Abstract
This paper focuses on the path-tracking controller design for autonomous ground vehicles (AGVs) using four-wheel steering (4WS) and direct yaw-moment control (DYC) systems. In order to deal with the parametric uncertainties, a linear parameter-varying (LPV) H∞ controller is designed as the high-level controller to generate the front and rear wheel steering angles and external yaw moment based on linear matrix inequality (LMI) approach. The lower-level controller is designed for torque allocation between the left and right side wheels to yield the desired total longitudinal force and external yaw moment utilizing weighted least square (WLS) allocation algorithm. To test the performance of the proposed path-tracking controller, numerical simulations are carried out based on a high-fidelity and full-vehicle model constructed in CarSim. Simulation results show that the LPV/H∞ controller has better path-tracking performance than the fixed gain H∞ controller. To show the superiority of 4WS+DYC control system, the contrast simulation is performed based on LPV/H∞ controller. Simulation results indicate that 4WS+DYC control system has better path-tracking performance and handling stability than active front steering (AFS), AFS+DYC and 4WS control systems.
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References
Backfrieder, C., Ostermayer, G. and Mecklenbräuker, C. F. (2017). Increased traffic flow through node-based bottleneck prediction and V2X communication. IEEE Trans. Intelligent Transportation Systems 18, 2, 349–363.
Chen, S., Shu, J. and Yang, L. (2006). Research on vehicle control technology using four-wheel independent steering system. J. Beijing Institute of Technology 15, 1, 22–26.
El Hajjaji, E. and Bentalba, S. (2003). Fuzzy path tracking control for automatic steering of vehicles. Robotics and Autonomous Systems 43, 4, 203–213.
Goodarzi, A., Sabooteh, A. and Esmailzadeh, E. (2008). Automatic path control based on integrated steering and external yaw-moment control. Proc. Institution of Mechanical Engineers, Part K: J. Multi-body Dynamics 222, 2, 189–200.
Guo, J., Hu, P., Li, L. and Wang, R. (2012). Design of automatic steering controller for trajectory tracking of unmanned vehicles using genetic algorithms. IEEE Trans. Vehicular Technology 61, 7, 2913–2924.
Hang, P., Chen, X., Luo, F. and Fang, S. (2017a). Robust control of a four-wheel-independent-steering electric vehicle for path tracking. SAE Int. J. Vehicle Dynamics, Stability and NVH 1, 2, 307–316.
Hang, P., Chen, X., Fang, S. and Luo, F. (2017b). Robust control for four-wheel-independent-steering electric vehicle with steer-by-wire system. Int. J. Automotive Technology 18, 5, 785–797.
Hang, P., Luo, F., Fang, S. and Chen, X. (2017c). Path tracking control of a four-wheel-independent-steering electric vehicle based on model predictive control. Proc. IEEE 36th Chinese Control Conf. (CCC), 9360–9366.
Hiraoka, T., Nishihara, O. and Kumamoto, H. (2009). Automatic path-tracking controller of a four-wheel steering vehicle. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility 47, 10, 1205–1227.
Hu, C., Wang, R., Yan, F. and Chen, N. (2015). Should the desired heading in path following of autonomous vehicles be the tangent direction of the desired path. IEEE Trans. Intelligent Transportation Systems 16, 6, 3084–3094.
Hu, C., Wang, R., Yan, F. and Chen, N. (2016). Output constraint control on path following of four-wheel independently actuated autonomous ground vehicles. IEEE Trans. Vehicular Technology 65, 6, 4033–4043.
Janbakhsh, A. A., Khaknejad, M. B. and Kazemi, R. (2013). Simultaneous vehicle-handling and path-tracking improvement using adaptive dynamic surface control via a steer-by-wire system. Proc. Institution of Mechanical Engineers, Part D: J. Automobile Engineering 227, 3, 345–360.
Jin, X., Yin, G., Bian, C., Chen, J., Li, P. and Chen, N. (2016). Gain-scheduled vehicle handling stability control via integration of active front steering and suspension systems. J. Dynamic Systems, Measurement, and Control 138, 1, 014501–1–014501–12.
Kim, E., Kim, J. and Sunwoo, M. (2014). Model predictive control strategy for smooth path tracking of autonomous vehicles with steering actuator dynamics. Int. J. Automotive Technology 15, 7, 1155–1164.
Kobayashi, T., Katsuyama, E., Sugiura, H., Ono, E. and Yamamoto, M. (2017). Direct yaw moment control and power consumption of in-wheel motor vehicle in steady-state turning. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility 55, 1, 104–120.
Lam, T. L., Qian, H. and Xu, Y. (2010). Omnidirectional steering interface and control for a four-wheel independent steering vehicle. IEEE/ASME Trans. Mechatronics 15, 3, 329–338.
Mashadi, B., Ahmadizadeh, P. and Majidi, M. (2011). Integrated controller design for path following in autonomous vehicles. SAE Paper No. 2011-01-1032.
Mashadi, B., Ahmadizadeh, P., Majidi, M. and Mahmoodi-Kaleybar, M. (2015). Integrated robust controller for vehicle path following. Multibody System Dynamics 33, 2, 207–228.
Tchenderli-Braham, S. A., Hamerlain, F. and Saadia, N. (2015). Experimentations on the adaptive sliding mode control for a trajectory tracking applied on a bi-steerable car. Int. J. Vehicle Design 69, 1–4, 285–303.
Wang, H., Wang, D. and Peng, Z. H. (2015a). Adaptive neural control for cooperative path following of marine surface vehicles: state and output feedback. Int. J. Systems Science 47, 2, 343–359.
Wang, R., Chen, Y., Feng, D., Huang, X. and Wang, J. (2011). Development and performance characterization of an electric ground vehicle with independently actuated in-wheel motors. J. Power Sources 196, 8, 3962–3971.
Wang, R., Zhang, H., Wang, J., Yan, F. and Chen, N. (2015b). Robust lateral motion control of four-wheel independently actuated electric vehicles with tire force saturation consideration. J. Franklin Institute 352, 2, 645–668.
Xiong, L., Yu, Z., Wang, Y., Chen, Y. and Men, Y. (2012). Vehicle dynamics control of four in-wheel motor drive electric vehicle using gain scheduling based on tyre cornering stiffness estimation. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility 50, 6, 831–846.
Yakub, F., Abu, A., Sarip, S. and Mori, Y. (2016). Study of model predictive control for path-following autonomous ground vehicle control under crosswind effect. J. Control Science and Engineering, 2016, 1–18.
Yakub, F. and Mori, Y. (2015). Comparative study of autonomous path-following vehicle control via model predictive control and linear quadratic control. Proc. Institution of Mechanical Engineers, Part D: J. Automobile Engineering 229, 12, 1695–1714.
Yang, X., Wang, Z. and Peng, W. (2008). LPV model based robust gain scheduling control of vehicle stability. SAE Paper No. 2008-01-2598.
Yin, G., Wang, R. and Wang, J. (2015). Robust control for four wheel independently-actuated electric ground vehicles by external yaw-moment generation. Int. J. Automotive Technology 16, 5, 839–847.
You, S.-S. and Jeong, S.-K. (2002). Controller design and analysis for automatic steering of passenger cars. Mechatronics 12, 3, 427–446.
Yu, H., Duan, J., Taheri, S. and Cheng, H. (2015). A model predictive control approach combined unscented Kalman filter vehicle state estimation in intelligent vehicle trajectory tracking. Advances in Mechanical Engineering 7, 5, 1–14.
Zhang, H., Zhang, X. and Wang, J. (2014). Robust gain-scheduling energy-to-peak control of vehicle lateral dynamics stabilization. Vehicle System Dynamics: Int. J. Vehicle Mechanics and Mobility 52, 3, 309–340.
Zhao, H., Gao, B., Ren, B. and Chen, H. (2015). Integrated control of in-wheel motor electric vehicles using a triple-step nonlinear method. J. Franklin Institute 352, 2, 519–540.
Zhou, Y., Dey, K. C., Chowdhury, M. and Wang, K. C. (2017). Process for evaluating the data transfer performance of wireless traffic sensors for real-time intelligent transportation systems applications. IET Intelligent Transport Systems 11, 1, 18–27.
Zong, C., Liu, J., Zheng, H., Song, P. and Zhang, Q. (2011). Modeling and special conditions simulation of electric vehicle with 4WID/4WIS. Qiche Gongcheng 33, 10, 829–833.
Acknowledgement
This study is supported by National Key R&D Program of China (Grant No. 2018YFB0104802) and National Nature Science Foundation of China (U1564207). The authors would like to express their sincere thanks to them for providing research funding.
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Hang, P., Chen, X. & Luo, F. LPV/H∞ Controller Design for Path Tracking of Autonomous Ground Vehicles Through Four-Wheel Steering and Direct Yaw-Moment Control. Int.J Automot. Technol. 20, 679–691 (2019). https://doi.org/10.1007/s12239-019-0064-1
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DOI: https://doi.org/10.1007/s12239-019-0064-1