Vehicle Lateral Stability Management Using Gain-Scheduled Robust Control

  • You, Seung-Han (School of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Jo, Joon-Sang (School of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Yoo, Seung-Jin (School of Mechanical and Aerospace Engineering, Seoul National University) ;
  • Hahn, Jin-Oh (Department of Mechanical Engineering, Massachusetts Institute of Technology) ;
  • Lee, Kyo-Il (School of Mechanical and Aerospace Engineering, Seoul National University)
  • Published : 2006.11.01

Abstract

This paper deals with the design of a yaw rate controller based on gain-scheduled H$\infty$ optimal control, which is intended to maintain the lateral stability of a vehicle. Uncertain factors such as vehicle mass and cornering stiffness in the vehicle yaw rate dynamics naturally call for the robustness of the feedback controller and thus H$\infty$ optimization technique is applied to synthesize a controller with guaranteed robust stability and performance against the model uncertainty. In the implementation stage, the feed-forward yaw moment by driver's steer input is estimated by the disturbance observer in order to determine the accurate compensatory moment. Finally, HILS results indicate that the proposed yaw rate controller can satisfactorily improve the lateral stability of an automobile.

Keywords

References

  1. Balas, G. J., Doyle, J. C., Glover, K., Packard, A. and Smith, R., 2001, $\mu$-Analysis and Synthesis Toolbox User's Guide, MathWorks
  2. Chung, T. and Yi, K, 2005, 'Side Slip Angle Based Control Threshold of Vehicles Stability Control System,' Journal of Mechanical Science and Technology, Vol. 19, No.4, pp.985-992 https://doi.org/10.1007/BF02919181
  3. Doyle, J. C., Francis, B. A. and Tannenbaum, A. R., 1992, Feedback Control Theory, Macmillan Publishing Company
  4. Gahinet, P., Nemirovski, A., Laub, A. J. and Chilali, M., 1995, LMI Control Toolbox User's Guide, MathWorks
  5. Hahn, J. O., Rajamani, R., You, S. H. and Lee, K. I., 2004, 'Real-Time Identification of Road Bank Angle Using Differential GPS,' IEEE Trans. Control Systems Technology, Vol. 12, pp.589-599 https://doi.org/10.1109/TCST.2004.825131
  6. Koibuchi K., Yamamoto M., Fukada Y. and Inagaki S., 'Vehicle Stability Control in Limit Cornering by Active Brake,' SAE960487
  7. Langwieder, K., Gwehenverger, J., Hummel, T. and Bende, J., 2003, 'Benefit Potential of ESP in Real Accident Situations Involving Cars and Trucks,' SAE 2003-06-0033
  8. MacAdam, C. C., 1980, 'An Optimal Preview Control for Linear Systems,' Journal of Dynamic Systems, Measurement and Control, ASME, Vol. 102, No.3, pp. 188-190 https://doi.org/10.1115/1.3139632
  9. Nagai, M., Shino, M. and Gao, F., 2002, 'Study on Integrated Control of Active Front Steer Angle and Direct Yaw Moment,' JSAE Review, Vol. 23, pp. 309-315 https://doi.org/10.1016/S0389-4304(02)00189-3
  10. Nishimaki, T., Yuhara, N., Shibahata, Y. and Kuriki, N., 1999, 'Two-Degree-of-Freedom Hydraulic Pressure Controller Design for Direct Yaw Moment Control System,' JSAE Review, Vol. 20, pp. 517-522 https://doi.org/10.1016/S0389-4304(99)00041-7
  11. Pilutti, T., U1soy, G. and Hrovat, D., 1998, 'Vehicle Steering Intervention through Differential Braking,' ASME J. Dynamic Systems, Measurement and Control, Vol. 120, pp.314-321 https://doi.org/10.1115/1.2805402
  12. Rieth, P. E. and Schwarz, R., 2004, 'ESC IIESC with active steering intervention,' SAE 2004-01-0260
  13. Skogestad, S. and Postlethwaite, I., 1996, Multivariable Feedback Control, John Wiley & Sons
  14. Tseng, H. E., Ashrafi, B., Madau, D., Brown, T. A. and Recker, D., 1999, 'The Development of Vehicle Stability Control at Ford,' IEEE/ASME Trans. Mechatronics, Vol. 4, pp. 223-234 https://doi.org/10.1109/3516.789681
  15. Van Zanten, A. T., Erhardt, R., Landesfeind, K. and Pfaff, G., 1998, 'VDC Systems Development and Perspective,' SAE 980235
  16. Whitehead, J. C., 1988, 'Four Wheel Steering: Maneuverability and High Speed Stabilization,' SAE Paper 880642
  17. Yasui, Y., Tozu, K., Hattori, N. and Sugisawa, M., 1996, 'Improvement of Vehicle Directional Stability for Transient Steering Maneuvers Using Active Brake Control,' SAE 960485
  18. You, S. -H., 2006, 'Modeling, Estimation and Control of a Vehicle Stability Management System,' Ph.D. Thesis, School of Mechanical and Aerospace Engineering, Seoul National University
  19. You, S. -H., Hahn, J. -O., Cho, Y. M. and Lee, K. I., 2006, 'Modeling and Control of a Hydraulic Unit for Direct Yaw Moment Control in an Automobile,' Control Engineering Practice, accepted for publication https://doi.org/10.1016/j.conengprac.2005.06.002
  20. Zhou, K. and Doyle, J. C., 1998, Essentials of Robust Control, Prentice-Hall