量理论的线性系统间差异度的定量计算方法；以间隙度量值为量化指标，通过分析模型全包线特性变化规律，给出了确定区域划分边界的方法，并在此基础上给出了一种基于模型差异程度最小化的控制器设计标称点选择方法。结合某型高超声速飞行器进行了验证，结果表明该方法能够提高包线划分过程的自动化程度，分区和标称点选择合理，控制效果良好。

Flight envelope quantitative division of hypersonic vehicle based on gap metric

Considering that the existing flight envelope division methods of hypersonic vehicle were too subjective and complicated, a new division method was introduced based on the theory of gap metric. The theory of gap metric was introduced, and the computing method of gap between linear systems was given. Here the gap metric was taken as the quantitative index to analyze the extent of the model characteristics' variation to confirm the frontier of subrange. Based on the result obtained above, the way of choosing the nominal state point was proposed by analyzing the gap metric of all points within the subrange. With the living example of some hypersonic vehicles, the analysis of amplitude-frequency characteristics for nominal state point and the simulations of closed-loop control system prove that the result of envelope division is reasonable, which indicates the method proposed is effective and able to increase the level of automation of envelope division.