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Identification of maximum road friction coefficient and optimal slip ratio based on road type recognition
Chinese Journal of Mechanical Engineering volume 27, pages 1018–1026 (2014)
Abstract
The identification of maximum road friction coefficient and optimal slip ratio is crucial to vehicle dynamics and control. However, it is always not easy to identify the maximum road friction coefficient with high robustness and good adaptability to various vehicle operating conditions. The existing investigations on robust identification of maximum road friction coefficient are unsatisfactory. In this paper, an identification approach based on road type recognition is proposed for the robust identification of maximum road friction coefficient and optimal slip ratio. The instantaneous road friction coefficient is estimated through the recursive least square with a forgetting factor method based on the single wheel model, and the estimated road friction coefficient and slip ratio are grouped in a set of samples in a small time interval before the current time, which are updated with time progressing. The current road type is recognized by comparing the samples of the estimated road friction coefficient with the standard road friction coefficient of each typical road, and the minimum statistical error is used as the recognition principle to improve identification robustness. Once the road type is recognized, the maximum road friction coefficient and optimal slip ratio are determined. The numerical simulation tests are conducted on two typical road friction conditions(single-friction and joint-friction) by using CarSim software. The test results show that there is little identification error between the identified maximum road friction coefficient and the pre-set value in CarSim. The proposed identification method has good robustness performance to external disturbances and good adaptability to various vehicle operating conditions and road variations, and the identification results can be used for the adjustment of vehicle active safety control strategies.
References
WANG Bo, SUN Renyun, XU Yanhai, et al. Road surface condition identification approach with consideration of road roughness[J]. Journal of Mechanical Engineering, 2012, 48(12): 127–133. (in Chinese)
LI K, MISENER J A, HEDRICK K. On-board road condition monitoring system using slip-based tyre-road friction estimation and wheel speed signal analysis[J]. Proc. IMechE Part K: J. Multi-body Dynamics, 2007, 221(1): 129–146.
LIU Chiashang, PENG Huei. Road friction coefficient estimation for vehicle path prediction[J]. Vehicle System Dynamics, 1996, 25: 413–425.
CANUDAS C, TSIOTRAS P, VELENIS E, et al. Dynamic friction models for road/tire longitudinal interaction[J]. Vehicle System Dynamics, 2002, 39(3): 1–35.
UCHANSKI M, MULLER S, HEDRICK K. Estimation of the maximum tire-road friction coefficient[J]. Journal of Dynamic System, Measurement, and Control, 2003, 125(12): 607–617.
CARL W. Friction measurement methods and correlation between road friction and traffic safety: A literature review[R]. Stockholm, Swedish National Road and Transport Research Institute, 2001.
BREUER B, EICHHORN U, ROTH J. Measurement of tyre/road-friction ahead of the car and inside the tyre[C]//International Symposium on Advanced Vehicle Control, Yokohama, Japan, 1992: 347–353.
TUONONEN A. On-board estimation of dynamic tyre forces from optically measured tyre carcass deflections[J]. International Journal of Heavy Vehicle Systems, 2009, 16(3): 362–378.
BÖRGESON J. Sensor data fusion based estimation of tyre-road friction to enhance collision avoidance[D]. Tampere: Tampere University of Technology, 2010.
EICHHORN U, ROTH J. Prediction and monitoring of tyre/road friction[C]//Proceedings FISITA Congress, London, UK, 1992: 67–74.
WANG Junming, AGRAWAL P, ALEXANDER L. An experimental study with alternate measurement systems for estimation of tire-road friction coefficient[C]//Proceeding of the American Control Conference, Denver, Colorado, 2003, 6: 4957–4962.
EDOARDO S, LENONIDAS K, FEDERICO C. On the impact of the maximum available tire-road friction coefficient awareness in a brake-based torque vectoring system[G]. SAE Paper, No. 2010-01-0116, 2010: 423–434.
GURKAN E, LEE A, RAJESH R. Estimation of tire-road friction coefficient using a novel wireless piezoelectric tire sensor[J]. Sensors Journal, 2011, 11(2): 267–279.
KANWAR B S, MUSTAFA A, SAIED T. Enhancement of collision mitigation braking system performance through real-time estimation of tire-road friction coefficient by means of smart tires[G]. SAE Int. J. Passenger Cars-Electrronic System, 2012, 5(2): 607–624.
FREDRIK G. Slip-based tire-road friction estimation[J]. Auromaricu, 1997, 33(6): 1087–1099.
CHANKU L, HEDRICK K, KYONGSU Y. Real-time slip-based estimation of maximum tire-road friction coefficient[J]. IEEE/ASME Transactions on Mechatronics, 2004, 9(2): 454–458.
JORGE V, BRIGITEE D, MICHEL F, et al. A diagnosis-based approach for tire-road forces and maximum friction estimation[J]. Control Engineering Practice, 2011, 19(2): 174–184.
LAURA R. Real-time determination of road coefficient of friction for IVHS and advanced vehicle control[C]//Proceedings of American control conference, Seattle, WA, 1995: 2133–2137.
RAJESH R, PHANOMCHOENG G, PIYABONGKARN D, et al. Agorithms for real-time estimation of individual wheel tire-road friction coefficients[J]. ASME Transactions on Mechatronics, 2011, 17(6): 1–13.
LIU Guofu, ZHANG Qi, WANG Yueke, et al. A study on calculation of optimal slip ratio in anti-lock braking system[J]. Automotive Engineering, 2004, 26(3): 302–305. (in Chinese)
TANELLI M, PIRODDI L, PIURI M, et al. Real-time identification of tire-road friction conditions[C]//17th IEEE International Conference on Control Applications, San Antonio, TX, 2008: 25–30.
RICARDO D, ESTEVES A, JAIME S, et al. A new linear parametrization for peak friction coefficient estimation in real time[C]//Vehicle Power and Propulsion Conference, Lille, France, 2010: 1–6.
HEDRICK K, UCHANSKI M, MULLER S. Monitoring of the friction coefficient between tyre and road surface[C]//Proceedings of IEEE Conference on Control Applications, Glasgow, UK, 1994: 613–618.
ONO E, ASANO K, SUGAI M, et al. Estimation of automotive tire force characteristics using wheel velocity[J]. Control Engineering Practice, 2003, 13(11): 1361–1370.
LI Liang, LI Hongzhi, SONG Jian, et al. Road friction estimation under complicated maneuver conditions for active yaw control[J]. Chinese Journal of Mechanical Engineering, 2009, 22(4): 514–520.
CHENG Q, ALESSANDRO C, ALI C. A new nonlinear observer using unscented Kalman filter to estimate sideslip angle, lateral tire road forces and tire road friction coefficient[C]//IEEE Intelligent Vehicles Symposium, Baden-Baden, Germany, 2011: 195–204.
HAHN J, RAJAMANI R, ALEXANDER L. GPS-based real-time identification of tire-road friction coefficient[J]. IEEE Transactions in Control Systems Technology, 2002, 10(3): 331–343.
IMSLAND L, JOHANSEN T, FOSSEN T, et al. Vehicle velocity estimation using nonlinear observers[J]. Automatica, 2006, 42(12): 2091–2103.
MENDEL J. Lessons in estimation theory for signal processing, communication, and control[M]. Frentice Hall, Inc., Englewood Hill, New Jersey, 1995.
BURCKHARDT M. Chassis technology: wheel slip control technology[M]. Vogel Verlag, 1993.
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Supported by National Hi-tech Research and Development Program of China (863 Program, Grant No. 2006AA110101)
GUAN Hsin, born in 1961, is currently a professor and a PhD candidate supervisor at State Key Laboratory of Automotive Simulation and Control, Jilin University, China. He received his PhD degree from Jilin University, China, in 1992. His research interests include vehicle dynamic simulation and control.
WANG Bo, born in 1987, is currently a PhD candidate at State Key Laboratory of Automotive Simulation and Control, Jilin University, China. His research interests include vehicle dynamic simulation and control.
LU Pingping, born in 1982, is currently a lecturer at Jilin University, China. She received her PhD degree from Jilin University, China, in 2012. Her research interests include vehicle dynamic simulation and control.
XU Liang, born in 1987, is currently a PhD candidate at State Key Laboratory of Automotive Simulation and Control, Jilin University, China. His research interests include vehicle dynamic simulation.
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Guan, H., Wang, B., Lu, P. et al. Identification of maximum road friction coefficient and optimal slip ratio based on road type recognition. Chin. J. Mech. Eng. 27, 1018–1026 (2014). https://doi.org/10.3901/CJME.2014.0725.128
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DOI: https://doi.org/10.3901/CJME.2014.0725.128