Implementation of Adaptive Sliding Mode Robust Control technique to Stabilization In-Wheel Motor Electric Vehicle in Emergency Condition
علوم کاربردی و محاسباتی در مکانیک
Article 7 , Volume 37, Issue 1 - Serial Number 39 , April 2025, Pages 107-128 PDF (1.69 M )
Document Type: Original Article
DOI: 10.22067/jacsm.2024.84743.1209
Authors
Mohammad amin Ghomashi* ; reza kazemi
Faculty of Mechanical Engineering, K.N.T University of Technology, Tehran, Iran.
Abstract
In this research, with the aim of stabilizing in-wheel motor electric vehicle, an adaptive sliding mode robust control strategy is developed based on the phase plane. The proposed control strategy includes three levels. The first level includes an adaptive sliding mode controller. In this research, changing the state of the system is done with the aim of solving the problem of chattering in the system and minimizing the response delay and tracking error. The second level includes a joint control algorithm, which is implemented based on the boundary model of the stable region of the vehicle uses the yaw rate to determine the rotational torque of the vehicle. And when the vehicle is outside the stable region, the adaptive sliding mode control algorithm uses the sideslip angle of the vehicle and the yaw rate to stabilize and return the vehicle to the stable region. The third level includes an optimal distribution function for allocating rotational torque to four vehicle tires. In order to consider the real behavior of the vehicle, the nonlinear dynamics of the tire is considered. The proposed control algorithm is analyzed and investigated in different scenarios with different working conditions and critical and emergency conditions. The results of the performed simulations show the optimal and effectiveness performance of the proposed control algorithm. Also, MATLAB/Carsim software is used to validate the performed simulations.
Keywords
Sliding Mode ; Stability ; Sliding Surface ; In-wheel Motor ; Vehicle Dynamic
References
[1] P. Hang, X. Chen, “Integrated chassis control algorithm design for path tracking based on four-wheel steering and direct yaw-moment control,” Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering , vol. 233, no. 6, pp. 625–641, 2019. https://doi.org/10.1177/0959651818806075
[2] D. Chindamo, B. Lenzo, M. Gadola, “On the Vehicle Sideslip Angle Estimation: A Literature Review of Methods, Models, and Innovations,” Applied Sciences , vol. 8, no. 3, p. 355, 2018. https://doi.org/10.3390/app8030355
[3] T. Chen, L. Chen, X. Xu, Y. Cai, H. Jiang, X. Sun, “Sideslip Angle Fusion Estimation Method of an Autonomous Electric Vehicle Based on Robust Cubature Kalman Filter with Redundant Measurement Information,” World Electric Vehicle Journal , vol. 10, no. 2, p. 34, 2019. https://doi.org/10.3390/wevj10020034
[4] T. Zhou, “Adaptive sliding control based on a new reaching law,” Control and Decision, vol. 31, no. 8, pp. 1335-1338, 2016. https://doi.org/10.1002/adts.202300736
[5] K. Berntorp, R. Quirynen, T. Uno, et al., “Trajectory tracking for autonomous vehicles on varying road surfaces by friction-adaptive nonlinear model predictive control,” Vehicle System Dynamics , vol. 58, no. 5, pp. 705-725, 2021. https://doi.org/10.1080/00423114.2019.1697456
[6] L. Zhai, R. Hou, T. Sun, and S. Kavuma, “Continuous steering stability control based on an energy-saving torque distribution algorithm for a four in-wheel-motor independent-drive electric vehicle,” Energies , vol. 11, no. 2, p. 350, 2018. https://doi.org/10.3390/en11020350
[7] K. Zhang, Q. Sun, and Y. Shi, “Trajectory tracking control of autonomous ground vehicles using adaptive learning MPC,” IEEE Transactions on Neural Networks and Learning Systems , vol. 32, no. 12, pp. 5554-5564, 2021. https://doi.org/10.1109/TNNLS.2020.3048305
[8] S. Zhang, X. Zhao, G. Zhu, et al., “Adaptive trajectory tracking control strategy of intelligent vehicle,” International Journal of Distributed Sensor Networks , vol. 16, no. 5, pp. 1-14, 2021. https://doi.org/10.1177/1550147720916988
[9] D. Soudbakhsh and A. Eskandarian, “Comparison of linear and nonlinear controllers for active steering of vehicles in evasive manoeuvres,” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 226, no. 2, pp. 215-232, 2012. https://doi.org/10.1177/0959651811414503
[10] Q. K. Hou, S. H. Ding, and X. H. Yu, “Composite super-twisting sliding mode control design for PMSM speed regulation problem based on a novel disturbance observer,” IEEE Transactions on Energy Conversion , vol. 36, no. 4, pp. 2591-2599, 2021. https://doi.org/10.1109/TEC.2020.2985054
[11] J. Zhang, H. Wang, M. Ma, M. Yu, and A. Yazdani, “Active front steering-based electronic stability control for steer-by-wire vehicles via terminal sliding mode and extreme learning machine,” IEEE Transactions on Vehicular Technology , vol. 69, no. 12, pp. 14713-14726, 2020. https://doi.org/10.1109/TVT.2020.3036400
[12] K. Mei, S. Ding, and W. X. Zheng, “Fuzzy adaptive SOSM based control of a type of nonlinear systems,” IEEE Transactions on Circuits and Systems II: Express Briefs , vol. 69, no. 3, pp. 1342-1346, 2022. https://doi.org/10.1109/TCSII.2021.3116812
[13] M. Rahman, M. Masrur, and M. N. Uddin, “Impacts of interior permanent magnet machine technology for electric vehicles,” In Proceedings of the 2012 IEEE International Electric Vehicle Conference , 2012, pp. 1-5. https://doi.org/10.1109/IEVC.2012.6183226
[14] M. A. Ghomashi and R. Kazemi, “Motion trajectory control and robust control based on nonlinear bicycle model to stabilization for in-wheel motor electric vehicle in emergency scenario,” Journal of Aerospace Mechanics, vol. 20, no. 1, pp. 109-124, 2024. https://dor.isc.ac/dor/20.1001.1.26455323.1403.20.1.7.9
[15] K. Hartani, A. Merah, and A. Draou, “Stability enhancement of four-in-wheel motor-driven electric vehicles using an electric differential system,” Journal of Power Electronics , vol. 15, no. 5, pp. 1244-1255, 2015. https://doi.org/10.6113/JPE.2015.15.5.1244
[16] M. Sekour, K. Hartani, and A. Merah, “Electric vehicle longitudinal stability control based on a new multi machine nonlinear model predictive direct torque control,” Journal of Advanced Transportation, vol. 2017, no.1, p. 4125384, 2017. https://doi.org/10.1155/2017/4125384
[17] E. Mousavinejad, Q.-L. Han, F. Yang, Y. Zhu, and L. Vlacic, “Integrated control of ground vehicles dynamics via advanced terminal sliding mode control,” Vehicle System Dynamics , vol. 55, no. 2, pp. 268-294, 2019. https://doi.org/10.1080/00423114.2016.1256489
[18] T. Ahmed, K. Hartani, and A. Allali, “New DTC strategy of multi machines single-inverter systems for electric vehicle traction applications,” International Journal of Power Electronics and Drive Systems , vol. 11, no. 2, pp. 641-650, 2020. http://doi.org/10.11591/ijpeds.v11.i2.pp641-650
[19] A. Cabrera, S. Gowal, and A. Martinoli, “A new collision warning system for lead vehicles in rear-end collisions,” IEEE Intelligent Vehicles Symposium (IV), 2014, pp. 1-6. https://doi.org/10.1109/IVS.2012.6232244
[20] H. K. Lee, S. G. Shin, and D. S. Kwon, “Design of emergency braking algorithm for pedestrian protection based on multi-sensor fusion,” International Journal of Automotive Technology, vol. 18, no. 6, pp. 1067-1076, 2017. https://doi.org/10.1007/s12239-017-0104-7
[21] M. A. Ghomashi, R. Kazemi, "Motion path following coordinated control for in-wheel motor electric vehicle via implementation robust control and optimal control," Journal of Modeling in Engineering, pp. 1-15, 2024. https://doi.org/10.22075/jme.2024.31752.2531
[22] A. Lopez, R. Sherony, S. Chien, L. Li, Y. Qiang, and Y. Chen, "Analysis of the braking behaviour in pedestrian automatic emergency braking," IEEE 18th International Conference on Intelligent Transportation Systems (ITSC) , 2015, pp. 1-6. https://doi.org/10.1109/ITSC.2015.185
[23] X. Wang, M. Zhu, M. Chen, and P. Tremont, "Drivers’ rear end collision avoidance behaviors under different levels of situational urgency," Transportation Research Part C: Emerging Technologies , vol. 71, pp. 419-433, 2017. https://doi.org/10.1016/j.trc.2016.08.014
[24] N. Guo, X. Zhang, Y. Zou, B. Lenzo, T. Zhang, and D. Göhlich, “A fast model predictive control allocation of distributed drive electric vehicles for tire slip energy saving with stability constraints,” Control Engineering Practice , vol. 102, no. 1, p. 104554, 2020. https://doi.org/10.1016/j.conengprac.2020.104554
[25] C. Hu, R. Wang, F. Yan, and M. Chadli, “Composite nonlinear feedback control for path following of four-wheel independently actuated autonomous ground vehicles,” IEEE Transactions on Intelligent Transportation Systems , vol. 17, no. 7, pp. 2063–2074, 2021. https://doi.org/10.1109/TITS.2015.2498172
[26] A. V. Mernone and J. N. Mazumdar, “A Mathematical Study of Peristaltic Transport of a Casson Fluid,” Mathematical and Computer Modelling , vol. 35, no. 7–8, pp. 895-912, 2014. https://doi.org/10.1016/S0895-7177(02)00058-4
[27] M. A. Ghomashi and R. Kazemi, “Implementation robust control technique to lateral stabilization for in-wheel motor electric vehicle,” Journal of Solid and Fluid Mechanics (JSFM) , vol. 14, no. 2, pp. 111-126, 2024. https://doi.org/10.22044/jsfm.2024.13967.3821
[28] Q. Xia, L. Chen, X. Xu, et al., “Coordination control method of autonomous ground electric vehicle for simultaneous trajectory tracking and yaw stability control,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 237, no. 5, pp. 941-957, 2022.
[29] C. Hu, R. Wang, F. Yan, et al., “Output constraint control on path following of four-wheel independently actuated autonomous ground vehicles,” IEEE Transactions on Vehicular Technology, vol. 65, no. 6, pp. 4033–4043, 2017. https://doi.org/10.1177/09544070221087485
[30] J. Funke, M. Brown, S. M. Erlien, and J. C. Gerdes, “Collision avoidance and stabilization for autonomous vehicles in emergency scenarios,” IEEE Transactions on Control Systems Technology, vol. 25, no. 4, pp. 1204–1216, 2016. https://doi.org/10.1109/TCST.2016.2599783
[31] H. Li, P. Li, L. Yang, et al., “Safety research on stabilization of autonomous vehicles based on improved-LQR control,” AIP Advances , vol. 12, no. 1, p. 015313, 2022. https://doi.org/10.1063/5.0078950
[32] Pacejka, H. Tire and Vehicle Dynamics; Elsevier: Amsterdam, Netherlands, 2005.
[33] Y. Liang, Y. Li, A. Khajepour, et al., “Holistic adaptive multi-model predictive control for the path following of 4WID autonomous vehicles,” IEEE Transactions on Vehicular Technology, vol. 70, no. 1, pp. 69–81, 2020. https://doi.org/10.1109/TVT.2020.3046052
[34] S. Ding, L. Liu, and W. X. Zheng, “Sliding mode direct yaw moment control design for in-wheel electric vehicles,” IEEE Transactions on Industrial Electronics, vol. 64, no. 8, pp. 6752–6762, 2020. https://doi.org/10.1109/TIE.2017.2682024
[35] C. Fu, R. Hoseinnezhad, A. Bab-Hadiashar, et al., “Direct yaw moment control for electric and hybrid vehicles with independent motors,” International Journal of Vehicle Design, vol. 69, no. 1–4, pp. 1–24, 2021. https://doi.org/10.1504/IJVD.2015.073111
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