Acta Armamentarii ›› 2024, Vol. 45 ›› Issue (2): 373-384.doi: 10.12382/bgxb.2022.0750
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ZHANG Kun1,2,*(), DU Ruiyi1, SHI Haotian3, HUA Shuai1
Received:
2022-08-29
Online:
2024-02-29
Contact:
ZHANG Kun
CLC Number:
ZHANG Kun, DU Ruiyi, SHI Haotian, HUA Shuai. Prediction of Aircraft Trajectory Based on Mogrifier-BiGRU[J]. Acta Armamentarii, 2024, 45(2): 373-384.
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模型 | r | 平均准确率/% | 平均偏差率/% |
---|---|---|---|
0 | 86.24 | 13.81 | |
1 | 88.50 | 10.97 | |
2 | 86.18 | 14.96 | |
3 | 88.98 | 12.35 | |
4 | 86.61 | 14.92 | |
Mogrifier_BiGRU | 5 | 87.70 | 13.16 |
6 | 88.25 | 11.10 | |
7 | 87.95 | 13.04 | |
8 | 88.50 | 12.33 | |
9 | 86.95 | 12.25 | |
10 | 86.48 | 14.97 | |
20 | 83.64 | 13.98 | |
Multiplicative_BiGRU | 86.13 | 13.13 |
Table 1 Comparison table of network attributes
模型 | r | 平均准确率/% | 平均偏差率/% |
---|---|---|---|
0 | 86.24 | 13.81 | |
1 | 88.50 | 10.97 | |
2 | 86.18 | 14.96 | |
3 | 88.98 | 12.35 | |
4 | 86.61 | 14.92 | |
Mogrifier_BiGRU | 5 | 87.70 | 13.16 |
6 | 88.25 | 11.10 | |
7 | 87.95 | 13.04 | |
8 | 88.50 | 12.33 | |
9 | 86.95 | 12.25 | |
10 | 86.48 | 14.97 | |
20 | 83.64 | 13.98 | |
Multiplicative_BiGRU | 86.13 | 13.13 |
网络参数 | 取值 | 网络参数 | 取值 | |
---|---|---|---|---|
飞行器轨迹数据量 | 1000 | 训练回合 | 50000 | |
η | 0.8 | ε | 0.05 | |
采样时间间隔/s | 0.25 | GRU网络层数 | 3 | |
r | 1 | GRU网络隐藏节点数 | 256 |
Table 2 Summary table of network parameters
网络参数 | 取值 | 网络参数 | 取值 | |
---|---|---|---|---|
飞行器轨迹数据量 | 1000 | 训练回合 | 50000 | |
η | 0.8 | ε | 0.05 | |
采样时间间隔/s | 0.25 | GRU网络层数 | 3 | |
r | 1 | GRU网络隐藏节点数 | 256 |
网络 | 平均准确率/% | 平均偏差率/% |
---|---|---|
GRU | 26.50 | 20.19 |
BiGRU | 85.93 | 12.05 |
BiLSTM | 85.20 | 12.17 |
Multiplicative_BiGRU | 91.42 | 8.20 |
Mogrifier_BiGRU | 94.40 | 4.74 |
Table 3 Comparison of accuracy and deviation rate of aircraft trajectory prediction
网络 | 平均准确率/% | 平均偏差率/% |
---|---|---|
GRU | 26.50 | 20.19 |
BiGRU | 85.93 | 12.05 |
BiLSTM | 85.20 | 12.17 |
Multiplicative_BiGRU | 91.42 | 8.20 |
Mogrifier_BiGRU | 94.40 | 4.74 |
网络 | RMSE | MAE |
---|---|---|
GRU | 0.0160 | 0.0090 |
BiGRU | 0.0053 | 0.0033 |
BiLSTM | 0.0051 | 0.0031 |
Multiplicative_BiGRU | 0.0046 | 0.0025 |
Mogrifier_BiGRU | 0.0037 | 0.0022 |
Table 4 Comparison of experimental loss functions for prediction of aircraft trajectory
网络 | RMSE | MAE |
---|---|---|
GRU | 0.0160 | 0.0090 |
BiGRU | 0.0053 | 0.0033 |
BiLSTM | 0.0051 | 0.0031 |
Multiplicative_BiGRU | 0.0046 | 0.0025 |
Mogrifier_BiGRU | 0.0037 | 0.0022 |
网络 | 平均准确率/% | 平均偏差率/% |
---|---|---|
GRU | 15.17 | 21.85 |
BiGRU | 83.88 | 8.20 |
BiLSTM | 84.98 | 8.29 |
Multiplicative_BiGRU | 88.88 | 6.05 |
Mogrifier_BiGRU | 90.32 | 5.78 |
Table 5 Comparison of the results of trajectory and attitude prediction experiments A
网络 | 平均准确率/% | 平均偏差率/% |
---|---|---|
GRU | 15.17 | 21.85 |
BiGRU | 83.88 | 8.20 |
BiLSTM | 84.98 | 8.29 |
Multiplicative_BiGRU | 88.88 | 6.05 |
Mogrifier_BiGRU | 90.32 | 5.78 |
网络 | 平均准确率/% | 平均偏差率/% |
---|---|---|
GRU | 84.29 | 8.21 |
BiGRU | 90.93 | 6.60 |
BiLSTM | 91.88 | 5.42 |
Multiplicative_BiGRU | 94.71 | 2.99 |
Mogrifier_BiGRU | 96.26 | 3.85 |
Table 6 Comparison of the results of trajectory and attitude prediction experiments B
网络 | 平均准确率/% | 平均偏差率/% |
---|---|---|
GRU | 84.29 | 8.21 |
BiGRU | 90.93 | 6.60 |
BiLSTM | 91.88 | 5.42 |
Multiplicative_BiGRU | 94.71 | 2.99 |
Mogrifier_BiGRU | 96.26 | 3.85 |
仿真实验 | 训练时长/s | 预测时间/s |
---|---|---|
Mogrifier-BiGRU网络预测实验 | 1243.67 | 0.0097 |
飞行器轨迹与姿态预测实验A | 1288.23 | 0.0101 |
飞行器轨迹与姿态预测实验B | 2963.59 | 0.0242 |
Table 7 Network training and prediction schedule
仿真实验 | 训练时长/s | 预测时间/s |
---|---|---|
Mogrifier-BiGRU网络预测实验 | 1243.67 | 0.0097 |
飞行器轨迹与姿态预测实验A | 1288.23 | 0.0101 |
飞行器轨迹与姿态预测实验B | 2963.59 | 0.0242 |
实验 | 网络 | RMSE | MAE |
---|---|---|---|
GRU | 0.0208 | 0.0132 | |
BiGRU | 0.0067 | 0.0045 | |
实验A | BiLSTM | 0.0068 | 0.0041 |
Multiplicative_BiGRU | 0.0063 | 0.0043 | |
Mogrifier_BiGRU | 0.0061 | 0.0040 | |
GRU | 0.0131 | 0.0073 | |
BiGRU | 0.0035 | 0.0023 | |
实验B | BiLSTM | 0.0032 | 0.0021 |
Multiplicative_BiGRU | 0.0026 | 0.0015 | |
Mogrifier_BiGRU | 0.0019 | 0.0012 |
Table 8 Comparison of experimental loss functions for prediction of aircraft trajectory and attitude
实验 | 网络 | RMSE | MAE |
---|---|---|---|
GRU | 0.0208 | 0.0132 | |
BiGRU | 0.0067 | 0.0045 | |
实验A | BiLSTM | 0.0068 | 0.0041 |
Multiplicative_BiGRU | 0.0063 | 0.0043 | |
Mogrifier_BiGRU | 0.0061 | 0.0040 | |
GRU | 0.0131 | 0.0073 | |
BiGRU | 0.0035 | 0.0023 | |
实验B | BiLSTM | 0.0032 | 0.0021 |
Multiplicative_BiGRU | 0.0026 | 0.0015 | |
Mogrifier_BiGRU | 0.0019 | 0.0012 |
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