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IEEE/CAA Journal of Automatica Sinica

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F. Tarhini, R. Talj, and M. Doumiati, “On analytical modeling for fast multi-objective torque allocation in over-actuated IWM vehicles,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2025.125261
Citation: F. Tarhini, R. Talj, and M. Doumiati, “On analytical modeling for fast multi-objective torque allocation in over-actuated IWM vehicles,” IEEE/CAA J. Autom. Sinica, 2025. doi: 10.1109/JAS.2025.125261

On Analytical Modeling for Fast Multi-Objective Torque Allocation in Over-Actuated IWM Vehicles

doi: 10.1109/JAS.2025.125261
Funds:  This work is carried out within the framework of the V3EA project “Electric, Energy Efficient, and Autonomous Vehicle” (2021-2025), funded by the Research National Agency (ANR) of the French government
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  • Efficient torque allocation in over-actuated vehicles poses a central challenge in the domain of advanced vehicle control. These vehicles, featuring redundant actuators, provide an exceptional avenue for enhancing performance, stability, and efficiency. This paper presents a pioneering tendency for torque allocation in the context of over-actuated vehicles, particularly in-wheel motor (IWM) driven electric vehicles. We introduce a systematic methodology grounded in analytical modeling, allowing for the efficient reconciliation of multiple, often conflicting objectives. The explicit functions are analytically modeled to enhance stability and energy economy. Additionally, a fuzzy logic-based torque allocation strategy is developed and compared, along with other literature methods, with the analytical models. Simulations are conducted in a joint simulation between Simulink/Matlab and SCANeR Studio vehicle dynamics simulator, followed by validation on a real-world dataset. Our findings elucidate the proficiency of the analytical models on vehicle performance, stability, computational efficiency, and energy consumption.

     

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  • [1]
    T.-C. Lin, S. Ji, C. E. Dickerson, and D. Battersby, “Coordinated control architecture for motion management in adas systems,” IEEE/CAA Journal of Automatica Sinica, vol. 5, no. 2, pp. 432–444, 2018. doi: 10.1109/JAS.2017.7510814
    [2]
    X. Cao, T. Xu, Y. Tian, and X. Ji, “Gain-scheduling lpv synthesis h robust lateral motion control for path following of autonomous vehicle via coordination of steering and braking,” Vehicle System Dynamics, vol. 61, no. 4, pp. 1–24, 2022.
    [3]
    X. Li, N. Xu, K. Guo, and Y. Huang, “An adaptive smc controller for evs with four iwms handling and stability enhancement based on a stability index,” Vehicle System Dynamics, vol. 59, no. 10, pp. 1509–1532, 2021. doi: 10.1080/00423114.2020.1767795
    [4]
    A. Chokor, R. Talj, M. Doumiati, A. Hamdan, and A. Charara, “A comparison between a centralized multilayer lpv/h and a decentralized multilayer sliding mode control architectures for vehicle’s global chassis control,” Int. Journal of Control, vol. 95, pp. 1–32, 2020.
    [5]
    W. Botes, T. R. Botha, and P. S. Els, “Real-time lateral stability and steering characteristic control using non-linear model predictive control,” Vehicle System Dynamics, vol. 61, no. 4, pp. 1063–1085, 2022.
    [6]
    Z. Zhang, H. Li, C. Wu, and Q. Zhou, “Finite frequency fuzzy h control for uncertain active suspension systems with sensor failure,” IEEE/CAA Journal of Automatica Sinica, vol. 5, no. 4, pp. 777–786, 2018. doi: 10.1109/JAS.2018.7511132
    [7]
    F. Tarhini, R. Talj, and M. Doumiati, “Dynamic and real-time continuous look-ahead distance for autonomous vehicles: an explicit formulation,” Vehicle System Dynamics, pp. 1–27, 2023.
    [8]
    M. Waqas and P. Ioannou, “Automatic vehicle following under safety, comfort, and road geometry constraints,” IEEE Trans. Intelli-gent Vehicles, vol. 8, no. 1, pp. 531–546, 2023. doi: 10.1109/TIV.2022.3177176
    [9]
    Y. M. Mok, L. Zhai, C. Wang, X. Zhang, and Y. Hou, “A post impact stability control for four hub-motor independent-drive electric vehicles,” IEEE Trans. Vehicular Technology, vol. 71, no. 2, pp. 1384–1396, 2022. doi: 10.1109/TVT.2021.3136186
    [10]
    G. Park and S. B. Choi, “A model predictive control for path tracking of electronic-four-wheel drive vehicles,” IEEE Trans. Vehicular Technology, vol. 70, no. 11, pp. 11 352–11 364, 2021. doi: 10.1109/TVT.2021.3114729
    [11]
    W. Wang, Y. Zhang, C. Yang, T. Qie, and M. Ma, “Adaptive model predictive control-based path following control for four-wheel inde-pendent drive automated vehicles,” IEEE Trans. Intelligent Transportation Systems, vol. 23, no. 9, pp. 14 399–14 412, 2022. doi: 10.1109/TITS.2021.3128268
    [12]
    I. Ahmad, X. Ge, and Q.-L. Han, “Decentralized dynamic event-triggered communication and active suspension control of in-wheel motor driven electric vehicles with dynamic damping,” IEEE/CAA Journal of Automatica Sinica, vol. 8, no. 5, pp. 971–986, 2021. doi: 10.1109/JAS.2021.1003967
    [13]
    Y. Liang, Y. Li, A. Khajepour, and L. Zheng, “Holistic adaptive multi-model predictive control for the path following of 4wid autonomous vehicles,” IEEE Trans. Vehicular Technology, vol. 70, no. 1, pp. 69–81, 2021. doi: 10.1109/TVT.2020.3046052
    [14]
    G. Chen, J. Yao, H. Hu, Z. Gao, L. He, and X. Zheng, “Design and experimental evaluation of an efficient mpc-based lateral motion controller considering path preview for autonomous vehicles,” Control Engineering Practice, vol. 123, p. 105164, 2022. doi: 10.1016/j.conengprac.2022.105164
    [15]
    H. Peng, W. Wang, Q. An, C. Xiang, and L. Li, “Path tracking and direct yaw moment coordinated control based on robust mpc with the finite time horizon for autonomous independent-drive vehicles,” IEEE Trans. Vehicular Technology, vol. 69, no. 6, pp. 6053–6066, 2020. doi: 10.1109/TVT.2020.2981619
    [16]
    J. Guo, J. Wang, Y. Luo, and K. Li, “Robust lateral control of au-tonomous four-wheel independent drive electric vehicles considering the roll effects and actuator faults,” Mechanical Systems and Signal Processing, vol. 143, p. 106773, 2020. doi: 10.1016/j.ymssp.2020.106773
    [17]
    G. Wang, Z. Zuo, and C. Wang, “Robust consensus control of second-order uncertain multiagent systems with velocity and input constraints,” Automatica, vol. 157, p. 111226, 2023. doi: 10.1016/j.automatica.2023.111226
    [18]
    X. Zhou, Z. Wang, H. Shen, and J. Wang, “Robust adaptive path-tracking control of autonomous ground vehicles with considerations of steering system backlash,” IEEE Trans. Intelligent Vehicles, vol. 7, no. 2, pp. 315–325, 2022. doi: 10.1109/TIV.2022.3146085
    [19]
    W. Wang, T. Ma, C. Yang, Y. Zhang, Y. Li, and T. Qie, “A path following lateral control scheme for four-wheel independent drive autonomous vehicle using sliding mode prediction control,” IEEE Trans. Transportation Electrification, vol. 8, no. 3, pp. 3192–3207, 2022. doi: 10.1109/TTE.2022.3170059
    [20]
    Z. Liu, S. Cheng, X. Ji, L. Li, and L. Wei, “A hierarchical anti-disturbance path tracking control scheme for autonomous vehicles under complex driving conditions,” IEEE Trans. Vehicular Technology, vol. 70, no. 11, pp. 11 244–11 254, 2021. doi: 10.1109/TVT.2021.3112524
    [21]
    X. Pan, B. Chen, S. Timotheou, and S. A. Evangelou, “A convex optimal control framework for autonomous vehicle intersection crossing,” IEEE Trans. Intelligent Transportation Systems, vol. 24, no. 1, pp. 163–177, 2023. doi: 10.1109/TITS.2022.3211272
    [22]
    N. Ahmadian, A. Khosravi, and P. Sarhadi, “Driver assistant yaw sta-bility control via integration of afs and dyc,” Vehicle System Dynamics, vol. 60, no. 5, pp. 1742–1762, 2022. doi: 10.1080/00423114.2021.1879390
    [23]
    C. Liu, H. Liu, L. Han, W. Wang, and C. Guo, “Multi-level coordinated yaw stability control based on sliding mode predictive control for distributed drive electric vehicles under extreme conditions,” IEEE Trans. Vehicular Technology, vol. 72, no. 1, pp. 280–296, 2023. doi: 10.1109/TVT.2022.3205892
    [24]
    P. Wang, H. Liu, L. Guo, L. Zhang, H. Ding, and H. Chen, “Design and experimental verification of real-time nonlinear predictive controller for improving the stability of production vehicles,” IEEE Trans. Control Systems Technology, vol. 29, no. 5, pp. 2206–2213, 2021. doi: 10.1109/TCST.2020.3015832
    [25]
    A. K. Mansour Ataei and S. Jeon, “Model predictive control for inte-grated lateral stability, traction/braking control, and rollover prevention of electric vehicles,” Vehicle System Dynamics, vol. 58, no. 1, pp. 49–73, 2020. doi: 10.1080/00423114.2019.1585557
    [26]
    W. Cui, N. Cui, T. Li, Z. Cui, Y. Du, and C. Zhang, “An efficient multi-objective hierarchical energy management strategy for plug-in hybrid electric vehicle in connected scenario,” Energy, vol. 257, p. 124690, 2022. doi: 10.1016/j.energy.2022.124690
    [27]
    C. Jing, H. Shu, R. Shu, and Y. Song, “Integrated control of electric vehicles based on active front steering and model predictive control,” Control Engineering Practice, vol. 121, p. 105066, 2022. doi: 10.1016/j.conengprac.2022.105066
    [28]
    J. Wang, S. Gao, K. Wang, Y. Wang, and Q. Wang, “Wheel torque dis-tribution optimization of four-wheel independent-drive electric vehicle for energy efficient driving,” Control Engineering Practice, vol. 110, p. 104779, 2021. doi: 10.1016/j.conengprac.2021.104779
    [29]
    A. Parra, D. Tavernini, P. Gruber, A. Sorniotti, A. Zubizarreta, and J. Perez, “On nonlinear model predictive control for energy-efficient torque-vectoring,” IEEE Trans. Vehicular Technology, vol. 70, no. 1, pp. 173–188, 2021. doi: 10.1109/TVT.2020.3022022
    [30]
    Q. Li, J. Zhang, L. Li, X. Wang, B. Zhang, and X. Ping, “Coordination control of maneuverability and stability for four-wheel-independent-drive ev considering tire sideslip,” IEEE Trans. Transportation Electrification, vol. 8, no. 3, pp. 3111–3126, 2022. doi: 10.1109/TTE.2022.3159843
    [31]
    L. Zhai, T. Sun, and J. Wang, “Electronic stability control based on motor driving and braking torque distribution for a four in-wheel motor drive electric vehicle,” IEEE Trans. Vehicular Technology, vol. 65, no. 6, pp. 4726–4739, 2016. doi: 10.1109/TVT.2016.2526663
    [32]
    H. Wei, Q. Ai, W. Zhao, and Y. Zhang, “Modelling and experimental validation of an ev torque distribution strategy towards active safety and energy efficiency,” Energy, vol. 239, p. 121953, 2022. doi: 10.1016/j.energy.2021.121953
    [33]
    M. Dalboni, D. Tavernini, U. Montanaro, A. Soldati, C. Concari, M. Dhaens, and A. Sorniotti, “Nonlinear model predictive control for integrated energy-efficient torque-vectoring and anti-roll moment distribution,” IEEE/ASME Trans. Mechatronics, vol. 26, no. 3, pp. 1212–1224, 2021. doi: 10.1109/TMECH.2021.3073476
    [34]
    J. Huang, Y. Liu, M. Liu, M. Cao, and Q. Yan, “Multi-objective optimization control of distributed electric drive vehicles based on optimal torque distribution,” IEEE Access, vol. 7, pp. 16 377–16 394, 2019. doi: 10.1109/ACCESS.2019.2894259
    [35]
    H. Wei, N. Zhang, J. Liang, Q. Ai, W. Zhao, T. Huang, and Y. Zhang, “Deep reinforcement learning based direct torque control strategy for distributed drive electric vehicles considering active safety and energy saving performance,” Energy, vol. 238, p. 121725, 2022. doi: 10.1016/j.energy.2021.121725
    [36]
    H. Deng, Y. Zhao, A.-T. Nguyen, and C. Huang, “Fault-tolerant predic-tive control with deep-reinforcement-learning-based torque distribution for four in-wheel motor drive electric vehicles,” IEEE/ASME Transac-tions on Mechatronics, vol. 28, no. 2, pp. 668–680, 2023. doi: 10.1109/TMECH.2022.3233705
    [37]
    F. Tarhini, R. Talj, and M. Doumiati, “Dual-level control architectures for over-actuated autonomous vehicle’s stability, path-tracking, and energy economy,” IEEE Trans. Intelligent Vehicles, vol. 9, no. 1, pp. 287–303, 2024. doi: 10.1109/TIV.2023.3333273
    [38]
    H. Chen, P. Du, Y. Wang, D. Jin, and X. Lian, “Dynamic energy-efficient torque allocation algorithm for in-wheel motor-driven vehicle,” Proc. the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 234, no. 7, pp. 1815–1825, 2020. doi: 10.1177/0954407019899205
    [39]
    M. Tian, Q. Zhang, D. Tian, L. Jin, J. Li, and F. Xiao, “Pre-stability control for in-wheel-motor-driven electric vehicles with dynamic state prediction,” IEEE Trans. Intelligent Vehicles, vol. 9, no. 3, pp. 4541–4554, 2024. doi: 10.1109/TIV.2024.3368207
    [40]
    S. Barcellona, M. Barresi, and S. Colnago, “Torque allocation and energy management strategy for a multi-motor electric vehicle,” in 2023 IEEE Vehicle Power and Propulsion Conf. (VPPC), 2023, pp. 1–6.
    [41]
    X. Hu, H. Chen, Z. Li, and P. Wang, “An energy-saving torque vectoring control strategy for electric vehicles considering handling stability under extreme conditions,” IEEE Trans. Vehicular Technology, vol. 69, no. 10, pp. 10787–10796, 2020. doi: 10.1109/TVT.2020.3011921
    [42]
    J. Liang, F. Wang, J. Feng, M. Zhao, R. Fang, D. Pi, and G. Yin, “A hierarchical control of independently driven electric vehicles considering handling stability and energy conservation,” IEEE Trans. Intelligent Vehicles, vol. 9, no. 1, pp. 738–751, 2024. doi: 10.1109/TIV.2023.3335251
    [43]
    X. Hu, P. Wang, Y. Hu, and H. Chen, “A stability-guaranteed and energy-conserving torque distribution strategy for electric vehicles under extreme conditions,” Applied Energy, vol. 259, p. 114162, 2020. doi: 10.1016/j.apenergy.2019.114162
    [44]
    S. H. Kim and K.-K. K. Kim, “Model predictive control for energy-efficient yaw-stabilizing torque vectoring in electric vehicles with four in-wheel motors,” IEEE Access, vol. 11, pp. 37 665–37 680, 2023. doi: 10.1109/ACCESS.2023.3266330
    [45]
    R. Rajamani, Vehicle Dynamics and Control, 2nd ed. Springer, 2012.
    [46]
    F. Tarhini, R. Talj, and M. Doumiati, “Multi-objective control archi-tecture for an autonomous in-wheel driven electric vehicle,” IFAC-PapersOnLine, vol. 56, no. 2, pp. 11 470–11 476, 2023. doi: 10.1016/j.ifacol.2023.10.436
    [47]
    SCANeR - AVSimulation, SCANeR Studio Simulator. [Online]. Available: https://www.avsimulation.com/scaner/
    [48]
    Protean Electric PD18 In-wheel Electric Motor Datasheet, Protean Electric. [Online]. Available: https://www.proteanelectric.com/f/2018/05/Pd18-Datasheet-Master.pdf
    [49]
    Y. Tian, X. Cao, X. Wang, and Y. Zhao, “Four wheel independent drive electric vehicle lateral stability control strategy,” IEEE/CAA Journal of Automatica Sinica, vol. 7, no. 6, pp. 1542–1554, 2020. doi: 10.1109/JAS.2019.1911729
    [50]
    N. Guo, X. Zhang, Y. Zou, B. Lenzo, G. Du, and T. Zhang, “A supervisory control strategy of distributed drive electric vehicles for coordinating handling, lateral stability, and energy efficiency,” IEEE Trans. Transportation Electrification, vol. 7, no. 4, pp. 2488–2504, 2021. doi: 10.1109/TTE.2021.3085849
    [51]
    R. Jazar, Vehicle dynamics: Theory and application, second edition, 01 2014.
    [52]
    F. Tarhini, R. Talj, and M. Doumiati, “Adaptive look-ahead distance based on an intelligent fuzzy decision for an autonomous vehicle,” in 2023 IEEE Intelligent Vehicles Symposium (IV), 2023, pp. 1–8.
    [53]
    F. Tarhini, R. Talj, and M. Doumiati, “Safe and energy-efficient jerk-controlled speed profiling for on-road autonomous vehicles,” IEEE Trans. Intelligent Vehicles, pp. 1–16, 2024.

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