Abstract
The four-wheel steering (4WS) is an efficient method to improve the manoeuvrability of electric vehicle with the tendency of understeer, by providing the sufficient steering angles. Because of the various kinds of driving environments, the inner coupling between the active front and rear wheels of the 4WS vehicle is a challenging problem, which usually results in unstable yaw stability of the vehicle. In order to solve this coupling problem, this paper presents a double-layer dynamic decoupling control system (DDDCS), which consists of an upper part-dynamic decoupling unit (DDU) and a lower part-steering control unit (SCU). The DDU is presented to solve the dynamic coupling problem between the active front and rear wheels, and separately establishes two decoupled models by the diagonal decoupling method. The SCU is designed to obtain the decoupled control signals by the model predictive controller, then, the yaw stability of 4WS vehicle can be guaranteed. The results of the simulation show that the proposed DDDCS has good decoupling performance and stable yaw performance for 4WS vehicle.
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K. Shi, X. Yuan, and L. Liu, “Model predictive controller-based multi-model control system for longitudinal stability of distributed drive electric vehicle,” ISA Transactions, vol. 72, pp. 44–55, May 2018.
S. Li, S. Yang, and L. Chen, “Investigation on cornering brake stability of a heavy-duty vehicle based on a nonlinear three-directional coupled model,” Applied Mathematical Modelling, vol. 40, no. 13, pp. 6310–6323, 2016.
G. Yin, N. Chen, and P. Li, “Improving handling stability performance of four-wheel steering vehicle via m-synthesis robust control,” IEEE Transactions on Vehicular Technology, vol. 56, no. 5, pp. 2432–2439, 2007.
K. Shi, X. Yuan, G. Huang, and Q. He, “MPC-based compensation control system for the yaw stability of distributed drive electric vehicle,” International Journal of Systems Science, vol. 49, no. 8, pp. 1795–1808, 2018.
R. Marino and F. Cinili, “Input-output decoupling control by measurement feedback in four-wheel-steering vehicles,” IEEE Transactions on Control Systems Technology, vol. 17, no. 5, pp. 1163–1172, 2009.
C. Chen, Y. Jia, and J. Du, “Nonlinear decoupling control of vehicle plane motion,” IET Control Theroy and Applications, vol. 6, no. 12, pp. 2083–2094, 2012.
P. Hang, X. Chen, and S. Fang, “Robust control for fourwheel-independent-steering electric vehicle with steer-bywire system,” International Journal of Automotive Technology, vol. 18, no. 5, pp. 785–797, 2017.
Q. Lu, P. Gentile, and A. Tota, “Enhancing vehicle cornering limit through sideslip and yaw rate control,” Mechanical Systems and Signal Processing, vol. 75, pp. 455–472, 2016.
M. Riccardo and S. Scalzi, “Asymptotic sideslip angle and yaw rate decoupling control in four-wheel steering vehicles,” Vehicle System Dynamics, vol. 48, no. 9, pp. 999–1019, 2002.
C. W. Fu and M. Smith, “Disturbance response decoupling and achievable performance with application to vehicle active suspension,” International Journal of Control, vol. 75, no. 12, pp. 946–953, 2012.
M. Li, Y. Jia, and J. Du, “LPV control with decoupling performance of 4WS vehicles under velocity-varying motion,” IEEE Transactions on Control Systems Technology, vol. 22, no. 5, pp. 1708–1724, 2014.
M. Li and Y. Jia, “Decoupling control in velocity-varying four-wheel steering vehicles with performance by longitudinal velocity and yaw rate feedback,” Vehicle System Dynamics, vol. 52, no. 12, pp. 1563–1583, 2012.
Y. Jia, “Robust control with decoupling performance for steering and traction of 4WS vehicles under velocityvarying motion,” IEEE Transactions on Control Systems Technology, vol. 8, no. 3, pp. 554–569, 2000.
S. Ahmed, I. Ganchev, and A. Taneva, “Nonlinear decoupling control of vehicle plane motion,” Proc. of IEEE International Conference on Intelligent Systems, pp. 610–615, 2016.
S. Rathinasamy and S. Mohanapriya, “State estimation and dissipativity-based control design for vehicle lateral dynamics with probabilistic faults,” IEEE Transactions on Industrial Electronics, vol. 65, no. 9, pp. 7193–7201, 2018.
R. Rajamani, “Nonlinear decoupling control of vehicle plane motion,” Mechanical Engineering Series, 1st ed., Springer, 2006.
B. Ren, H. Chen, and H. Zhao, “MPC-based yaw stability control in in-wheel-motored EV via active front steering and motor torque distribution,” Mechatronics, vol. 38, pp. 103–114, 2015.
L. Yuan, H. Zhao, and H. Chen, “Nonlinear MPC-based slip control for electric vehicles with vehicle safety constraints,” Mechatronics, vol. 38, pp. 1–15, 2016.
H. B. Pacejka, Tyre and Vehicle Dynamics, 2nd ed., Elsevier, London, UK, 2005.
B. J. Olson, S.W. Shaw, and G. Stpn, “Nonlinear dynamics of vehicle traction,” Vehicle System Dynamics, vol. 40, no. 6, pp. 377–399, 2003.
K. Nam, “Application of novel lateral tire force sensors to vehicle parameter estimation of electric vehicles,” Sensors, vol. 15, no. 11, pp. 28385–28401, 2015.
Y. Ji, H. Guo, and H. Chen, “Integrated control of active front steering and direct yaw moment for enhancing lateral vehicle stability,” Proc. of International Conference on Mechatronics and Control, pp. 1078–1083, 2015.
Y. Alipouri and H. Alipour, “Attenuating noise effect on yaw rate control of independent drive electric vehicle using minimum variance controller,” Nonlinear Dynamics, pp. 1–15, 2016.
R. Zhang, A. Xue, and S. Wang, “Partially decoupled approach of extended non-minimal state space predictive functional control for MIMO processes,” Journal of Process Control, vol. 22, no. 6, pp. 837–851, 2012.
V. Kucera, “Diagonal decoupling of linear systems by static state feedback,” IEEE Transactions on Automatic Control, vol. 62, no. 12, pp. 6250–6265, 2017.
R. Zhang and F. Gao, “State space model predictive control using partial decoupling and output weighting for improved model/plant mismatch performance,” Industrial and Engineering Chemistry Research, vol. 52, no. 2, pp. 817–829, 2013.
M. Li, Y. Jia, and F. Matsuno, “Attenuating diagonal decoupling with robustness for velocity-varying 4WS vehicles,” Control Engineering Practice, vol. 56, pp. 49–59, 2016.
R. Zhang, R. Lu, A. Xue, and F. Gao, “New minmax linear quadratic fault-tolerant tracking control for batch processes,” IEEE Transactions on Automatic Control, vol. 61, no. 10, pp. 3045–3051, 2016.
J. Tao, L. Ma, and Y. Zhu, “Improved control using extended non-minimal state space MPC and modified LQR for a kind of nonlinear systems,” ISA Transactions, vol. 65, pp. 319–326, 2016.
Z. W. Siew, A. Kiring, and H. T. Yew, “Energy efficient clustering algorithm in wireless sensor networks using fuzzy logic control,” Humanities, Science and Engineering, pp. 392–397, 2012.
T. Geyer, “Model predictive direct torque control: derivation and analysis of the state-feedback control law,” IEEE Transactions on Industry Applications, vol. 49, no. 5, pp. 2146–2157, 2011.
A. Bemporad, M. Morari, and V. Dua, “The explicit linear quadratic regulator for constrained systems,” Automatica, vol. 38, no. 1, pp. 3–20, 2002.
H. Zhang and W. Zhao, “Decoupling control of steering and driving system for in-wheel-motor-drive electric vehicle,” Mechanical Systems and Signal Processing, vol. 38, pp. 389–404, 2018.
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Recommended by Associate Editor Changsun Ahn under the direction of Editor Myo Taeg Lim. This work was supported in part by the National Natural Science Foundation of China (No.61573133, No.61661015, No.61503128), Guangxi Colleges and Universities Key Laboratory of Cloud Computing and Complex Systems (No.YF16204).
Ke Shi received his B.S. in Hunan University of Science and Technology in 2015. He is currently a Ph.D. student at Hunan University. His research interests include intelligent control theory and application, and electric vehicle stability control.
Xiaofang Yuan received his B.S., M.S. and Ph.D. degrees in electrical engineering all from Hunan University, Changsha, China, in 2001, 2006 and 2008, respectively. He is currently a full Professor at Hunan University. His research interests include intelligent control theory and application, industrial process control, and electric vehicle control.
Qian He received the B.S. in Hunan University in 2001, an M.S. in Guilin University of Electronic Technology in 2004, and a Ph.D. in Beijing University of Posts and Telecommunications in 2011. He is currently a full Professor at Guilin University of Electronic Technology. His research interests include network security and distribute computing.
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Shi, K., Yuan, X. & He, Q. Double-layer Dynamic Decoupling Control System for the Yaw Stability of Four Wheel Steering Vehicle. Int. J. Control Autom. Syst. 17, 1255–1263 (2019). https://doi.org/10.1007/s12555-018-0694-5
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DOI: https://doi.org/10.1007/s12555-018-0694-5