汽车安全与节能学报 ›› 2025, Vol. 16 ›› Issue (1): 117-126.DOI: 10.3969/j.issn.1674-8484.2025.01.012
收稿日期:2024-09-03
修回日期:2024-10-11
出版日期:2025-02-28
发布日期:2025-03-04
作者简介:张立成(1987—),男(汉),江苏,高级工程师。E-mail:lichengzhang@chd.edu.cn。
基金资助:
ZHANG Licheng(
), YA Jingtian, PENG Kun, YANG Ran
Received:2024-09-03
Revised:2024-10-11
Online:2025-02-28
Published:2025-03-04
摘要:
为了研究精细驾驶行为对基于单个和混合神经网络的油耗模型预测性能的影响,选择车辆急动度(Jerk)作为神经网络训练输入的重要变量。采用长短期记忆网络(LSTM)、循环神经网络(RNN)、非线性自回归带外部输入模型(NARX)、广义回归神经网络(GRNN)、卷积神经网络(CNN)、门控循环单元(GRU)、多层感知机(MLP) 以及卷积神经-长短期记忆网络(CNN-LSTM)混合神经网络共 8 种典型神经网络模型,选取(速度,加速度)、(速度,加速度和Jerk)、(发动机转速)共 3 种输入参数组合,以及校园低速、城市中速和高速公路高速共3种速度工况,累计进行了 69 组实验。结果表明:相较其余 6 种单个神经网络模型,LSTM 模型在各输入组合和各速度工况下的预测性能最好;CNN-LSTM混合模型的预测性能略优于 LSTM 模型。引入车辆急动度(Jerk)后,各神经网络油耗预测模型在各速度工况的预测性能都得到显著提高,其中,单个模型中,RMSE 最高下降了43.2%(CNN网络,高速路况),RE 最高下降了68.2%(LSTM网络,城市路况),R2 最高提升了 41.8%(NARX网络,城市路况);混合模型中,RMSE 和 RE 分别最高下降了 34.9% 和 61.0%(城市路况)。
中图分类号:
张立成, 押境田, 彭琨, 杨冉. 车辆急动度对神经网络油耗预测性能影响研究[J]. 汽车安全与节能学报, 2025, 16(1): 117-126.
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.
| 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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