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Statistical prediction of aircraft trajectory : regression methods vs point-mass model

机译:飞机轨迹的统计预测:回归方法与点质量模型

摘要

Ground-based aircraft trajectory prediction is a critical issue for air traffic management. A safe and efficient prediction is a prerequisite for the implementation of automated tools that detect and solve conflicts between trajectories. Moreover, regarding the safety constraints, it could be more reasonable to predict intervals rather than precise aircraft positions . In this paper, a standard point-mass model and statistical regression method is used to predict the altitude of climbing aircraft. In addition to the standard linear regression model, two common non-linear regression methods, neural networks and Loess are used. A dataset is extracted from two months of radar and meteorological recordings, and several potential explanatory variables are computed for every sampled climb segment. A Principal Component Analysis allows us to reduce the dimensionality of the problems, using only a subset of principal components as input to the regression methods. The prediction models are scored by performing a 10-fold cross-validation. Statistical regression results method appears promising. The experiment part shows that the proposed regression models are much more efficient than the standard point-mass model. The prediction intervals obtained by our methods have the advantage of being more reliable and narrower than those found by point-mass model.
机译:地面飞机的航迹预测是空中交通管理的关键问题。安全有效的预测是实现检测和解决轨迹之间的冲突的自动化工具的先决条件。此外,关于安全约束,预测间隔可能比合理的飞机位置更为合理。在本文中,使用标准的点质量模型和统计回归方法来预测爬升飞机的高度。除了标准的线性回归模型外,还使用了两种常见的非线性回归方法:神经网络和黄土。从两个月的雷达和气象记录中提取了一个数据集,并为每个采样的爬升段计算了一些潜在的解释变量。主成分分析允许我们仅使用主成分的一部分作为回归方法的输入,从而减少问题的范围。通过执行10倍交叉验证对预测模型进行评分。统计回归结果方法似乎很有希望。实验部分表明,所提出的回归模型比标准点质量模型更有效。通过我们的方法获得的预测间隔比点质量模型发现的预测间隔更可靠,更窄。

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