Abstract
In order to improve steering and roll stability for a heavy vehicle, a novel MIMO (multi-input-multi-output) controller is proposed based on an AMFC theory. A vehicle model considering the lateral motion, yaw motion and roll motion is developed. The establishment of reference models, controlled models and iteration algorithm of the feed-back matrix are presented. The Newton iteration method is used to correct the feed-back matrix in the real time, and the ideal control signal is calculated by the integral feed-forward matrix. The state of controlled model can approach reference model to achieve an adaptive online update for the steering control parameters under the transient conditions. The proposed AMFC have a good improvement in reducing side-slip angle, yaw rate and roll angle. The simulation and HIL experiments demonstrate the effectiveness and reliability of the proposed controller in improving the yaw stability and thus preventing rollover when necessary.
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References
WHO, Global Status Report on Road Safety 2018, World Health Organization, Geneva (2018) 347.
NHTSA (National Highway Traffic Safety Administration), Traffic Safety Facts 2009: A Compilation of Motor Vehicle Crash Data from the Fatality Analysis Reporting System and the General Estimates System, US Department of Transportation, Washington, D.C. (2011) 61–65.
D. Frede, M. Khodabakhshian and D. Malmquist, A State-of-the-Art Survey on Vehicular Mechatronics Focusing on by-Wire Systems, KTH Royal Institute of Technology, Stockholm (2010).
C. J. Kahane, Updated Estimates of Fatality Reduction by Electronic Stability Control, Evaluation Note DOT HS 812 020, National Highway Traffic Safety Administration, US Department of Transportation, Washington, D.C. (2014).
M. Abe and W. Manning, Vehicle Handling Dynamics: Theory and Application, 2nd Edition, Oxford, Butterworth-Heinemann Ltd. (2015).
G. D. Yin, R. R. Wang and J. M. Wang, Robust control for four wheel independently-actuatedelectric ground vehicles by external yaw-moment generation, International Journal of Automotive Technology, 16 (5) (2015) 839–847.
M. B. Alberding, J. Tjønnås and T. A. Johansen, Integration of vehicle yaw stabilisation and rollover prevention through nonlinear hierarchical control allocation, Vehicle System Dynamics, 52 (12) (2014) 1607–1621.
H. Her et al., An integrated control of differential braking, front/rear traction, and active roll moment for limit handling performance, IEEE Transactions on Vehicular Technology, 65 (6) (2016) 4288–4300.
S. F. van der Westhuizen and P. S. Els, Slow active suspension control for rollover prevention, Journal of Terramechanics, 50 (1) (2013) 29–36.
R. Tchamna, E. Youn and I. Youn, Combined control effects of brake and active suspension control on the global safety of a full-car nonlinear model, Vehicle System Dynamics, 52 (sup1) (2014) 69–91.
X. Y. Xie, L. S. Ji and B. C. Guo, Integrated dynamics control system with ESC and RAS for a distributed electric vehicle, IEEE Access, 6 (2018) 18694–18704.
N. Elmi, A. Ohadi and B. Samadi, Active front-steering control of a sport utility vehicle using a robust linear quadratic regulator method, with emphasis on the roll dynamics, Proceedings of the institution of mechanical engineers, Part D: Journal of Automobile Engineering, 227 (12) (2013) 1636–1649.
K. Tagesson et al., Improving directional stability control in a heavy truck by combining braking and steering action, 14th International Symposium on Heavy Vehicle Transport Technology (HVTT14), Rotorua, New Zealand (2016).
H. Qiu and Q. Zhang, Feedforward-plus-proportional-integral-derivative controller for an off-road vehicle electrohydraulic steering system, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 217 (5) (2003) 375–382.
K. Hudha, Z. A. Kadir and H. Jamaluddin, Simulation and experimental evaluations on the performance of pneumatically actuated active roll control suspension system for improving vehicle lateral dynamics performance, Journal of Vehicle Design, 64 (1) (2013) 72–100.
M. F. Omar et al., Optimal direct yaw control for sport utility vehicle using PSO, 2018 9th IEEE Control and System Graduate Research Colloquium (ICSGRC) (2018) 211–216.
T. Yoshimura, Discrete-time adaptive sliding mode controller for vehicle steering systems with preview, Journal of Vibration and Control, 19 (10) (2013) 1587–1600.
Y. Tansel, D. L. T. Gerardo and N. J. Eric, Improving transient performance of adaptive control architectures using frequency-limited system error dynamics, International Journal of Control, 87 (11) (2014) 2383–2397.
N. Esmaeili and R. Kazemi, Development of the active disturbance rejection control method for increasing the stability of the long articulated vehicle, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 233 (13) (2019) 3554–3576.
M. J. Corless et al., Model-following controls for a class of uncertain dynamical systems, Proceedings of 7th IFAC Symposium Identification and System Parameter Estimation (1985) 1895–1899.
H. Wu, Robust tracking and model following for a class of uncertain dynamical systems by variable structure control, Proceedings of the 2000 IEEE International Conference on Control Applications, Anchorage (2000) 680–685.
R. Tanaka et al., An approach to model-following controller design based on a stabilized digital inverse system, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 229 (9) (2015) 829–837.
I. Mitsuaki, N. Masatoshi and N. Kazuhide, Nonlinear adaptive model following control for a 3-DOF tandem-rotor model helicopter, Control Engineering Practice, 18 (8) (2010) 936–943.
H. C. Yu and T. S. Liu, Adaptive model-following control for slim voice coil motor type optical image stabilization actuator, Journal of Applied Physics, 103 (2008) 21.
R. J. Pawar and B. J. Parvat, MRAC and modified MRAC controller design for level process control, 2018 Indian Control Conference (ICC), Kanpur (2018) 217–222.
L. K. Chen and Y. A. Shieh, Prevention for articulated vehicles using model reference adaptive control, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 225 (1) (2011) 28–42.
C. D. Makavita et al., Predictor-based model reference adaptive control of an unmanned underwater vehicle, 14th International Conference on Control, Automation, Robotics and Vision (ICARCV), Phuket (2016) 1–7.
R. B. Yamin, I. Yaesh and U. Shaked, Robust simple adaptive model following for linear time-delay systems with guaranteed H∞ performance, IMA Journal of Mathematical Control and Information, 27 (4) (2010) 475–491.
N. Hirotaka et al., Perfect model-following system using active disturbance rejection control, 2017 IEEE 26th International Symposium on Industrial Electronics (ISIE) (2017) 533–5387.
J. Yoon et al., Design and evaluation of a unified chassis control system for rollover prevention and vehicle stability improvement on a virtual test track, Control Engineering Practice, 18 (6) (2010) 585–597.
L. Li, Y. S. Lu and R. R. Wang, A three-dimensional dynamics control framework of vehicle lateral stability and rollover prevention via active braking with MPC, IEEE Transactions on Industrial Electronics, 64 (2017) 3389–3401.
Acknowledgments
This work was supported by National Natural Science Foundation of China (Grant Nos. 12072204,11572207, 11972238, 11872255), Natural Science Foundation of Hebei Province (Grant No. A2020210039, A2016210103) and Service Center for Experts and Scholars of Hebei Province.
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Yongjie Lu received Ph.D. degree in Vehicle Operation Engineering from Beijing Jiaotong University, China, in 2011. Now she works at Shijiazhuang Tiedao University as a Professor. Her current research interests include vehicle-road interaction dynamics and control.
Junning Zhang received Master degree in Mechanic Engineering from Shijiazhuang Tiedao University, China, in 2017. Now he is studying for Ph.D. degree in Shijiazhuang Tiedao University. His current research interests include vehicle dynamics and active control.
Haoyu Li received Ph.D. degree in Vehicle Engineering from Beijing Jiaotong University, China, in 2011. Now she works at Shijiazhuang Tiedao University as a Professor. Her current research interests include road structural modelling and simulation.
Yinfeng Han is studying for a Master’s degree in Shijiazhuang Tiedao University. His current research interests include vehicle dynamics and estimation of road adhesion coefficient.
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Lu, Y., Zhang, J., Li, H. et al. A novel adaptive model following controller to enhance steering and roll stability of heavy vehicle. J Mech Sci Technol 35, 5287–5297 (2021). https://doi.org/10.1007/s12206-021-1102-2
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DOI: https://doi.org/10.1007/s12206-021-1102-2