Abstract
Some physical parameters of a hub motor-driven four-wheel electric vehicle will change when the vehicle turns or maneuvers and the parameter change is caused by the change of the driving conditions. An adaptive sliding mode control is proposed in this paper to maintain the vehicle’s stability by compensating for the change of these parameters. The control parameter being adapted is the converging rate of the system state towards the sliding mode. As the Lyapunov method is used, so both the vehicle stability and adaptive rate convergence are guaranteed. Moreover, the hierarchical control structure is adopted for this vehicle stability control system. The above adaptive sliding model control forms the upper-layer; while the lower-layer control is to distribute the upper torque to the four wheels in an optimal way, subject to several constraints. In addition, the best feasible reference of the yaw rate and the vehicle side slip angle are obtained and used in the control system. The developed method is simulated under the CarSim/MATLAB co-simulation environment to evaluate the system performance. The simulation results are compared with the non-adaptive existing sliding mode control, and show that the proposed method is superior under different conditions.
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Alipour, H., Sabahi, M. and Sharifian, M. B. B. (2015). Lateral stabilization of a four wheel independent drive electric vehicle on slippery roads. Mechatronics, 30, 275–285.
Chiara, F. and Canova, M. (2013). A review of energy consumption, management, and recovery in automotive systems, with considerations of future trends. Proc. Institution of Mechanical Engineers, Part D: J. Automobile Engineering 111, 6, 914–936.
Choi, M. and Choi, S. (2014). Model predictive control for vehicle yaw stability with practical concerns. IEEE Trans. Vehicular Technology63, 8, 3539–3548.
Emırler, M. T., Kahraman, K., Sentürk, M., Acar, O. U., Guvenç, B. A., Güvenç, L. and Efendioğlu, B. (2015). Lateral stability control of fully electric vehicles. Int. J. Automotive Technology16, 2, 317–328.
Hu, C., Jing, H., Wang, R., Yan, F. and Chadli, M. (2016). Robust H., output-feedback control for path following of autonomous ground vehicles. Mechanical Systems and Signal Processing, 70–71, 414–427.
Jalali, M., Hashemi, E., Khajepour, A., Chen, S.-k. and Litkouhi, B. (2017). Integrated model predictive control and velocity estimation of electric vehicles. Mechatronics, 46, 84–100.
Kanarachos, S., Alirezaei, M., Jansen, S. and Maurice, J.-P. (2014). Control allocation for regenerative braking of electric vehicles with an electric motor at the front axle using the state-dependent Riccati equation control technique. Proc. Institution of Mechanical Engineers. Part D: J. Automobile Engineering228, 2, 129–143.
Kazemi, R. and Janbakhsh, A. A. (2010). Nonlinear adaptive sliding mode control for vehicle handling improvement via steer-by-wire. Int. J. Automotive Technology11, 3, 345–354.
Le, A.-T. and Chen, C.-K. (2016). Vehicle stability control by using an adaptive sliding-mode algorithm. Int. J. Vehicle Design72, 2, 107–131.
Lee, H., Park, K., Hwang, T., Noh, K., Heo, S.-J., Jeong, J. I., Choi, S., Kwak, B. and Kim, S. (2009). Development of enhanced ESP system through vehicle parameter estimation. J. Mechanical Science and Technology23, 4, 1046–1049.
Li, B., Goodarzi, A., Khajepour, A., Chen, S.-k. and Litkouhi, B. (2015b). An optimal torque distribution control strategy for four-independent wheel drive electric vehicles. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility53, 8, 1172–1189.
Li, L., Jia, G., Chen, J., Zhu, H., Cao, D. and Song, J. (2015a). A novel vehicle dynamics stability control algorithm based on the hierarchical strategy with constrain of nonlinear tire forces. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility53, 8, 1093–1116.
Lian, Y. F., Zhao, Y., Hu, L. L. and Tian, Y. T. (2015). Cornering stiffness and sideslip angle estimation based on simplified lateral dynamic models for four-in-wheel-motor-driven electric vehicles with lateral tire force information. Int. J. Automotive Technology16, 4, 669–683.
Luo, Y., Cao, K., Xiang, Y. and Li, K. (2015). Vehicle stability and attitude improvement through the coordinated control of longitudinal, lateral and vertical tyre forces for electric vehicles. Int. J. Vehicle Design69, 1–4, 25–49.
Maiseh, W., Jonner, W.-D., Mergenthaler, R. and Sigl, A. (1993). ABS5 and ASR5: The NEW ABS/ASR family to optimize directional stability and traction. SAE Paper No. 930505.
Nam, K., Fujimoto, H. and Hori, Y. (2014). Advanced motion control of electric vehicles based on robust lateral tire force control via active front steering. IEEE/ ASME Trans. Mechatronics19, 1, 289–299.
Nam, K., Fujimoto, H. and Hori, Y. (2015). Design of an adaptive sliding mode controller for robust yaw stabilization of in-wheel-motor-driven electric vehicles. Int. J. Vehicle Design67, 1, 98–113.
Tchamna, R. and Youn, I. (2013). Yaw rate and side-slip control considering vehicle longitudinal dynamics. Int. J. Automotive Technology14, 1, 53–60.
Tsumasaka, A., Fujimoto, H. and Noguchi, T. (2009). Running stabilization control of electric vehicle based on cornering stiffness estimation. Electrical Engineering in Japan166, 4, 97–104.
Wang, H., He, P., Yu, M., Liu, L., Do, M. T., Kong, H. and Man, Z. (2016a). Adaptive neural network sliding mode control for steer-by-wire-based vehicle stability control. J. Intelligent & Fuzzy Systems31, 2, 885–902.
Wang, R., Jing, H., Hu, C., Yan, F. and Chen, N. (2016b). Robust H∞ path following control for autonomous ground vehicles with delay and data dropout. IEEE Trans. Intelligent Transportation Systems17, 7, 2042–2050.
Yu, Z., Leng, B., Xiong, L., Feng, Y. and Shi, F. (2016). Direct yaw moment control for distributed drive electric vehicle handling performance improvement. Chinese J. Mechanical Engineering29, 3, 486–497.
Zhai, L., Sun, T. and Wang, J. (2016). Electronic stability control based on motor driving and braking torque distribution for a four in-wheel motor drive electric vehicle. IEEE Trans. Vehicular Technology65, 6, 4726–4739.
Zhang, Z., Zhang, N., Huang, C., Liu, X. and Ding, F. (2013). Observer-based H., control for vehicle handling and stability subject to parameter uncertainties. Proc. Institution of Mechanical Engineers, Part I: J. Systems and Control Engineering227, 9, 704–717.
Zhao, H., Ren, B., Chen, H. and Deng, W. (2015). Model predictive control allocation for stability improvement of four-wheel drive electric vehicles in critical driving condition. IET Control Theory & Applications9, 18, 2688–2696.
Acknowledgement
This work was supported in part by the National Key Research and Development Program Projects under Grant 2016YFB0101102, in part by the Jilin Provincial Science and Technology Department Fund Natural under Grant 20190201099JC, in part by Science and Technology Project of the 13th Five-Year Plan of the Education Department of Jilin Province under Grant JJKH20190167KJ.
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Li, ST., Liu, H., Zhao, D. et al. Adaptive Sliding Mode Control of Lateral Stability of Four Wheel Hub Electric Vehicles. Int.J Automot. Technol. 21, 739–747 (2020). https://doi.org/10.1007/s12239-020-0072-1
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DOI: https://doi.org/10.1007/s12239-020-0072-1