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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.
Aiming at the problems such as the lack of basis for the flight envelope of the hypersonic vehicle and the cumbersome traditional method of division, the paper introduces the gap metric theory that can describe the degree of model difference into the envelope division process, and proposes a new method for quantitative division of the envelope. Based on the theory of gap metric, a method for quantitatively calculating the degree of difference between linear systems is proposed. The method of determining the boundaries between regions is proposed by analyzing the variation regularity of all-envelopes of the model with the measure of gap as a quantitative index. On the basis of this, A method for selecting nominal points of controller design based on minimizing the degree of model difference is presented.According to a hypersonic vehicle, the results show that this method can improve the degree of automation of the process of dividing the envelope and the choice of zoning and nominal points , The control effect is good.