Journal of Jilin University(Engineering and Technology Edition) ›› 2024, Vol. 54 ›› Issue (1): 44-54.doi: 10.13229/j.cnki.jdxbgxb.20220224

Previous Articles     Next Articles

Stability control of with mechanical elastic electric wheeled vehicles based on extended state observer

You-qun ZHAO(),Tao LIN,Fen LIN,Huan SHEN   

  1. College of Energy and Power Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
  • Received:2022-03-07 Online:2024-01-30 Published:2024-03-28

Abstract:

For the stability control problem of vehicles with mechanical elastic electric wheels(MEEW), considering the uncertain perturbation of MEEW's and external interference during actual driving, a 2-DOF vehicle model with nonlinear interference term was established. The vehicle's stability control strategy was made of two parts. In the upper layer, a yaw rate sliding mode controller and a sideslip angle sliding mode controller based on extended state observer(ESO) were designed respectively. By using ESO, the nonlinear interference items were observed and compensated in real time. After dividing the stability area of the vehicle according to the β-β˙ phase plane, the above two controllers are switched. In the lower controller, the torque distribution was carried out based on the quadratic programming method. The simulation results show that the proposed control strategy can well control the stability of distributed driven electric vehicle which matchs MEEW.

Key words: extended state observer, mechanical elastic electric wheels, yaw stability control, nonlinear disturbance term, sliding mode control

CLC Number: 

  • U461.6

Fig.1

Structure of MEEW"

Fig.2

Fitting curves of longitudinal force and lateral force"

Table 1

Tire parameters identification results"

参数FZ /kN
101520
Bx3.713.874.44
Cx2.202.111.95
Dx6 719.2010 175.3213 352.04
Ex0.920.810.77
By11.009.137.93
Cy0.700.920.96
Dy9 857.2612 888.6817 057.95
Ey-1.30-1.00-0.75

Fig.3

Structure of control strategy"

Fig.4

Stability boundary division of control strategy"

Table 2

Vehicle parameters"

参数数值
车辆质量m/kg1270
转动惯量Iz /(kg·m21536.7
质心到前轴距离a/m1.015
质心到后轴距离b/m1.895
轮距c/m1.675
轮胎滚动半径R/m0.325
前轮等效刚度kf/(N·rad-1-126 050
后轮等效刚度kr/(N·rad-1-114 590

Fig.5

Curve of sideslip angle"

Fig.6

Curve of yaw rate"

Fig.7

Curve of four wheel torque"

Fig.8

Observation results of Δd2和 Δd3"

Fig.9

Observation results for yaw rate of ESO"

Fig.10

Observation results for sideslip angle of ESO"

Fig.11

Comparison results of solution time(Δd3)"

Fig.12

Comparison results of solution time(Δd2)"

1 Tang Xiao-lin, Hu Xiao-song, Yang Wei, et al. Novel torsional vibration modeling and assessment of a power-split hybrid electric vehicle equipped with a dual mass flywheel[J]. IEEE Transactions on Vehicular Technology, 2018, 67(3): 1990-2000.
2 Wang Jun-nian, Gao Shou-lin, Wang Kai, et al. Wheel torque distribution optimization of four-wheel independent-drive electric vehicle for energy efficient driving[J]. Control Engineering Practice, 2021, 110:No.104779.
3 Ji Xue-wu, He Xiang-kun, Lv Chen, et al. A vehicle stability control strategy with adaptive neural network sliding mode theory based on system uncertainty approximation[J]. Vehicle System Dynamics, 2018, 56(6): 923-946.
4 Parra A, Tavernini D, Gruber P, et al. On nonlinear model predictive control for energy-efficient torque-vectoring[J]. IEEE Transactions on Vehicular Technology, 2021, 70(1): 173-188.
5 谢伟东, 徐威, 付志军,等. 分布式驱动电动汽车的近似最优转矩矢量控制[J]. 汽车工程, 2018, 40(11): 1308-1316.
Xie Wei-dong, Xu Wei, Fu Zhi-jun, et al. Approximate optimal torque vectoring control for distributed drive electric vehicle[J]. Automotive Engineering, 2018, 40(11): 1308-1316.
6 赵又群, 李宇昊, 邓汇凡, 等. 基于Popov超稳定性的分布式电动汽车稳定性控制[J].吉林大学学报:工学版,2022,52(10):2225-2233.
Zhao You-qun, Li Yu-hao, Deng Hui-fan,et al. Stability control of distributed electric vehicle based on Popov hyperstability[J]. Journal of Jilin University(Engineering and Technology Edition), 2022,52(10):2225-2233.
7 Zhao You-qun, Zang Li-guo, Chen Yue-qiao, et al. Non-pneumatic mechanical elastic wheel natural dynamic characteristics and influencing factors[J]. Journal of Central South University, 2015, 22(5): 1707-1715.
8 Deng Yao-ji, Zhao You-qun, Xu Han, et al. Finite element modeling of interaction between non-pneumatic mechanical elastic wheel and soil[J]. Journal of Automobile Engineering, 2019, 233(13): 3293-3304.
9 Du Xian-bin, Zhao You-qun, Lin Fen, et al. Numerical and experimental investigation on the camber performance of a non-pneumatic mechanical elastic wheel[J]. Journal of the Brazilian Society of Mechanical Sciences & Engineering, 2017, 39(9): 3315-3327.
10 赵又群. 非充气机械弹性安全车轮理论与方法[M]. 北京: 科学出版社,2020.
11 Xu Han, Zhao You-qun, Ye Chao, et al. Integrated optimization for mechanical elastic wheel and suspension based on an improved artificial fish swarm algorithm[J]. Advances in Engineering Software, 2019,137:No.102722.
12 Wang Qiu-wei, Zhao You-qun, Xu Han, et al. Adaptive backstepping control with grey signal predictor for nonlinear active suspension system matching mechanical elastic wheel[J]. Mechanical Systems and Signal Processing, 2019, 131:97-111.
13 李海青, 赵又群. 匹配机械弹性车轮的汽车稳定性分析[J]. 哈尔滨工业大学学报, 2019, 51(1): 71-79.
Li Hai-qing, Zhao You-qun. Stability of vehicles with mechanical elastic wheel[J]. Journal of Harbin Institute of Technology, 2019, 51(1): 71-79.
14 郑鑫, 赵又群, 王秋伟, 等. 匹配机械弹性车轮的电子稳定控制器参数分析[J]. 中国机械工程, 2020, 31(23): 2883-2890.
Zheng Xin, Zhao You-qun, Wang Qiu-wei, et al. Parameter analysis of electronic stability controller matching mechanical elastic wheels[J]. China Mechanical Engineering, 2020, 31(23): 2883-2890.
15 Deng Hui-fan, Zhao You-qun, Feng Shi-lin, et al. Torque vectoring algorithm based on mechanical elastic electric wheels with consideration of the stability and economy[J]. Energy, 2021, 219:No.119643.
16 Pacejka H. Tire and Vehicle Dynamics[M].New York: Elsevier,2005.
17 张荣芸, 黄鹤, 陈无畏, 等. 基于功能分配与多目标模糊决策的EPS和ESP协调控制[J]. 机械工程学报, 2014, 50(6): 99-106.
Zhang Rong-yun, Huang He, Chen Wu-wei, et al. Coordinated control of EPS and ESP based on function allocation and multi-objective fuzzy decision[J]. Journal of Mechanical Engineering, 2014, 50(6): 99-106.
18 Shibahata Y, Shimada K, Tomari T. Improvement of vehicle maneuverability by direct yaw moment control[J]. Vehicle System Dynamics, 1993, 22(5/6):465-481.
19 韩京清. 从PID技术到“自抗扰控制”技术[J]. 控制工程, 2002, 9(3): 13-18.
Han Jing-qing. From PID technique to active disturbances rejection control technique[J]. Control Engineering of China, 2002, 9(3): 13-18.
20 Guo Bao-zhu, Zhao Zhi-liang. On the convergence of an extended state observer for nonlinear systems with uncertainty[J]. Systems and Control Letters, 2011, 60(6): 420-430.
21 Khoo S, Xie L. Integral terminal sliding mode cooperative control of multi-robot networks[C]∥IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Singapore, 2009: 969-973.
22 王德平, 郭孔辉, 宗长富. 车辆动力学稳定性控制的仿真研究[J]. 汽车技术, 1999(2): 8-10.
Wang De-ping, Guo Kong-hui, Zong Chang-fu. The simulation study of vehicle dynamic stability control[J]. Automobile Technology, 1999(2): 8-10.
23 王文伟, 赵一凡, 张伟,等. 多轴轮边驱动铰接客车的横摆稳定性控制策略[J]. 机械工程学报, 2020, 56(14): 161-172.
Wang Wen-wei, Zhao Yi-fan, Zhang Wei, et al. Yaw stability control strategy of multi-wheel independent electric articulated bus[J]. Journal of Mechanical Engineering, 2020, 56(14): 161-172.
24 Nocedal J, Wright S. Numerical Optimization[M]. Berlin: Springer, 2006.
25 Peng Hao-nan, Wang Wei-da, Xiang Chang-le, et al. Torque coordinated control of four in-wheel motor independent-drive vehicles with consideration of the safety and economy[J]. IEEE Transactions on Vehicular Technology, 2019, 68(10): 9604-9618.
[1] Yan-min WANG,Wei-qi ZHANG,Guang-xin DUAN,Yang GE. Continuous non-singular terminal sliding mode control of electronic throttle [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(7): 2127-2135.
[2] Ya-jing YU,Jian GUO,Rong-hao WANG,Wei QIN,Ming-wu SONG,Zheng-rong XIANG. Time⁃varying formation control of multiquadrotor unmanned aerial vehicles based on state observer [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(3): 871-882.
[3] Long-long CHEN,Tian-yu FENG,Zong-yang LYU,Yu-hu WU. Finite⁃time sliding mode attitude control for coaxial tilt⁃rotor unmanned aerial vehicle [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(3): 883-890.
[4] Shou-rui WANG,Wu-yin JIN,Zhi-yuan RUI,Xia ZHANG. Payload swing control for 3D overhead crane based on fast nonsingular terminal sliding mode [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(12): 3508-3517.
[5] Bing CHEN,Kai-xuan MA,Yang LIU,Jiang REN,Chen-xi ZHANG,Tao-shuo ZHAO. Straight driving stability hierarchical control for dual-motor driving electric tracked vehicle [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(10): 2752-2760.
[6] Guang-di HU,Hao JING,Cheng LI,Biao FENG,Xiao-dong LIU. Multi⁃objective sliding mode control based on high⁃order fuel cell model [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(9): 2182-2191.
[7] Chong ZHANG,Yun-feng HU,Xun GONG,Yao SUN. Design of model⁃free adaptive sliding mode controller for cathode flow of fuel cell [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(9): 2085-2095.
[8] Jun-cheng WANG,Lin-feng LYU,Jian-min LI,Jie-yu REN. Optimal sliding mode ABS control for electro⁃hydraulic composite braking of distributed driven electric vehicle [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(8): 1751-1758.
[9] Zhi-jun YANG,Zhong-yi GAO,Li-jun WANG,Guan-xin HUANG,Yu-tai WEI. Model predictive control algorithm for rigid⁃flexible coupling positioning stage [J]. Journal of Jilin University(Engineering and Technology Edition), 2022, 52(12): 2806-2815.
[10] Dong-hui WEI,Ai-ting WANG,Jing-hong JI,Jun-long FANG. Adaptive fuzzy fractional⁃order sliding mode precise motion control of permanent magnet linear synchronous motor [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(6): 2295-2303.
[11] Jiang-qi LONG,Jin-tao XIANG,Ping YU,Jun-cheng WANG. Linear disturbance observer suitable for sliding mode control of nonlinear active suspension [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(4): 1230-1240.
[12] Jia-xu ZHANG,Xin-zhi WANG,Jian ZHAO,Zheng-tang SHI. Path planning and discrete sliding mode tracking control for high⁃speed lane changing collision avoidance of vehicle [J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(3): 1081-1090.
[13] Jing LI,Qiu-jun SHI,Liang HONG,Peng LIU. Commercial vehicle ESC neural network sliding mode control based on vehicle state estimation [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(5): 1545-1555.
[14] Ai-guo WU,Jun-qing HAN,Na DONG. Adaptive sliding mode control based on ultra⁃local model for robotic manipulator [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(5): 1905-1912.
[15] Wei WANG,Jian-ting ZHAO,Kuan-rong HU,Yong-cang GUO. Trajectory tracking of robotic manipulators based on fast nonsingular terminal sliding mode [J]. Journal of Jilin University(Engineering and Technology Edition), 2020, 50(2): 464-471.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!