Journal of Jilin University(Engineering and Technology Edition) ›› 2020, Vol. 50 ›› Issue (5): 1565-1573.doi: 10.13229/j.cnki.jdxbgxb20190630

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Trajectory tracking control based on tire force prediction and fitting

Ji-qing CHEN1,2(),Qing-sheng LAN1,2,Feng-chong LAN1,2(),Zhao-lin LIU1,2   

  1. 1.School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510640, China
    2.Guangdong Provincial Key Laboratory of Automotive Engineering, South China University of Technology, Guangzhou 510640, China
  • Received:2019-06-21 Online:2020-09-01 Published:2020-09-16
  • Contact: Feng-chong LAN E-mail:chjq@scut.edu.cn;fclan@scut.edu.cn

Abstract:

The complex interaction process between the tire and the ground determines that the inverse solution of the model does not exist adequately. It is impossible to directly solve the vehicle model, in which tire characteristics are considered, to obtain the desired control amount from the trajectory. To solve this problem, a trajectory tracking control strategy based on tire force prediction and fitting is proposed. According to the physical boundary, the trajectory tracking control is decomposed into two layers. The upper layer control uses a terminal sliding mode control algorithm. To realize the pre-judgment of the desired front wheel lateral force, the body dynamics is solved according to the target curvature. The lower layer control uses the system identification method. According to the feature point data, the desired steering angle is obtained by fitting the characteristics of the tire force through the spline function. A 12-DOF vehicle dynamics model with body and tire is established. According to the test value of sliding rate required to maintain different speeds, a semi-empirical sliding mode longitudinal control strategy is established to control the vehicle speed. A contrast algorithm is constructed with neural network algorithm. In the step curvature condition for testing stability and the multi-variable curvature condition for simulating continuous turning roads, the effectiveness and global robustness of the proposed algorithm are verified.

Key words: vehicle engineering, trajectory tracking, layered control, tire force prediction, characteristic fitting

CLC Number: 

  • U461.1

Fig.1

Coordinate system"

Fig.2

MF-Swift tire model parameters"

Fig.3

Tire force varied with sideslip angle and slip rate"

Fig.4

Lateral force of a single front wheel varied with sideslip angle and slip rate"

Fig.5

Maps and sampling grids under Autumn color system"

Fig.6

Sideslip angle of a single front wheel varied with lateral force and slip rate"

Fig.7

Curve of slip rate under speed change"

Fig.8

Speed tracking result"

Fig.9

Map of multi-variable curvature condition"

Fig.10

Tracking result of step curvature condition"

Table 1

Convergence accuracy of constant curvature interval control"

项目恒定曲率区间
1234
恒定曲率值0.0400.0450.0300.040
神经网络-0.0025-0.0053-0.0073-0.0025
特性拟合-0.00220.0040-0.0037-0.0022
改善程度/%12.024.549.312.0

Table 2

Control error fluctuation amplitude of curvature step point"

项目阶跃点
abcd
曲率阶跃量0.0400.005-0.0150.010
神经网络0.00710.00890.01300.0099
特性拟合0.00350.00310.00270.0020
改善程度/%50.964.978.679.9

Fig.11

Tracking result of multi-variable curvature condition"

Table 3

Control accuracy and speed of multi-variable curvature condition"

类别极值/m均值/m方差/m运行时长/s
神经网络0.02250.00430.003212.58
特性拟合0.00470.00220.001511.90
改善程度/%79.150.353.25.4
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