Review of Modern Vehicle Modelling


  • F. Sandhu Faculty of Electrical Engineering, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia.
  • H. Selamat Faculty of Electrical Engineering, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia.
  • V. B. S. Mahalleh Faculty of Electrical Engineering, Universiti Teknologi Malaysia, 81310 Skudai, Johor, Malaysia.


Parameter Estimation, Vehicle Models, Tire Modelling, Estimation


Earlier models were a simplified form of the complex vehicle system, which was governed by the important parameters and states. These parameters and states were either obtained indirectly through some simplified equations or directly measured using instrumentation. In either case, the models were designed on the basis of parameters and state availability or importance, and not to have a complete model representation and maximum parameter utilization through estimation and instrumentation. Since a complete vehicle model can lead to a better controller. Without considering all the important parameters, a complete model is not obtained to design better controllers. All types of controllers, classical, optimal, nonlinear and linear controllers use the basic equations that govern the vehicle dynamics. This paper reviews all the previous models with greater insight into each system. The aim is to provide a better understanding of each model, its shortcomings and how it can represent the complex vehicle model.


D. M. Bevly and S. Cobb, GNSS for Vehicle Control, Artech House, 3rd Edition, 2010, pp. 81-89.

Farrelly, Jim, and Peter Wellstead. "Estimation of vehicle lateral velocity." Proceedings of the IEEE International Conference on Control Applications, 1996, pp. 552-557.

Rajamani, R., Vehicle dynamics and control. Springer Science & Business Media. 2nd Edition, May2005

Tchamna, R., and I. Youn."Yaw rate and side-slip control considering vehicle longitudinal dynamics." International Journal of Automotive Technology, vol 14, no. 1, 2013, pp. 53-60.

Bevly, David M., Jihan Ryu, and J. Christian Gerde. "Integrating INS sensors with GPS measurements for continuous estimation of vehicle sideslip, roll, and tire cornering stiffness." IEEE Transactions on Intelligent Transportation Systems, vol 7, no. 4, 2006, pp. 483-493.

Oh, Jiwon, and Seibum B. Choi. "Design of a new composite observer for vehicle velocity and attitude estimation." IASTED Int. Conf on Control and Applications, Vancouver, BC, Canada, vol. 102109, 2011.

Cho, Kwanghyun, Hyunwoo Son, Seibum B. Choi, and Sukchang Kang. "Lateral acceleration compensation of a vehicle based on roll angle estimation." IEEE International Conference on Control Applications (CCA), 2010, pp. 1363-1368.

Yi, K., and B. S. Song. "A new adaptive sky-hook control of vehicle semi-active suspensions." Proceedings of the Institution of Mechanical Engineers, part D: Journal of automobile engineering, vol 213, no. 3, 1999, pp. 293-303.

Lai, Chun Yu, and Wei-Hsin Liao. "Vibration control of a suspension system via a magnetorheological fluid damper." Journal of Vibration and Control, vol 8, no. 4, 2002.

Yao, G. Z., F. F. Yap, G. Chen, WHo Li, and S. H. Yeo. "MR damper and its application for semi-active control of vehicle suspension system." Mechatronics, vol 12, no. 7, 2002, pp. 963-973.

Ray, Laura R. "Nonlinear tire force estimation and road friction identification: simulation and experiments." Automatica, vol. 33, no. 10 1997, pp. 1819-1833.

Bae, Hong S., Jihan Ryu, and J. Christian Gerdes. "Road grade and vehicle parameter estimation for longitudinal control using GPS." Proceedings of the IEEE Conference on Intelligent Transportation Systems, 2001, pp. 25-29.

Zareh, Seiyed Hamid, Atabak Sarrafan, Ali Fellah Jahromi, and Amir Ali Khayyat. "Linear quadratic Gaussian application and clipped optimal algorithm using for semi-active vibration of passenger car." IEEE International Conference on Mechatronics (ICM), 2011, pp. 122-127.

Sandhu, Fargham, Hazlina Selamat, and Yahya Sam. "Linear quadratic regulator and skyhook application in semiactive MR damper full car model." IEEE 10th Asian Control Conference (ASCC), 2015, pp. 1-7.

Jahromi, Ali Fellah, and A. Zabihollah. "Linear quadratic regulator and fuzzy controller application in full-car model of suspension system with magnetorheological shock absorber." IEEE/ASME International Conference on Mechatronics and Embedded Systems and Applications (MESA), 2010, pp. 522-528.

Fallah, M. S., R. Bhat, and W. F. Xie. "New model and simulation of Macpherson suspension system for ride control applications." Vehicle System Dynamics, vol 47, no. 2, 2009, pp. 195-220.

Stensson, Annika, Christer Asplund, and Lennart Karlsson. "The nonlinear behavior of a Macpherson strut wheel suspension." Vehicle system dynamics, vol 23, no. 1, 1994, pp. 85-106.

Chen, Kaiyu, and David G. Beale. "Base dynamic parameter estimation of a MacPherson suspension mechanism." Vehicle System Dynamics, vol 39, no. 3, 2003, pp. 227-244.

Kachroo, Pushkin, and Masayoshi Tomizuka. "Vehicle traction control and its applications." California Partners for Advanced Transit and Highways (PATH), 1994.

Fiala, E. "Lateral forces on rolling pneumatic tires." Zeitschrift VDI 96, no. 29, 1954.

Pacejka, Hans B., and Egbert Bakker. "The magic formula tire model", Vehicle system dynamics, vol 21, no. S1, 1992, pp. 1-18.

Pacejka, H. B., and I. J. M. Besselink. "Magic formula tire model with transient properties." Vehicle system dynamics,vol 27, no. S1, 1997, pp. 234-249.

Acarman, Tankut. "Nonlinear optimal integrated vehicle control using individual braking torque and steering angle with on-line control allocation by using state-dependent Riccati equation technique." Vehicle System Dynamics, vol 47, no. 2, 2009.

Mauer, Georg F. "A fuzzy logic controller for ABS braking system." IEEE Transactions on Fuzzy Systems, vol 3, no. 4, 1995, pp. 381-388.

Boada, B. L., M. J. L. Boada, and V. Diaz. "Fuzzy-logic applied to yaw moment control for vehicle stability." Vehicle System Dynamics, vol 43, no. 10, 2005, pp. 753-770.

Esmailzadeh, E., A. Goodarzi, and G. R. Vossoughi. "Optimal yaw moment control law for improved vehicle handling." Mechatronics, vol 13, no. 7, 2003, pp. 659-675.

N. Hamzah, Y.M. Sam, H. Selamat &M.K. Aripin, “GA-based Sliding Mode Controller for Yaw Stability Improvement.” Asian control conference, 24-27 June, Turkey, 2013.

Sandhu, Fargham, Hazlina Selamat, and Vahid Behtaji Siahkal Mahalleh. "Direct Yaw Control of Vehicle using State Dependent Riccati Equation with Integral Terms." Advances in Electrical and Computer Engineering 16.2, 2016.

Nagai, Masao, Yutaka Hirano, and Sachiko Yamanaka. "Integrated control of active rear wheel steering and direct yaw moment control." Vehicle System Dynamics 27, no. 5-6, 1997, pp. 357-370.

Cho, Wanki, Jangyeol Yoon, Jeongtae Kim, Jaewoong Hur, and Kyongsu Yi. "An investigation into unified chassis control scheme for optimized vehicle stability and manoeuvrability." Vehicle System Dynamics vol 46, no. S1, 2008, pp. 87-105.

Yu, J. S. "A robust adaptive wheel-slip controller for antilock brake system." Proceedings of the IEEE Conference on Decision and Control, vol. 3, 1997, pp. 2545-2546.

Sandhu, Fargham, Hazlina Selamat, and Yahaya Md Sam. "Antilock Braking System Using Dynamic Speed Estimation." Jurnal Teknologi vol 72, no. 2, 2015.

Vahidi, Ardalan, Maria Druzhinina, Anna Stefanopoulou, and Huei Peng. "Simultaneous mass and time-varying grade estimation for heavy-duty vehicles." Proceedings of the American Control Conference, vol. 6, 2003, pp. 4951-4956.

Chandrasekaran, Gayathri, Tam Vu, Alexander Varshavsky, Marco Gruteser, Richard P. Martin, Jie Yang, and Yingying Chen. "Vehicular speed estimation using received signal strength from mobile phones." Proceedings of the ACM international conference on Ubiquitous computing, ACM, 2010, pp. 237-240.

Bevly, David M. "Global positioning system (GPS): A low-cost velocity sensor for correcting inertial sensor errors on ground vehicles." Journal of dynamic systems, measurement, and control, vol. 126, no. 2, 2004, pp. 255-264.

Won, Dae Hee, Sebum Chun, Sangkyung Sung, Young Jae Lee, Jeongho Cho, Jungmin Joo, and Jungkeun Park. "INS/vSLAM system using distributed particle filter. " International Journal of Control, Automation and Systems, vol. 8, no. 6, 2010.

Imsland, Lars, Håvard Fjær Grip, Tor A. Johansen, Thor I. Fossen, Jens C. Kalkkuhl, and Avshalom Suissa. "Nonlinear observer for vehicle velocity with friction and road bank angle adaptation–validation and comparison with an extended Kalman filter." SAE Technical Paper 2007-01-0808, 2007.

Solmaz, Selim, Mehmet Akar, and Robert Shorten. "Online center of gravity estimation in automotive vehicles using multiple models and switching." International Conference on Control, Automation, Robotics and Vision, 2006, pp. 1-7.

Canale, Massimo, Lorenzo Fagiano, and Carlo Novara. "Vehicle side-slip angle estimation using a direct MH estimator," IEEE International Conference on Control Applications, 2010.

Oh, Jiwon, and Seibum B. Choi. "Vehicle roll and pitch angle estimation using a cost-effective six-dimensional inertial measurement unit. "Proc- eedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol 227, no. 4, 2013.

Grip, Håvard Fjær, Lars Imsland, Tor A. Johansen, Jens C. Kalkkuhl, and Avshalom Suissa. "Vehicle sideslip estimation." Control Systems, IEEE, vol29, no. 5, 2009, pp. 36-52.

Bevly, David M., J. Christian Gerdes, Christopher Wilson, and Gengsheng Zhang. "The use of GPS based velocity measurements for improved vehicle state estimation." Proceedings of the American Control Conference, vol. 4, 2000, pp. 2538-2542.

Abdulrahim, Mujahid. "On the dynamics of automobile drifting." SAE Technical Paper, vol 1, 2006, pp. 10-19.

Johansen, Tor A., Idar Petersen, Jens Kalkkuhl, and Jens Lüdemann. "Gain-scheduled wheel slip control in automotive brake systems." IEEE Transactions on Control Systems Technology, vol 11, no. 6, 2003, pp. 799-811.

Ding, Nenggen, and Saied Taheri. "An adaptive integrated algorithm for active front steering and direct yaw moment control based on direct Lyapunov method." Vehicle System Dynamics, vol. 48, no. 10, 2010, pp. 1193-1213.

Chandrasekar, J., A. J. Ridley, and D. S. Bernstein. "A comparison of the extended and unscented Kalman filters for discrete-time systems with non-differentiable dynamics." Proceedings of the 2007 American Control Conference, 2007, vol. Rn 2, 2007, pp. 4-8.




How to Cite

Sandhu, F., Selamat, H., & Mahalleh, V. B. S. (2016). Review of Modern Vehicle Modelling. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 8(11), 111–117. Retrieved from