Abstract
A proper tire friction model is essential to describe overall vehicle dynamics for simulation, analysis, or control purposes, since the motion of a ground vehicle is primarily determined by the friction forces transferred from roads via tires. Thus, analysis of tire/road friction can provide us an in-sight understand of vehicle dynamics and help us to improve ride performance [l]–[8].
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Reference
D. F. Moore, The friction of pneumatic tyres, Elsevier Scientific Publishing Co., New York, 1975.
T. French, Tyre Technology, Ed. Adam Hilger, Bristol, 1989.
D. Dowson, History of tribology, Longman Ltd., London, 1998.
B. Feeny, A. Guran, and N. Hinrichs, et. al, “A historical review on dry friction and stick-slip phenomena,” ASME Applied Mechanical Reviews, vol. 51, no. 5, pp. 321–341, 1998.
J. Y. Wong, Theory of ground vehicles, John Wiley & Sons, Inc., New York, 1993.
U. Kiencke and L. Nielsen, Automotive Control System for Engine, Driveline, and Vehicle, Springer. 2000.
W. Hirschberg, G. Rill, and H. Weinfurter, “User-appropriate tyre-modelling for vehicle dynamics in standard and limit situations,” Vehicle System Dynamics, vol. 38, no. 2, pp. 103–125, 2002.
Y. P. Chang, M. El-Gindy, and D. A. Streit, “Literature survey of transient dynamic response tyre models,” International Journal of Vehicle Design, vol. 34, no. 4, pp. 354–386, 2004.
J. Harned, L. Johnston, and G. Scharpf, “Measurement of tire brake force characteristics as related to wheel slip (anti-block) control system design,” SAE Transactions, vol. 78, SAE #690214, pp: 909–925, 1969.
E. Bakker, L. Nyborg, and H. B. Pacejka, “Tire modeling for use in vehicle dynamic studies,” Society of Automotive Engineers, SAE #870421, 1987.
E. Bakker, H. B. Pacejka, and L. Lidner, “A new tire model with an application in vehicle dynamics studies,” Proceedings of International Congress and Exposition, SAE #890087, 1989.
H. B. Pacejka and R. S. Sharp, “Shear force development by pneumatic tires in steady state conditions: a review of modeling aspects,” Vehicle System Dynamics, vol. 20, pp: 121–176, 1991.
P. W. A. Zegelaar and H. B. Pacejka, “The in-plane dynamics of tyres on uneven roads,” Vehicle System Dynamics Supplement, vol. 25, pp. 714–730, 1996.
E. Denti and D. Fanteria, “Models of wheel contact dynamics: an analytical study on the in-plane transient response of a brush model,” Vehicle System Dynamics, vol. 32, pp. 199–225, 2000.
M. Burckhardt, Fahrwerktechnik: Radschlupfregelsysteme, Vogel-Verlag, Germany, 1993.
L. Alvarez and J. Yi, “Adaptive emergency braking control in automated highway systems,” Proceedings of IEEE Conference on Decision and Control, vol. 4, pp: 3740–3745, 1999.
G. Rill, Simulation von Kraftfahrzeugen, Vieweg, 1994.
H. B. Pacejka and E. Bakker, “The magic formula tyre model,” Proceedings of 1st International Colloquium on Tyre Models for Vehicle Dynamics Analysis, pp: 1–18, 1991.
P. Dahl, “A solid friction model,” Technical Report TOR-0158(3107-18)-1, The Aerospace Corporation, El Segundo, CA, 1976.
P. Dahl, “Measurement of solid friction parameters of ball bearings,” Proceedings of 6th Annual Symposium on Incremental Motion, Control Systems and Devices, pp: 49–60, 1977.
P.-A. Bliman and M. Sorine, “Friction modeling by hysteresis operators: application to Dahl, stiction and stribeck effects,” Proceedings of the Conference ‘Models of Hysteresis’, 1991.
P.-A. Bliman and M. Sorine, “A system-theoretic approach of systems with hysteresis: application to friction modeling and compensation,” Proceedings of European Control Conference, 1993.
P.-A. Bliman and M. Sorine, “Easy-to-use realistic dry friction models for automatic control,” Proceedings of European Control Conference, 1994.
C. Canudas de Wit, H. Olsson, and K. J. Astrom, et al, “A new model for control of systems with friction,” IEEE Transactions on Automatic Control, vol. 40, no. 3, pp: 419–425, 1995.
C. Canudas de Wit and P. Tsiotras, “Dynamic tire friction models for vehicle traction control,” Proceedings of IEEE Conference on Decision and Control, vol. 4, pp: 3746–3751, 1999.
H. Olsson, “Control systems with friction,” PhD thesis, Department of Automatic Control, Lund Institute of Technology, Lund, Sweden, 1996.
N. Barabanov and R. Ortega, “Necessary and sufficient conditions for passivity of the LuGre friction model,” IEEE Transactions on Automatic Control, vol. 45, no. 4, pp: 830–832, 2000.
M. Gafvert, “Comparisons of two dynamic friction models,” Proceedings of IEEE International Conference on Control Applications, pp: 386–391, 1997.
H. Olsson, K.J. Astrom, and C. Canudas de Wit, et. al, “Friction models and friction compensation,” European Journal of Control, vol. 4, no. (3), 1998.
J. Deur, “Modeling and analysis of longitudinal tire dynamics based on the LuGre friction model,” Proceedings of 3rd IFAC Workshop Advances in Automotive Control, pp: 101–106, 2001.
J. Deur, “A brush-type dynamic tire friction model for non-uniform normal pressure distribution,” CD-ROM Proceedings of 15th Triennial IFAC World Congress, 2002.
C. Canudas-de-Wit, P. Tsiotras, and E. Velenis, “Dynamic friction models for longitudinal road/tire interaction: theoretical advances,” 21st IASTED Conference on Modelling, Identification and Control, pp: 48–53, 2002.
C. Canudas-de-Wit, P. Tsiotras, and E. Velenis, “Dynamic friction models for longitudinal road/tire interaction: experimental results,” 21st IASTED Conference on Modelling, Identification and Control, 2002.
C. Canudas de Wit, P. Tsiotras, and E. Velenis, et. al, “Dynamic friction models for road/tire longitudinal interaction,” Vehicle System Dynamics, vol. 39, no. 3, pp. 189–226, 2003.
J. Yi, L. Alvarez, and X. Claeys, et. al, “Emergency braking control with an observer-based dynamic tire road friction model and wheel angular velocity measurement,” Vehicle System Dynamics, vol. 39, no. 2, pp. 81–97, 2003.
M. Segel, “Theoretical prediction and experimental substantiation of the response of the automobile to steering control,” Proceedings of Automobile division of the institute of mechanical engineers, vol. 7, pp: 310–330, 1956.
J. Kasselmann and T. Keranen, “Adaptive steering,” Bendix Technical Journal, vol. 2, pp. 26–35, 1969.
J. Ackermann, “Robust car steering by yaw rate control,” Proceedings of the 29th IEEE Conference on Decision and Control, pp: 2033–2034, 1990.
J. Ackermann and W. Dareberg, “Automatic track control of a city bus,” IFAC Theory Report on Benchmark Problems for Control Systems Design, 1990.
B. Breuer, V. Eichorn, and J. Roth, “Measurement of tyre/road friction ahead of car and inside the tyre,” Proceedings of International Symposium on Advanced Vehicle Control, 1992.
Q. Qu and Y. Liu, “On lateral dynamics of vehicles based on nonlinear characteristics of tires,” Vehicle System Dynamics, vol. 34, pp. 131–141, 2000.
E. Ono, S. Hosoe, and D. Tuan, et. al, “Bifurcation in vehicle dynamics and robust front wheel steering control,” IEEE Transactions on Control Systems Technology, vol. 6, no. 3, pp: 412–420, 1998.
J. Stephant, A. Charara, and D. Meizel, “Virtual sensor: application to vehicle sideslip angle and transversal forces,” IEEE Transactions on Industrial Electronics, vol. 51, no. 2, pp: 278–289, 2004.
Y. Furukawa, N. Yuhara, and S. Sano, et. al, “A review of four-wheel steering studies from the viewpoint of vehicle dynamics and control,” Vehicle System Dynamics, no. 18, pp: 151–186, 1989.
P. Raksincharoensak, M. Nagai, and H. Mouri, “Investigation of automatic path tracking control using four-wheel steering vehicle,” Proceedings of the IEEE International Vehicle Electronics Conference, pp: 73–77,2001.
J. Ackermann and W. Sienel, “Robust yaw damping of cars with front and rear wheel steering,” IEEE Transactions on Control Systems Technology, vol. 1, no. 1, pp: 15–20, 1993.
H. Peng and M. Tomizuka, “Lateral control of front-wheel-steering rubber-tire vehicles,” PATH Research Report UCB-ITS-PRR-90-5, 1990.
T. A. Johansen, I. Petersen, J. Kalkkuhl, J. Ludemann, Gain-scheduled wheel slip control in automotive brake systems, IEEE Transactions on Control Systems Technology, vol. 11, pp. 799–811, 2003.
J. P. Maurice, M. Berzeri, and H. B. Pacejka, “Pragmatic tyre model for short wavelength side slip variations,” Vehicle System Dynamics, vol. 31, pp: 65–94, 1999.
J. Stephant, A. Charara, and D. Meizel, “Force model comparison on the wheel-ground contact for vehicle dynamics,” IEEE Intelligent Vehicle Symposium, vol. 2, pp: 589–593, 2002.
G. Mastinu and E. A. Pairana, “A semi-analytical tyre model for steady and transient state simulations, Proceedings of 1st International Colloquium on Tyre Models for Vehicle Dynamics Analysis, pp: 58–81, 1991.
H. B. Pacejka and I. Besseling, “Magic formula tyre model with transient properties,” Proceedings of 2nd International Colloquium on Tyre Models for Vehicle Dynamics Analysis, 1997.
M. Gafvert and J. Svendenius, “Construction of semi-empirical tire models for combined slip,” Technical Report ISRN LUTFD2/TFRT7606SE, Department of Automatic Control, Lund Institute of Technology, Sweden, 2003.
J.-O. Hahn, R. Rajamani, and L. Alexander, “GPS-based real-time identification of tire-road friction coefficient,” IEEE Transactions on Control Systems Technology, vol. 10, no. 3, pp: 331–343, 2002.
D. J. Schilling, W. Pelz, and M. G. Pottinger, “A model for combined tire cornering and braking forces,” Investigations and Analysis in Vehicle Dynamics and Simulation, SAE International, SAE #960180, pp: 61–83, 1996.
G. Gim and P. E. Nikravesh, “An analytical model of pneumatic tyres for vehicle dynamics simulations, Part 2: Comprehensive slips,” International Journal of Vehicle Design, vol. 12, no. 1, pp: 19–39, 1991.
X. Claeys, J. Yi, and L. Alvarez, et. al, “A dynamic tire/road friction model for 3D vehicle control and simulation,” Proceedings of IEEE Intelligent Transportation Systems Conference, pp: 483–488, 2001.
J. Deur, J. Asgari, and D. Hrovat, “A 3D brush-type dynamic tire friction model,” Vehicle System Dynamics, vol. 42, no. 3, pp. 133–173, 2004.
S. Velenis, C. Canudas de Wit, and P. Tsiotras, “Extension of the LuGre Dynamic Friction Model to 2D Motion,” Internal report, Laboratoire d’Automatique de Grenoble, France, 2001.
J. Martinez, J. Avila and C. Canudas, “A new bicycle vehicle model with dynamic contact friction,” First IFAC Symposium on Automotive Control, 2004.
T. L. Ford and F. S. Charles, “Heavy duty truck tire engineering,” SAE #880001, 1988.
E. Gohring, E. C. Von Glasner, and H. C. Pflug, “Contribution to the force transmission behavior of commercial vehicle tires,” SAE #912692, 1991.
M. Gafvert, “Topics in modeling, control, and implementation in automotive systems,” Ph.D. Dissertation, ISSN 0280-5316, ISRN LUTFD2/TFRT-1066-SE, 2003.
G. Mavros, H. Rahnejat and P. King, “Investigation of steady-state tyre force and moment generation under combined longitudinal and lateral slip conditions,” Vehicle System Dynamics, vol. 41, pp. 351–360, 2004.
A. Lawrence, Modern Inertial Technology, Springer Verlag, 1993.
F. Napolitano, T. Gaiffe, and Y. Cottreau, et. al. “PHINS: the first inertial navigation system based on fiber optic gyroscopes,” Proceedings of St Petersbourg International Conference on Navigation Systems, 2002.
R. Usui and A. Ohno, “Recent progress of fiber optic gyroscope and application at JAE,” Optical Fiber Sensors Conference Technical Digest, vol.1, pp: 11–14,2002.
E. Nebot, S. Sukkarieh, and H. Durrant-Whyte, “Inertial navigation aided with GPS information,” Proceedings of the Fourth Annual Conference on Mechatronics and Machine Vision in Practice, pp: 169–174, 1997.
F. X. Cao, D. K. Yang, and A. G. Xu, et. al, “Low cost SINS/GPS integration for land vehicle navigation,” Proceedings of the IEEE 5th International Conference on Intelligent Transportation Systems, pp: 910–913, 2002.
C.-Y. Chan, “Magnetic sensing as a position reference system for ground vehicle control,” IEEE Transactions on Instrumentation and Measurement, 51(1), pp: 43–52, 2002.
J. I. Hernandez and C.-Y. Kuo, “Steering control of automated vehicles using absolute positioning GPS and magnetic markers,” IEEE Transactions on Vehicular Technology, vol. 52, no. 1, pp: 150–161, 2003.
S. M. Donecker, T. A. Lasky, and B. Ravani, “A mechatronic sensing system for vehicle guidance and control,” IEEE/ASME Transactions on Mechatronics, vol. 8, no. 4, pp: 500–510, 2003.
W. S. Wijesoma, K. R. S. Kodagoda, and A. P. Balasuriya, et. al, “Road edge and lane boundary detection using laser and vision,” Proceedings of 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems, vol. 3, pp: 1440–1445, 2001.
U. Eichhorn and J. Roth, “Prediction and monitoring of tyre/road friction,” XXIV FISITA Congress, London, 1992.
B. Breuer, U. Eichhorn, and J. Roth, “Measurement of tyre/road friction ahead of the car and inside the tyre,” Proceedings of International Symposium on Advanced Vehicle Control, pp: 347–353, 1992.
S. Germann, M. Wurtenberger, and A. Daiss, “Monitoring of the friction coefficient between tyre and road surface,” Proceedings of the Third IEEE Conference on Control Applications, vol. 1, pp: 613–618, 1994.
C. Liu and H. Peng, “Road friction coefficient estimation for vehicle path prediction,” Vehicle System Dynamics, vol. 25 Supplement, pp. 413–425, 1996.
F. Gustafsson, “Slip-based tire-road friction estimation,” Automatica, vol. 33, no. 6, pp: 1087–1099, 1997.
F. Gustafsson, “Monitoring tire-road friction using the wheel slip,” IEEE Control Systems Magazine, vol. 18, no. 4, pp: 42–49, 1998.
S. Muller, M. Uchanski, K. Hedrick, “Estimation of the maximum tire-road friction coefficient,” ASME Journal of Dynamic Systems, Measurement, and Control, vol. 125, no. 4, pp: 607–617, 2003.
Kiencke, U. and Daiss, A., “Estimation of tyre friction for enhanced ABS systems,” Proceedings of International Symposium on Advanced Vehicle Control, 1994.
W. Hwang and B.-S. Song, “Road condition monitoring system using tire-road friction estimation,” Proceedings of International Symposium on Advanced Vehicle Control, pp: 437–442, 2000.
J. Wang, L. Alexander, R. Rajamani, “Friction estimation on highway vehicles using longitudinal measurements,” ASME Journal of Dynamic Systems, Measurement, and Control, vol. 126, no. 2, pp: 265–275, 2004.
H. Nishira, T. Kawabe, and S. Shin, “Road friction estimation using adaptive observer with periodical σ-modification,” Proceedings of IEEE International Conference on Control Applications, vol. 1, pp: 662–667, 1999.
K. Yi, K. Hedrick, and S. C. Lee, “Estimation of tire-road friction using observer based identifiers,” Vehicles Systems Dynamics, vol. 31, pp: 233–261, 1999.
C. Canudas de Wit and R. Horowitz, “Observers for tire/road contact friction using only wheel angular velocity information,” Proceedings of IEEE Conference on Decision and Control, vol. 4, pp: 3932–3937, 1999.
J. Yi, L. Alvarez, and R. Horowitz, et. al, “Adaptive emergency braking control using a dynamic tire/road friction model,” Proceedings of IEEE Conference on Decision and Control, vol. 1, pp: 456–461, 2000.
J. Yi, L. Alvarez, and X. Claeys, et. al, “Emergency braking control with an observer-based dynamic tire/road friction model and wheel angular velocity information,” Proceedings of American Control Conference, vol. l, pp: 19–24,2001.
L. Li, F.-Y. Wang, and G. Shan, et. al, “Design of tire fault observer based on estimation of tire/road friction conditions, Automatica Sinica, vol.28, no. 5, pp: 689–694, 2003.
J. R. Zhang, S. J. Xu, and A. Rachid, “Robust sliding mode observer for automatic steering of vehicles,” Proceedings of IEEE Intelligent Transportation Systems, pp: 89–94, 2000.
C. Lee, K. Hedrick, and K. Yi, “Real-time slip-based estimation of maximum tire-road friction coefficient,” IEEE/ASME Transactions on Mechatronics, vol. 9, no. 2, pp: 454–458, 2004.
D. M. Bevly, J. C. Gerdes, and C. Wilson, “The use of GPS based velocity measurements for measurement of sideslip and wheel slip,” Vehicle System Dynamics, vol. 38, no. 2, pp. 127–147, 2002.
R. Daily and D. M. Bevly, “The use of GPS for vehicle stability control systems,” IEEE Transactions on Industrial Electronics, vol. 51, no. 2, pp: 270–277, 2004.
W. Sienel, “Estimation of the tire cornering stiffness and its application to active car steering,” Proceedings of IEEE Conference on Decision and Control, vol. 5, pp: 4744–4749, 1997.
S. Saraf and M. Tomizuka, “Slip angle estimation for vehicles on automated highways,” Proceedings of American Control Conference, vol. 3, pp: 1588–1592, 1997.
L. R. Ray, “Nonlinear tire force estimation and road friction identification: simulation and experiments,” Automatica, vol. 33, no. 10, pp: 1819–1833, 1997.
L. R. Ray, “Experimental determination of tire forces and road friction,” Proceedings of American Control Conference, vol. 3, pp: 1843–1847, 1998.
B. Samadi, R. Kazemi, and K. Y. Nikravesh, et. al, “Real-time estimation of vehicle state and tire-road friction forces,” Proceedings of American Control Conference, vol. 5, pp: 3318–3323, 2001.
K. Huh, J. Kim, and K. Yi, et. al, “Monitoring system design for estimating the lateral tire force,” Proceedings of American Control Conference, vol. 2, pp: 875–880, 2002.
Kimbrough, S., “A brake control strategy for emergency stops that involve steering: Part 1 theory,” Proceedings of the 2nd Symposium on Transportation Systems, 1990 ASME Winter Annual Meeting, 1990.
Kimbrough, S., “A brake control strategy for emergency stops that involve steering: Part 2 implementation issues and simulation results,” Proceedings of the 2nd Symposium on transportation Systems, 1990 ASME Winter Annual Meeting, 1990.
R. Emig, H. Goebels, and H. J. Schramm, “Antilock braking systems (ABS) for commercial vehicles-status 1990 and future prospects,” Vehicle Electronics in the 90’s: Proceedings of the International Congress on Transportation Electronics, pp: 515–523, 1990.
R. Bosch, Automotive handbook, Robert Bentley, Publisher, 4th ed, 1997.
M. Schinkel and K. Hunt, “Anti-lock braking control using a sliding mode like approach,” Proceedings of American Control Conference, vol. 3, pp: 2386–2391, 2002.
P. E. Wellstead and N. B. O. L. Pettit, “Analysis and redesign of an anti-lock brake system controller,” IEE Proceedings-Control Theory and Applications, vol. 144, no. 5, pp: 413–426, 1997.
P. Tsiotras and C. Canudas-de-Wit, “On the optimal braking of wheeled vehicles,” Proceedings of American Control Conference, vol. 1, no. 6, pp: 569–573, 2000.
D. Zhang, H. Zheng, and J. Sun, et. al, “Simulation study for anti-lock braking system of a light bus,” Proceedings of the IEEE International Vehicle Electronics Conference, pp: 70–77, 1999.
S. Drakunov, U. Ozguner, and P. Dix, et. al, “ABS control using optimum search via sliding modes,” IEEE Transactions on Control Systems Technology, vol. 3, no. 1, pp: 79–85, 1995.
M. Krstik and H.-H. Wang, “Design and stability analysis of extremum seeking feedback for general nonlinear systems,” Proceedings of IEEE Conference on Decision and Control, pp. 1743–1748, 1997.
I. Petersen, T. A. Johansen, and J. Kalkkuhl, et. al, “Wheel slip control using gain-scheduled LQ-LPV/LMI analysis and experimental results,” European Control Conference, 2003.
S. Taheri and E. H. Law, “Slip control braking of an automobile during combined braking and steering manoeuvres,” Advanced Automotive Technologies, vol. 40, pp: 209–227, 1991.
K. Yi, K. Hedrick, and S. Lee “Estimation of tire-road friction using observer based identifiers,” Vehicle System Dynamics, vol. 31, no. 4, pp: 233–261, 1999.
T. Shim and D. Margolis, “Model-based road friction estimation,” Vehicle System Dynamics, vol. 41, no. 4, pp: 249–276, 2004.
W.R. Pasterkamp and H. B. Pacejka, “Application of neural networks in the estimation of tire/road friction using the tire as a sensor,” SAE #971122,1997.
M. Beato, V. Ciaravola, and M. Russo, et. al, “Lateral tyre force by a milliken test on a flat track roadway simulator,” Vehicle System Dynamics, vol. 34, pp. 117–129,2000.
J. A. Cabrera, A. Ortiz, and E. Carabias, et. al, “An alternative method to determine the magic tyre model parameters using genetic algorithms,” Vehicle System Dynamics, vol. 41, no. 2, pp: 109–127, 2004.
H. S. Bae, J. Ryu, and J. C. Gerdes, “Road grade and vehicle parameter estimation for longitudinal control using GPS,” Proceedings of IEEE Conference on Intelligent Transportation Systems, pp: 166–171, 2001.
W. R. Patserkamp and H. B. Pacejka, “The tire as a sensor to estimate friction,” Vehicle System Dynamics, vol. 27, pp. 409–422, 1997.
A. Pohl, R. Steindl, and L. Reindl, “The “intelligent tire” utilizing passive SAW sensors measurement of tire friction,” IEEE Transactions on Instrumentation and Measurement, vol. 48, no. 6, pp: 1041–1046, 1999.
A. Pohl, “A review of wireless SAW sensors,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, vol. 47, no. 2, pp: 317–332, 2000.
M. Mizuno, H. Sakai, and K. Oyama, et. al, “The development of the tire side force model considering the dependence of surface temperature of tire,” Vehicle System Dynamics, vol. 41, pp. 361–370, 2004.
L. Li, and F.-Y. Wang, “Research advances in vehicle lateral motion monitoring and control,” International Journal of Intelligent Control and Systems, vol. 9, no. 3, 2004.
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(2007). Advanced Tire Friction Modeling and Monitoring. In: Advanced Motion Control and Sensing for Intelligent Vehicles. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-44409-3_2
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