Abstract
A dual-layer energy-efficient control strategy is proposed for distributed drive electric vehicles to reduce energy consumption during cornering maneuvers and improve vehicle stability. The hierarchical control strategy consists of two energy-saving schemes. The first-layer energy-efficient scheme combines an active front steering (AFS) system and direct yaw moment control (DYC) to improve vehicle stability and reduce total energy consumption. An extended Kalman filter observer is proposed to estimate lateral forces and side-slip angle. The second-layer energy-efficient scheme adopts a multiobjective driving/braking torque allocation algorithm to achieve minimum energy consumption while maintaining vehicle stability. A friction ellipse constraint and an actuator constraint are considered. Furthermore, the effect of the actuator restraint on the vehicle’s yaw stability in a high-speed cornering maneuver is studied. Finally, the proposed control strategy is evaluated in MATLAB and the CarSim platform. The results demonstrate that the actuator constraint has a great influence on vehicle stability during high-speed cornering maneuvers. In addition, compared with a conventional control strategy, the dual-layer energy-efficient control strategy can reduce energy consumption by 29.5 % and 28.8 % for the dual lane change maneuver and high-speed snake steering maneuver, respectively. The proposed control strategy can effectively enhance the vehicle’s handing performance during high-speed cornering maneuvers.
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References
Chen, Y. and Wang, J. (2013). Adaptive energy-efficient control allocation for planar motion control of over-actuated electric ground vehicles. IEEE Trans. Control Systems Technology 22, 4, 1362–1373.
Di Cairano, S., Tseng, H. E., Bernardini, D. and Bemporad, A. (2012). Vehicle yaw stability control by coordinated active front steering and differential braking in the tire side-slip angles domain. IEEE Trans. Control Systems Technology 21, 4, 1236–1248.
Diao, X., Jin, Y., Ma, L., Ding, S. and Jiang, H. (2017). Composite active front steering controller design for vehicle system. IEEE Access, 5, 6697–6706.
Elhefnawy, A., Ragheb, H. and Hegazy, S. (2017). Design of an integrated yaw-roll moment and active front steering controller using fuzzy logic control. SAE Int. J. Vehicle Dynamics, Stability, and NVH 1, 2017-01-1569, 270–282.
Fujimoto, H. and Harada, S. (2015). Model-based range extension control system for electric vehicles with front and rear driving-braking force distributions. IEEE Trans. Industrial Electronics 62, 5, 3245–3254.
Hamzah, N., Aripin, M. K., Sam, Y. M., Selamat, H. and Ismail, M. F. (2012). Yaw stability improvement for four-wheel active steering vehicle using sliding mode control. Int. Colloquium on Signal Processing and its Applications, 127–132.
Han, Z., Xu, N., Chen, H. and Zhao, B. (2018). Energy-efficient control of electric vehicles based on linear quadratic regulator and phase plane analysis. Applied Energy, 213, 639–657.
Huang, J., Liu, Y., Liu, M., Cao, M. and Yan Q. (2019). Multi-objective optimization control of distributed electric drive vehicles based on optimal torque distribution. IEEE Access, 7, 16377–16394.
Jalali, M., Khosravani, S., Khajepour, A., Chen, S. K. and Litkouhi, B. (2017). Model predictive control of vehicle stability using coordinated active steering and differential brakes. Mechatronics, 48, 30–41.
Jin, X., Yin, G., Bian, C., Chen, J., Li, P. and Chen, N. (2016a). Gain-scheduled vehicle handling stability control via integration of active front steering and suspension systems. J. Dynamic Systems, Measurement, and Control 138, 1, 014501.
Jin, X., Yin, G., Zhang, N. and Chen, J.(2016b). Improving vehicle handling stability performance via integrated control of active front steering and suspension systems. IEEE Trans. Electrification Conf. and Expo Asia Pacific. Busan, South Korea.
Kang, J., Yoo J. and Yi, K. (2011). Driving control algorithm for maneuverability, lateral stability, and rollover prevention of 4WD electric vehicles with independently driven front and rear wheels. IEEE Trans. Vehicular Technology 60, 7, 2987–3001.
Li, B., Du, H. and Li, W. (2016a). Optimal distribution control of non-linear tire force of electric vehicles with inwheel motors. Asian J. Control 18, 1, 69–88.
Li, B., Goodarzi, A., Khajepour, A., Chen, S. K. and Litkouhi, B. (2015). An optimal torque distribution control strategy for four-independent wheel drive electric vehicles. Vehicle System Dynamics 53, 8, 1172–1189.
Li, L., Lu, Y., Wang, R. and Chen, J. (2016b). A three-dimensional dynamics control framework of vehicle lateral stability and rollover prevention via active braking with MPC. IEEE Trans. Industrial Electronics 64, 4, 3389–3401.
Liu, Z., Hao, H., Cheng, X. and Zhao, F. (2018). Critical issues of energy efficient and new energy vehicles development in China. Energy Policy, 115, 92–97.
Ma, X., Wong, P K., Zhao, J. and Xie, Z. (2019). Cornering stability control for vehicles with active front steering system using TS fuzzy based sliding mode control strategy. Mechanical Systems and Signal Processing, 125, 347–364.
March, C. and Shim, T. (2007). Integrated control of suspension and front steering to enhance vehicle handling. Proc. Institution of Mechanical Engineers, Part D: J. Automobile Engineering, 221, 4, 377–391.
Meng, Q., Zhao, T., Qian, C., Sun, Z. Y. and Ge, P. (2018). Integrated stability control of AFS and DYC for electric vehicle based on non-smooth control. Int. J. Systems Science 49, 7, 1518–1528.
Mousavinejad, E., Han, Q. L., Yang, F., Zhu, Y. and Vlacic, L. (2017). Integrated control of ground vehicles dynamics via advanced terminal sliding mode control. Vehicle System Dynamics 55, 2, 268–294.
Wu, J., Cheng, S., Liu, B. and Liu, C. (2017). A human-machine-cooperative-driving controller based on AFS and DYC for vehicle dynamic stability. Energies 10, 11, 1737.
Wu, X. G. and Zheng, D. Y. (2017). Contrastive study on torque distribution of distributed drive electric vehicle under different control methods. J. Control Science and Engineering, 2017.
Xie, X., Jin, L., Jiang, Y. and Guo, B. (2018). Integrated dynamics control system with ESC and RAS for a distributed electric vehicle. IEEE Access, 6, 18694–18704.
Yang, X., Wang, Z. and Peng, W. (2009). Coordinated control of AFS and DYC for vehicle handling and stability based on optimal guaranteed cost theory. Vehicle System Dynamics 47, 1, 57–79.
Yuan, X., Wang J. and Colombage, K. (2012). Torque distribution strategy for a front and rear wheel driven electric vehicle. 6th IET Int. Conf. Power Electronics, Machines and Drives. Bristol, UK.
Zhai, L., Hou, R., Sun, T. and Kavuma, S. (2018). Continuous steering stability control based on an energy-saving torque distribution algorithm for a four in-wheel-motor independent-drive electric vehicle. Energies 11, 2, 350.
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 Technology 65, 6, 4726–4739.
Zhang, X, Göhlich, D. and Li, J. (2017). Energy-efficient toque allocation design of traction and regenerative braking for distributed drive electric vehicles. IEEE Trans. Vehicular Technology 67, 1, 285–295.
Zhang, X. and Göhlich, D. (2017). Integrated traction control strategy for distributed drive electric vehicles with improvement of economy and longitudinal driving stability. Energies 10, 1, 126.
Zhao, Y., Xu, J., Wang, X. and Mei, X. (2018). The adaptive fading extended kalman filter SOC estimation method for lithium-ion batteries. Energy Procedia, 145, 357–362.
Zhou, X. and Zhou, J. (2019). The tracking control study of distributed electric-driven agricultural vehicles based on real-time online estimation. Advances in Mechanical Engineering 11, 5, 1687814019846989.
Acknowledgement
This research was supported by the National Natural Science Foundation of China (Grant No. 51975069) and the Natural Science Foundation Project of Chongqing (Grant No. cstc2018jcyjAX0077).
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Jing, C., Shu, H., Song, Y. et al. Hierarchical Control of Yaw Stability and Energy Efficiency for Distributed Drive Electric Vehicles. Int.J Automot. Technol. 22, 1169–1188 (2021). https://doi.org/10.1007/s12239-021-0104-5
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DOI: https://doi.org/10.1007/s12239-021-0104-5