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浙江大学学报(工学版)  2026, Vol. 60 Issue (5): 1059-1070    DOI: 10.3785/j.issn.1008-973X.2026.05.015
机械工程     
主动前轮转向与防抱死制动系统的协调控制
李晓龙1,2(),黄鹤1,2,田闯1,2,李惟1,*(),杨澜3,王会峰1,高涛3
1. 长安大学 电子与控制工程学院,陕西 西安 710064
2. 西安市智慧高速公路信息融合与控制重点实验室,陕西 西安 710064
3. 长安大学 信息工程学院,陕西 西安 710064
Coordinated control of active front wheel steering and anti-lock braking system
Xiaolong LI1,2(),He HUANG1,2,Chuang TIAN1,2,Wei LI1,*(),Lan YANG3,Huifeng WANG1,Tao GAO3
1. School of Electronics and Control Engineering, Chang’an University, Xi’an 710064, China
2. Key Laboratory of Intelligent Expressway Information Fusion and Control, Xi’an 710064, China
3. School of Information Engineering, Chang’an University, Xi’an 710064, China
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摘要:

当前车辆防抱死制动系统(ABS)主要作用于汽车的纵向控制,车辆在复杂工况制动过程中会出现车身横向偏移的问题,为此提出基于改进天鹰优化算法优化的模糊顶层控制器,实现ABS与主动前轮转向系统(AFS)的协调控制. 建立二自由度及七自由度车辆动力学模型,分析车辆运动特性. 提出改进的天鹰优化算法,设计动态反向学习策略和基于停滞检测的扰动机制,增强全局寻优能力,优化模糊控制器的量化因子与比例因子. 提出基于模糊控制的顶层控制器,对下层ABS和AFS的控制权重进行合理分配,确保ABS和AFS的控制协调性. 利用改进天鹰优化算法对模糊顶层控制器进行优化,使得控制系统根据车辆不同转角及不同路况自动调节控制器的量化因子与比例因子,增强控制器的自适应学习能力. 仿真验证结果表明:相较于传统ABS控制、基础模糊控制及天鹰优化算法优化控制,所提方法使横摆角速度峰值最高降低88.61%,质心侧偏角峰值最高减少69.69%,显著提升了车辆的横向稳定性与制动效率.

关键词: 防抱死制动系统(ABS)天鹰优化算法协调控制主动前轮转向参数整定质心侧偏角    
Abstract:

Aiming at the problem that the current vehicle anti-lock braking system (ABS) mainly acts on the longitudinal control of the vehicle, which causes the lateral offset of the vehicle body during the braking process under complex working conditions, a fuzzy top-level controller optimized by the improved Aquila optimization algorithm was proposed to realize the coordinated control between ABS and active front wheel steering system (AFS). Firstly, the two-degree-of-freedom and seven-degree-of-freedom vehicle dynamics models were established to analyze the vehicle motion characteristics. Secondly, an improved Aquila optimization algorithm was proposed. The dynamic reverse learning strategy and the disturbance mechanism based on stagnation detection were designed to enhance the global optimization ability. Based on this, the quantization factor and scale factor of the fuzzy controller were optimized. At the same time, a top-level controller based on fuzzy control was proposed to reasonably allocate the control rights of the lower ABS and AFS to ensure the control coordination of ABS and AFS. Finally, the improved Aquila optimization algorithm was used to optimize the fuzzy top-level controller, enabling the control system to automatically adjust the quantization factor and scale factor according to different angles of the vehicle and different road conditions, thereby enhancing the controller’s adaptive learning ability. The simulation results show that compared with the traditional ABS control, basic fuzzy control and Aquila optimization algorithm for optimizing control, the proposed method reduces the peak value of yaw rate by 88.61% and the peak value of sideslip angle by 69.69%, which significantly improves the lateral stability and braking efficiency of the vehicle.

Key words: anti-lock braking system (ABS)    Aquila optimization algorithm    coordinated control    active front wheel steering    parameter tuning    sideslip angle
收稿日期: 2025-06-20 出版日期: 2026-05-06
CLC:  TP 301.6  
基金资助: 国家自然科学基金资助项目(52472446);中央高校基本科研业务费资助项目(300102326501);陕西省留学人员科技活动择优资助项目(2023001).
通讯作者: 李惟     E-mail: lixiaolong0424@126.com;1160755608@qq.com
作者简介: 李晓龙(2002—),男,硕士生,从事汽车系统动力学仿真与控制研究. orcid.org/0009-0006-4071-7411. E-mail:lixiaolong0424@126.com
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引用本文:

李晓龙,黄鹤,田闯,李惟,杨澜,王会峰,高涛. 主动前轮转向与防抱死制动系统的协调控制[J]. 浙江大学学报(工学版), 2026, 60(5): 1059-1070.

Xiaolong LI,He HUANG,Chuang TIAN,Wei LI,Lan YANG,Huifeng WANG,Tao GAO. Coordinated control of active front wheel steering and anti-lock braking system. Journal of ZheJiang University (Engineering Science), 2026, 60(5): 1059-1070.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2026.05.015        https://www.zjujournals.com/eng/CN/Y2026/V60/I5/1059

图 1  二自由度车辆模型
图 2  七自由度车辆模型
图 3  协调控制算法的系统结构
图 4  协调控制算法的流程图
图 5  模糊PID控制器输入输出的隶属度函数
e$ {k}_{\text{p}},{k}_{\text{i}},{k}_{\text{d}} $
$ {e}^{\prime} $=NB$ {e}^{\prime} $=NM$ {e}^{\prime} $=NS$ {e}^{\prime} $=ZE$ {e}^{\prime} $=PS$ {e}^{\prime} $=PM$ {e}^{\prime} $=PB
NBB,Z,SB,Z,MB,Z,BB,Z,BZ,Z,MZ,Z,MZ,Z,S
NMB,S,MM,S,MM,Z,BS,Z,BZ,S,MZ,S,MZ,S,M
NSM,M,ZM,B,SS,M,SZ,B,SS,M,SS,M,SS,M,Z
ZEM,B,ZS,B,ZZ,B,SZ,B,ZS,B,ZS,B,ZM,B,Z
PSS,M,ZS,B,SS,M,SZ,B,SM,M,SM,M,SM,M,Z
PMS,S,MZ,S,MS,Z,BS,Z,BM,S,MM,S,MB,S,M
PBZ,Z,SZ,Z,MB,Z,BB,Z,BB,Z,MB,Z,MB,Z,S
表 1  模糊PID控制器的模糊控制规则表
图 6  防抱死制动系统的制动过程仿真曲线
图 7  不同工况下的方向盘转角
图 8  不同天鹰优化算法在4种测试函数上的收敛曲线对比
图 9  顶层控制器的隶属度函数
eβQA
$ {{{e}^{\prime}}}_{\text{β}} $=a1$ {{{e}^{\prime}}}_{\text{β}} $=a2$ {{{e}^{\prime}}}_{\text{β}} $=a3$ {{{e}^{\prime}}}_{\text{β}} $=z$ {{{e}^{\prime}}}_{\text{β}} $=b1$ {{{e}^{\prime}}}_{\text{β}} $=b2$ {{{e}^{\prime}}}_{\text{β}} $=b3
a1PBPBPSZPSPBPB
a2PBPMZNSZPMPB
a3PSZNMNBNSZPS
zZNSNBNBNBNSZ
b1PSZNSNBNMZPS
b2PBPMZNSZPMPB
b3PBPBPSZPSPBPB
表 2  顶层控制器模糊控制规则表
图 10  改进天鹰优化算法优化的顶层控制器结构
图 11  不同控制器在阶跃工况下的控制性能参数对比
图 12  不同控制器在正弦工况下的控制性能参数对比
图 13  不同控制器在对开路面下的控制性能参数对比
控制器名称阶跃工况正弦工况对开路面
γmax/(rad·s?1)βmax/radx0/mt/sγmax/(rad·s?1)βmax/radx0/mt/sγmax/(rad·s?1)βmax/radx0/mt/s
RLSPAO-顶层控制器0.01590.030445.13323.7610.01850.026944.63783.7560.09730.114484.06896.948
AO-顶层控制器0.03080.031945.60463.7810.03040.033645.12813.7980.10620.119284.40086.973
顶层控制器0.04740.036446.62523.8660.04710.077245.98763.8700.13160.132485.75917.098
电液复合ABS控制0.13960.100347.94003.9330.12470.092446.92123.9170.20940.174586.65077.127
表 3  不同控制器在3种工况下的仿真数据
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