Journal of Automotive Safety and Energy ›› 2025, Vol. 16 ›› Issue (1): 117-126.DOI: 10.3969/j.issn.1674-8484.2025.01.012
• Automotive Energy Efficiency and Environment Protection • Previous Articles Next Articles
ZHANG Licheng(
), YA Jingtian, PENG Kun, YANG Ran
Received:2024-09-03
Revised:2024-10-11
Online:2025-02-28
Published:2025-03-04
CLC Number:
ZHANG Licheng, YA Jingtian, PENG Kun, YANG Ran. Impact of Jerk on neural network based fuel consumption predicting models[J]. Journal of Automotive Safety and Energy, 2025, 16(1): 117-126.
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URL: https://www.journalase.com/EN/10.3969/j.issn.1674-8484.2025.01.012
| 输入 | 校园 | 城市 | 高速公路 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| v / (km·h-1) | a / (km·h-2) | Jerk / (km·h-3) | v / (km·h-1) | a / (km·h-2) | Jerk / (km·h-3) | v / (km·h-1) | a / (km·h-2) | Jerk / (km·h-3) | |||
| 平均值 | 15.48 | 0.04 | 0.67 | 30.76 | 1.52×10-4 | -0.01 | 53.26 | 0.01 | 0.01 | ||
| 最大值 | 33.28 | 3.41 | 4.49 | 82.72 | 2.83 | 6.44 | 119.49 | 4.94 | 8.14 | ||
| 最小值 | 0.01 | -2.22 | -4.29 | 0.00 | -3.10 | -5.31 | 0.00 | -1.82 | -2.99 | ||
| 方差 | 49.97 | 0.34 | 0.59 | 311.60 | 0.20 | 0.24 | 1.80×103 | 0.12 | 0.17 | ||
| 输入 | 校园 | 城市 | 高速公路 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| v / (km·h-1) | a / (km·h-2) | Jerk / (km·h-3) | v / (km·h-1) | a / (km·h-2) | Jerk / (km·h-3) | v / (km·h-1) | a / (km·h-2) | Jerk / (km·h-3) | |||
| 平均值 | 15.48 | 0.04 | 0.67 | 30.76 | 1.52×10-4 | -0.01 | 53.26 | 0.01 | 0.01 | ||
| 最大值 | 33.28 | 3.41 | 4.49 | 82.72 | 2.83 | 6.44 | 119.49 | 4.94 | 8.14 | ||
| 最小值 | 0.01 | -2.22 | -4.29 | 0.00 | -3.10 | -5.31 | 0.00 | -1.82 | -2.99 | ||
| 方差 | 49.97 | 0.34 | 0.59 | 311.60 | 0.20 | 0.24 | 1.80×103 | 0.12 | 0.17 | ||
| 类型 | ai | ai + 1 | ai与ai + 1 | Jerk | 语言描述 |
|---|---|---|---|---|---|
| type A | > 0 | > 0 | ai = ai + 1 | 0 | 匀加速 |
| type B | > 0 | > 0 | ai > ai + 1 | < 0 | 加速度减小的加速 |
| type C | > 0 | > 0 | ai < ai + 1 | > 0 | 加速度增大的加速 |
| type D | < 0 | < 0 | ai = ai + 1 | 0 | 匀减速 |
| type E | < 0 | < 0 | ai < ai + 1 | > 0 | 减速度增大的减速 |
| type F | < 0 | < 0 | ai > ai + 1 | < 0 | 减速度减小的减速 |
| type G | > 0 | < 0 | ai > ai + 1 | < 0 | 先加速后减速 |
| type H | < 0 | > 0 | ai < ai + 1 | > 0 | 先减速后加速 |
| type I | / | 0 | / | / | 匀速行为 |
| 类型 | ai | ai + 1 | ai与ai + 1 | Jerk | 语言描述 |
|---|---|---|---|---|---|
| type A | > 0 | > 0 | ai = ai + 1 | 0 | 匀加速 |
| type B | > 0 | > 0 | ai > ai + 1 | < 0 | 加速度减小的加速 |
| type C | > 0 | > 0 | ai < ai + 1 | > 0 | 加速度增大的加速 |
| type D | < 0 | < 0 | ai = ai + 1 | 0 | 匀减速 |
| type E | < 0 | < 0 | ai < ai + 1 | > 0 | 减速度增大的减速 |
| type F | < 0 | < 0 | ai > ai + 1 | < 0 | 减速度减小的减速 |
| type G | > 0 | < 0 | ai > ai + 1 | < 0 | 先加速后减速 |
| type H | < 0 | > 0 | ai < ai + 1 | > 0 | 先减速后加速 |
| type I | / | 0 | / | / | 匀速行为 |
| 模型 | 神经网络层 | 参数设置 |
|---|---|---|
| LSTM | Hidden Neurons | 60×180×60 |
| Dropout layers | 0.2×0.3×0.2 | |
| RNN | Hidden Neurons | 10 |
| NARX | Hidden Neurons | 10 |
| delays d | 2 | |
| GRNN | Hidden Neurons | 样本数量 |
| CNN | Convolution 2d Layer | 32 |
| GRU | Hidden Neurons | 60×180×60 |
| MLP | Hidden Neurons | 60×180×60 |
| 模型 | 神经网络层 | 参数设置 |
|---|---|---|
| LSTM | Hidden Neurons | 60×180×60 |
| Dropout layers | 0.2×0.3×0.2 | |
| RNN | Hidden Neurons | 10 |
| NARX | Hidden Neurons | 10 |
| delays d | 2 | |
| GRNN | Hidden Neurons | 样本数量 |
| CNN | Convolution 2d Layer | 32 |
| GRU | Hidden Neurons | 60×180×60 |
| MLP | Hidden Neurons | 60×180×60 |
| 参数 组合 | 模型 | 校园 | 城市 | 高速 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RMSE | RE | R2 | RMSE | RE | R2 | RMSE | RE | R2 | ||||
| 转速(n) | LSTM | 0.030 | 0.033 | 0.998 | 0.029 | 0.018 | 0.998 | 0.090 | 0.067 | 0.994 | ||
| RNN | 0.485 | 0.219 | 0.796 | 0.748 | 0.299 | 0.822 | 1.359 | 0.548 | 0.779 | |||
| NARX | 0.485 | 0.229 | 0.795 | 1.704 | 0.535 | 0.773 | 1.670 | 0.624 | 0.665 | |||
| GRNN | 0.521 | 0.247 | 0.765 | 0.884 | 0.425 | 0.820 | 1.679 | 0.613 | 0.740 | |||
| CNN | 0.485 | 0.397 | 0.709 | 0.820 | 0.599 | 0.815 | 0.994 | 0.583 | 0.801 | |||
| GRU | 0.265 | 0.179 | 0.914 | 0.263 | 0.174 | 0.975 | 0.277 | 0.158 | 0.980 | |||
| MLP | 0.423 | 0.295 | 0.856 | 0.637 | 0.449 | 0.891 | 0.755 | 0.453 | 0.905 | |||
| 速度 + 加速度 + Jerk | LSTM | 0.033 | 0.017 | 0.998 | 0.026 | 0.014 | 0.998 | 0.048 | 0.033 | 0.996 | ||
| RNN | 0.466 | 0.200 | 0.811 | 1.271 | 0.374 | 0.610 | 1.242 | 0.385 | 0.842 | |||
| NARX | 0.377 | 0.153 | 0.875 | 1.510 | 0.647 | 0.451 | 1.607 | 0.489 | 0.736 | |||
| GRNN | 0.545 | 0.234 | 0.743 | 1.528 | 0.506 | 0.463 | 1.543 | 0.483 | 0.781 | |||
| CNN | 0.439 | 0.307 | 0.743 | 0.873 | 0.633 | 0.824 | 1.153 | 0.563 | 0.807 | |||
| GRU | 0.288 | 0.204 | 0.889 | 0.294 | 0.209 | 0.980 | 0.285 | 0.137 | 0.992 | |||
| MLP | 0.408 | 0.303 | 0.778 | 0.749 | 0.523 | 0.870 | 0.867 | 0.427 | 0.830 | |||
| 速度 + 加速度 | LSTM | 0.040 | 0.024 | 0.997 | 0.044 | 0.044 | 0.991 | 0.056 | 0.046 | 0.991 | ||
| RNN | 0.512 | 0.225 | 0.771 | 1.448 | 0.457 | 0.517 | 1.450 | 0.450 | 0.806 | |||
| NARX | 0.574 | 0.267 | 0.712 | 1.688 | 0.686 | 0.318 | 1.840 | 0.640 | 0.688 | |||
| GRNN | 0.624 | 0.330 | 0.663 | 1.581 | 0.528 | 0.424 | 1.709 | 0.520 | 0.731 | |||
| CNN | 0.702 | 0.403 | 0.775 | 1.018 | 0.657 | 0.761 | 2.029 | 0.872 | 0.620 | |||
| GRU | 0.343 | 0.318 | 0.817 | 0.401 | 0.367 | 0.915 | 0.396 | 0.255 | 0.940 | |||
| MLP | 0.499 | 0.387 | 0.774 | 0.820 | 0.603 | 0.849 | 0.901 | 0.502 | 0.815 | |||
| 参数 组合 | 模型 | 校园 | 城市 | 高速 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RMSE | RE | R2 | RMSE | RE | R2 | RMSE | RE | R2 | ||||
| 转速(n) | LSTM | 0.030 | 0.033 | 0.998 | 0.029 | 0.018 | 0.998 | 0.090 | 0.067 | 0.994 | ||
| RNN | 0.485 | 0.219 | 0.796 | 0.748 | 0.299 | 0.822 | 1.359 | 0.548 | 0.779 | |||
| NARX | 0.485 | 0.229 | 0.795 | 1.704 | 0.535 | 0.773 | 1.670 | 0.624 | 0.665 | |||
| GRNN | 0.521 | 0.247 | 0.765 | 0.884 | 0.425 | 0.820 | 1.679 | 0.613 | 0.740 | |||
| CNN | 0.485 | 0.397 | 0.709 | 0.820 | 0.599 | 0.815 | 0.994 | 0.583 | 0.801 | |||
| GRU | 0.265 | 0.179 | 0.914 | 0.263 | 0.174 | 0.975 | 0.277 | 0.158 | 0.980 | |||
| MLP | 0.423 | 0.295 | 0.856 | 0.637 | 0.449 | 0.891 | 0.755 | 0.453 | 0.905 | |||
| 速度 + 加速度 + Jerk | LSTM | 0.033 | 0.017 | 0.998 | 0.026 | 0.014 | 0.998 | 0.048 | 0.033 | 0.996 | ||
| RNN | 0.466 | 0.200 | 0.811 | 1.271 | 0.374 | 0.610 | 1.242 | 0.385 | 0.842 | |||
| NARX | 0.377 | 0.153 | 0.875 | 1.510 | 0.647 | 0.451 | 1.607 | 0.489 | 0.736 | |||
| GRNN | 0.545 | 0.234 | 0.743 | 1.528 | 0.506 | 0.463 | 1.543 | 0.483 | 0.781 | |||
| CNN | 0.439 | 0.307 | 0.743 | 0.873 | 0.633 | 0.824 | 1.153 | 0.563 | 0.807 | |||
| GRU | 0.288 | 0.204 | 0.889 | 0.294 | 0.209 | 0.980 | 0.285 | 0.137 | 0.992 | |||
| MLP | 0.408 | 0.303 | 0.778 | 0.749 | 0.523 | 0.870 | 0.867 | 0.427 | 0.830 | |||
| 速度 + 加速度 | LSTM | 0.040 | 0.024 | 0.997 | 0.044 | 0.044 | 0.991 | 0.056 | 0.046 | 0.991 | ||
| RNN | 0.512 | 0.225 | 0.771 | 1.448 | 0.457 | 0.517 | 1.450 | 0.450 | 0.806 | |||
| NARX | 0.574 | 0.267 | 0.712 | 1.688 | 0.686 | 0.318 | 1.840 | 0.640 | 0.688 | |||
| GRNN | 0.624 | 0.330 | 0.663 | 1.581 | 0.528 | 0.424 | 1.709 | 0.520 | 0.731 | |||
| CNN | 0.702 | 0.403 | 0.775 | 1.018 | 0.657 | 0.761 | 2.029 | 0.872 | 0.620 | |||
| GRU | 0.343 | 0.318 | 0.817 | 0.401 | 0.367 | 0.915 | 0.396 | 0.255 | 0.940 | |||
| MLP | 0.499 | 0.387 | 0.774 | 0.820 | 0.603 | 0.849 | 0.901 | 0.502 | 0.815 | |||
| 模型 | 校园 | 城市 | 高速 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| RMSE / % | RE / % | R2 / % | RMSE / % | RE / % | R2 / % | RMSE / % | RE / % | R2 / % | |||
| LSTM | -17.5 | -29.2 | 0.1 | -40.9 | -68.2 | 0.7 | -14.3 | -28.3 | 9.7 | ||
| RNN | -8.9 | -11.0 | 5.2 | -12.2 | -18.0 | 18.0 | -14.3 | -14.4 | 4.5 | ||
| NARX | -34.3 | -43.0 | 22.9 | -10.5 | -5.7 | 41.8 | -12.7 | -23.6 | 7.0 | ||
| GRNN | -12.7 | -29.0 | 13.3 | -3.4 | -4.2 | 9.2 | -9.7 | -7.1 | 6.8 | ||
| CNN | -37.5 | -23.8 | 4.1 | -14.2 | -3.7 | 8.3 | -43.2 | -35.4 | 30.2 | ||
| GRU | -16 | -35.8 | 8.8 | -26.7 | -43.1 | 7.1 | -28 | -46.3 | 5.5 | ||
| MLP | -18.2 | -21.7 | 0.5 | -8.7 | 13.3 | 2.5 | -3.8 | -14.9 | 1.8 | ||
| 模型 | 校园 | 城市 | 高速 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| RMSE / % | RE / % | R2 / % | RMSE / % | RE / % | R2 / % | RMSE / % | RE / % | R2 / % | |||
| LSTM | -17.5 | -29.2 | 0.1 | -40.9 | -68.2 | 0.7 | -14.3 | -28.3 | 9.7 | ||
| RNN | -8.9 | -11.0 | 5.2 | -12.2 | -18.0 | 18.0 | -14.3 | -14.4 | 4.5 | ||
| NARX | -34.3 | -43.0 | 22.9 | -10.5 | -5.7 | 41.8 | -12.7 | -23.6 | 7.0 | ||
| GRNN | -12.7 | -29.0 | 13.3 | -3.4 | -4.2 | 9.2 | -9.7 | -7.1 | 6.8 | ||
| CNN | -37.5 | -23.8 | 4.1 | -14.2 | -3.7 | 8.3 | -43.2 | -35.4 | 30.2 | ||
| GRU | -16 | -35.8 | 8.8 | -26.7 | -43.1 | 7.1 | -28 | -46.3 | 5.5 | ||
| MLP | -18.2 | -21.7 | 0.5 | -8.7 | 13.3 | 2.5 | -3.8 | -14.9 | 1.8 | ||
| 参数组合 | 模型 | 校园 | 城市 | 高速 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RMSE | RE | R2 | RMSE | RE | R2 | RMSE | RE | R2 | ||||
| v + a | LSTM | 0.040 | 0.024 | 0.997 | 0.044 | 0.044 | 0.991 | 0.056 | 0.046 | 0.991 | ||
| CNN-LSTM | 0.036 | 0.021 | 0.997 | 0.043 | 0.041 | 0.996 | 0.049 | 0.042 | 0.998 | |||
| v + a + Jerk | LSTM | 0.033 | 0.017 | 0.998 | 0.026 | 0.014 | 0.998 | 0.048 | 0.033 | 0.996 | ||
| CNN-LSTM | 0.031 | 0.012 | 0.998 | 0.028 | 0.016 | 0.997 | 0.045 | 0.029 | 0.998 | |||
| 参数组合 | 模型 | 校园 | 城市 | 高速 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| RMSE | RE | R2 | RMSE | RE | R2 | RMSE | RE | R2 | ||||
| v + a | LSTM | 0.040 | 0.024 | 0.997 | 0.044 | 0.044 | 0.991 | 0.056 | 0.046 | 0.991 | ||
| CNN-LSTM | 0.036 | 0.021 | 0.997 | 0.043 | 0.041 | 0.996 | 0.049 | 0.042 | 0.998 | |||
| v + a + Jerk | LSTM | 0.033 | 0.017 | 0.998 | 0.026 | 0.014 | 0.998 | 0.048 | 0.033 | 0.996 | ||
| CNN-LSTM | 0.031 | 0.012 | 0.998 | 0.028 | 0.016 | 0.997 | 0.045 | 0.029 | 0.998 | |||
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