汽车安全与节能学报 ›› 2023, Vol. 14 ›› Issue (5): 580-590.DOI: 10.3969/j.issn.1674-8484.2023.05.007
段京良1(
), 陈良发1, 王文轩2, 焦春绚1, 刘征宇2, 马飞1, 李升波2,*(
)
收稿日期:2023-03-20
修回日期:2023-07-13
出版日期:2023-10-31
发布日期:2023-10-30
通讯作者:
*李升波,教授。E-mail:lishbo@tsinghua.edu.cn。
作者简介:段京良(1992—),男(汉),山东,副教授。E-mail:duanjl@ustb.edu.cn。
基金资助:
DUAN Jingliang1(
), CHEN Liangfa1, WANG Wenxuan2, JIAO Chunxuan1, LIU Zhengyu2, MA Fei1, LI Shengbo2,*(
)
Received:2023-03-20
Revised:2023-07-13
Online:2023-10-31
Published:2023-10-30
摘要:
为满足复杂交通场景下智能汽车轨迹跟踪避撞控制的高实时性要求,该文采用了一种循环模型预测控制算法(RMPC)将在线优化问题转化为循环策略参数的离线求解,并进行了仿真试验。根据车辆主动避撞的约束条件,引入惩罚函数将约束型主动避撞优化控制问题转化为无约束有限时域最优控制问题;进而利用循环函数逼近得到不同预测步长控制问题的最优解;最后将算法部署到原型控制器,结合CarSim平台验证了算法的避撞性能以及在线计算的高效性。结果表明:预测步数从12增加到20步,避撞过程最小车距由0.34 m提升至1.38 m,千次实验碰撞次数由44下降到0;与常用在线优化求解器相比,该算法在预测步数为15时,其计算效率提升超过5.6倍。
中图分类号:
段京良, 陈良发, 王文轩, 焦春绚, 刘征宇, 马飞, 李升波. 智能汽车主动避撞工况的高实时预测控制[J]. 汽车安全与节能学报, 2023, 14(5): 580-590.
DUAN Jingliang, CHEN Liangfa, WANG Wenxuan, JIAO Chunxuan, LIU Zhengyu, MA Fei, LI Shengbo. High real-time predictive control for active collision avoidance of intelligent vehicles[J]. Journal of Automotive Safety and Energy, 2023, 14(5): 580-590.
| 给定合适的学习率αθ,误差上限∈,初始参数θ0. Repeat: 随机选取x0, r1:Nmax∈X. 根据式(30)计算梯度 根据式(33)更新参数 |
|---|
| Until |
| 给定合适的学习率αθ,误差上限∈,初始参数θ0. Repeat: 随机选取x0, r1:Nmax∈X. 根据式(30)计算梯度 根据式(33)更新参数 |
|---|
| Until |
| 车辆质量,m | 1.5 t |
|---|---|
| 质心距前轴的距离, a | 1.14 m |
| 质心距后轴的距离, b | 1.40 m |
| 前轮侧偏刚度, Cf | -88 kN / rad |
| 后轮侧偏刚度, Cr | -94 kN / rad |
| 横摆惯性力矩, Izz | 2 420 kg / m2 |
| 路面附着系数,μ | 0.9 |
| 前轮侧偏力最大值, Ff, max | 5.937 kN |
| 后轮侧偏力最大值, Fr max | 7.297 kN |
| 质心距地面高度, h | 0.52 m |
| 纵向加速度,ax | -5 m / s2 |
| 车辆质量,m | 1.5 t |
|---|---|
| 质心距前轴的距离, a | 1.14 m |
| 质心距后轴的距离, b | 1.40 m |
| 前轮侧偏刚度, Cf | -88 kN / rad |
| 后轮侧偏刚度, Cr | -94 kN / rad |
| 横摆惯性力矩, Izz | 2 420 kg / m2 |
| 路面附着系数,μ | 0.9 |
| 前轮侧偏力最大值, Ff, max | 5.937 kN |
| 后轮侧偏力最大值, Fr max | 7.297 kN |
| 质心距地面高度, h | 0.52 m |
| 纵向加速度,ax | -5 m / s2 |
| 车车碰撞惩罚系数,I1 | 1 800 |
|---|---|
| 车路碰撞惩罚系数,I2 | 80 |
| 前轮侧偏角惩罚系数,I2 | 1 000 |
| 后轮侧偏角惩罚系数,I4 | 1 000 |
| 横摆角速度惩罚系数,I5 | 1 000 |
| 跟踪误差惩罚系数,Q | 1 |
| 控制输入惩罚系数,R | 1 |
| 车路碰撞松弛因子,ρ2 | 1.50 |
| 前轮侧偏角松弛因子,ρ3 | 1.25 |
| 后轮侧偏角松弛因子,ρ4 | 1.25 |
| 横摆角速度松弛因子,ρ5 | 1.25 |
| 最大前轮转角,umax / rad | 0.15 |
| 最小前轮转角,umin / rad | -0.15 |
| 控制频率,fs / Hz | 10 |
| 车车碰撞惩罚系数,I1 | 1 800 |
|---|---|
| 车路碰撞惩罚系数,I2 | 80 |
| 前轮侧偏角惩罚系数,I2 | 1 000 |
| 后轮侧偏角惩罚系数,I4 | 1 000 |
| 横摆角速度惩罚系数,I5 | 1 000 |
| 跟踪误差惩罚系数,Q | 1 |
| 控制输入惩罚系数,R | 1 |
| 车路碰撞松弛因子,ρ2 | 1.50 |
| 前轮侧偏角松弛因子,ρ3 | 1.25 |
| 后轮侧偏角松弛因子,ρ4 | 1.25 |
| 横摆角速度松弛因子,ρ5 | 1.25 |
| 最大前轮转角,umax / rad | 0.15 |
| 最小前轮转角,umin / rad | -0.15 |
| 控制频率,fs / Hz | 10 |
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