Singular Perturbation Analysis of Optimal Glide
Singular Perturbation Analysis of Optimal Glide
复制标题
最优滑翔的奇异扰动分析
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
J. Ben
中科院分区：
文献类型：
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作者：
Ilana Shapira;J. Ben
采用奇异摄动法以反馈形式确定最优滑翔轨迹。该问题由三个子问题组成。外部问题代表经典的准稳态滑动，而两个内部边界层决定了快速动态相位。时间尺度分离是基于速度和路径角大于高度和距离，路径角大于速度的假设。在这些假设下，导出了控制的反馈律，并将其解与精确解进行了比较。除了在近似解中出现的振荡外，两者之间的匹配相当好
The Singular Perturbation method is applied to determine the optimal glide trajectory in feedback form. The problem is composed of three sub-problems. The outer problem represents the classical quasi-steady-state glide, while the two inner boundary layers determine the fast dynamic phase. The timescale separation was based on the assumption that the velocity and path-angle are faster than the altitude and range, and also that the path-angle is faster than the velocity. Under these assumptions, a feedback law for the control is derived and the ensuing solution is compared to an exact one. The matching between the two is fairly good except for oscillations, which are present in the approximate solution