International Journal of Automotive Technology

, Volume 18, Issue 6, pp 983–992 | Cite as

Direct tire force generation algorithm based on non-iterative nonlinear inverse tire model

  • Boryeon Kang
  • Changsun Ahn


The function of vehicle dynamics control system is adjusting the yaw moment, the longitudinal force and lateral force of a vehicle body through several chassis systems, such as brakes, steering and suspension. Individual systems such as ESC, AFS and 4WD can be used to achieve desired performance by controlling actuator variables. However, integrated chassis control systems that have multiple objectives may not simply achieve the desired performance by controlling the actuators directly. Usually those systems determine the required tire forces in an upper level controller and a lower level controller regulates the tire forces through the actuators. The tire force is controlled in a recursive way based on vehicle state measurement, which may not be sufficient for fast response. For immediate force tracking, we introduce a direct tire force generation method that uses a nonlinear inverse tire model, a pseudo-inverse model of vehicle dynamics and the relationship between longitudinal force and brake pressure.

Key words

Inverse tire model Extended brush model Direct force generation Chassis control 


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  1. Cho, W., Choi, J., Kim, C., Choi, S. and Yi, K. (2012). Unified chassis control for the improvement of agility, maneuverability, and lateral stability. IEEE Trans. Vehicular Technology 61, 3, 1008–1020.CrossRefGoogle Scholar
  2. Cho, W., Yoon, J., Kim, J., Hur, J. and Yi, K. (2008). An investigation into unified chassis control scheme for optimised vehicle stability and manoeuvrability. Vehicle System Dynamics 46, Supplement 1, 87–105.CrossRefGoogle Scholar
  3. Furukawa, Y. and Abe, M. (1997). Advanced chassis control systems for vehicle handling and active safety. Vehicle System Dynamics 28, 2–3, 59–86.CrossRefGoogle Scholar
  4. Huh, K. and Kim, J. (2001). Active steering control based on the estimated tire forces. J. Dynamic Systems, Measurement, and Control 123, 3, 505–511.CrossRefGoogle Scholar
  5. Jiang, W., Yu, Z. and Zhang, L. (2006). Integrated chassis control system for improving vehicle stability. IEEE Int. Conf. Vehicular Electronics and Safety, 295–298.Google Scholar
  6. Joa, E., Yi, K. and Kim, K. (2015). Integrated chassis control of 4WD, ESC, ECS for limit handling. Trans. Korean Society of Mechanical Engineers 2015, 11, 1767–1771.Google Scholar
  7. Kang, B., Cho, W. and Ahn, C. (2015). Nonlinear tire inverse model for integrated chassis control system. Int. Conf. Control, Automation and Systems, 2026–2030.Google Scholar
  8. Kim, H., Lee, H. and Jeong, J. (2006). Unified chassis control for the vehicle having AFS, ESP and active suspension. Spring Conf. Proc., Korean Society of Automotive Engineers, 928–933.Google Scholar
  9. Li, D., Du, S. and Yu, F. (2008). Integrated vehicle chassis control based on direct yaw moment, active steering and active stabiliser. Vehicle System Dynamics 46, Supplement 1, 341–351.CrossRefGoogle Scholar
  10. Madaras, J., Ferencey, V., Bugar, M. and Danko, J. (2014). Algorithms for vehicle control stability system with 4 WS. Int. Conf. Mechatronics -Mechatronika, 1–7.Google Scholar
  11. Nam, K., Fujimoto, H. and Hori, Y. (2014). Advanced motion control of electric vehicles based on robust lateral tire force control via active front steering. EEE/ASME Trans. Mechatronics 19, 1, 289–299.CrossRefGoogle Scholar
  12. Ono, E., Hattori, Y., Muragishi, Y. and Koibuchi, K. (2006). Vehicle dynamics integrated control for fourwheel-distributed steering and four-wheel-distributed traction/braking systems. Vehicle System Dynamics 44, 2, 139–151.CrossRefGoogle Scholar
  13. Pacejka, H. (2005). Tire and Vehicle Dynamics. 2nd edn. SAE International. Warrendale, Pennsylvania, USA.Google Scholar
  14. Roshanbin, A. and Naraghi, M. (2008). Vehicle integrated control–An adaptive optimal approach to distribution of tire forces. IEEE Int. Conf. Networking, Sensing and Control, 885–890.Google Scholar
  15. Shen, X. and Yu, F. (2006). Investigation on integrated vehicle chassis control based on vertical and lateral tyre behaviour correlativity. Vehicle System Dynamics 44, Supplement 1, 506–519.CrossRefGoogle Scholar
  16. Shibahata, Y. (2005). Progress and future direction of chassis control technology. Annual Reviews in Control 29, 1, 151–158.CrossRefGoogle Scholar
  17. Yim, S. (2014). Integrated chassis control with electronic stability control and active rear steering. Trans. Korean Society of Mechanical Engineers A 38, 11, 1291–1297.CrossRefGoogle Scholar
  18. Yim, S. (2015). Integrated chassis control with electronic stability control and active front steering under saturation of front lateral tire forces. J. Institute of Control, Robotics and Systems 21, 10, 903–909.CrossRefGoogle Scholar
  19. Yoon, K., Lee, J., Lee, K., Hwang, T., Park, K. and Huh, S. (2007). Development of an integrated chassis control system using ESC, AFS and AGCS. Spring Conf. Proc., Korean Society of Automotive Engineers, 913–918.Google Scholar
  20. Yu, F., Li, D.-F. and Crolla, D. A. (2008). Integrated vehicle dynamics control-state-of-the art review. IEEE Vehicle Power and Propulsion Conf., 1–6.Google Scholar

Copyright information

© The Korean Society of Automotive Engineers and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.School of Mechanical EngineeringPusan National UniversityBusanKorea

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