Research Papers

Backstepping Control Design for Vehicle Active Restraint Systems

[+] Author and Article Information
Manohar Das

Department of Electrical and
Computer Engineering,
Oakland University,
Rochester, MI 48309-4401

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received June 1, 2010; final manuscript received July 2, 2012; published online November 7, 2012. Assoc. Editor: Swaroop Darbha.

J. Dyn. Sys., Meas., Control 135(1), 011012 (Nov 07, 2012) (9 pages) Paper No: DS-10-1147; doi: 10.1115/1.4007549 History: Received June 01, 2010; Revised July 02, 2012

Active control of vehicle restraint systems has been extensively investigated in past decades. Many promising results have shown that a seat-belt system can be controlled in real-time to minimize human driver/occupant's injuries by reducing the human chest acceleration after a frontal impact. This paper presents a new nonlinear model that groups the seat-belt restraint system and the human driver's nonlinear high-coupling dynamics together to form a cascaded system. By using a backstepping design procedure, a global control law is developed and aimed to actively and continuously adjust the seat-belt strain force so as to interact both the human's shoulder/chest and waist. Both the control theory development and 3D graphical simulation study show that the overall system stability is well achieved. Even if up to a freeway speed, such as at 65 mph, the accelerations of the three major human body joints: lumber, thorax, and neck after a frontal collision can still be reduced significantly.

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National Highway Traffic Safety Administration, “ What You Need to Know About Airbags,” http://www.nhtsa.gov/people/injury/airbags/airbags03/images/Air%20Bags0307.pdf
Braver, E. R., Ferguson, S. A., Greene, M. A., and Lund, A. K., 1997, “Reductions in Deaths in Frontal Crashes Among Right Front Passengers in Vehicles Equipped With Passenger Air Bags,” J. Am. Med. Assoc., 278(17), pp. 1437–1439. [CrossRef]
Miller, H. J., and Maripudi, V., 1996, “Restraint Force Optimization for a Smart Restraint System,” Proceedings of theSAE International Congress and Exposition, Detroit, Paper No. 960662, pp. 79–84. [CrossRef]
Miller, H. J., and Dybro, N., 1996, “Seat Belt Retractor With Integrated Load Limiter,” U.S. Patent No. 5,547,143.
Blackburn, B. K., Gentry, S. B., and Mazur, J. F., 2000, “Occupant Restraint System and Control Method With Variable Occupant Position Boundary,” U.S. Patent No. 6,018,693.
Juna, A. F., Al-Habaibeh, A., Whitby, D. R., Parkin, R. M., Jackson, M. R., Mansi, M., and Coy, J., 2003, “Smart Restraint Systems Utilizing Low Cost Infra-Red Sensors,” Proceedings of International Conference on Mechatronics (ICOM 2003), pp. 255–260.
Dinsdale, P., Greene, D. J., and Young, A. M., 2006, “Dual Stage Inflator With Extended Gas Delivery for a Vehicular Airbag System,” U.S. Patent No. 7,004,500.
Paulitz, T. J., Blackketter, D. M., and Rink, K. K., 2006, “Constant Force Restraints For Frontal Collisions,” Proc. Instn. Mech. Engrs., Part D: J. Autom Eng., 220(9), pp. 1177–1189. [CrossRef]
Clute, G., 2001, “Potentials of Adaptive Limitation Presentation and System Validation of the Adaptive Load Limiter,” Proceedings of the 17th International Technical Conference on the Enhanced Safety of Vehicles, NHTSA, Amsterdam, The Netherlands, pp. 113–134.
Iyota, T., and Ishikawa, T., 2003, “The Effect of Occupant Protection by Controlling Airbag and Seatbelt,” Proceedings of the 18th International Technical Conference on the Enhanced Safety of Vehicles, NHTSA, Nagoya, Japan, pp. 1–10.
Braver, E. R., Scerbo, M., Kufera, J. A., Alexander, M. T., Volpini, K., and Lloyd, J. P., 2008, “Deaths Among Drivers and Right-Front Passengers in Frontal Collisions: Redesigned Air Bags Relative to First-Generation Air Bags,” Traffic Injury Prev., 9(1), pp. 48–58. [CrossRef]
Crandall, J. R., Cheng, Z., and Pilkey, W. D., 2000, “Limiting Performance of Seat Belt Systems for the Prevention of Thoracic Injuries,” Proc. Instn. Mech. Engrs., Part D: J. Autom Eng., 214(2), pp. 127–139. [CrossRef]
Kent, R. W., Balandin, D. V., Bolotnik, N. N., Pilkey, W. D., and Purtsezov, S. V., 2007, “Optimal Control of Restraint Forces in an Automobile Impact,” ASME J. Dyn. Sys., Meas., Control, 129(4), pp. 415–424. [CrossRef]
Paulitz, T. J., Blackketter, D. M., and Rink, K. K., 2005, “Fully-Adaptive Seatbelts for Frontal Collisions,” Proceedings of 19th International Technical Conference on the Enhanced Safety of Vehicles, Washington, DC, June 6–9.
Hesseling, R. J., Steinbuch, M., Veldpaus, F. E., and Klisch, T., 2006, “Identification and Control of a Vehicle Restraint System,” Proc. Instn. Mech. Engrs., Part D: J. Autom Eng., 220(4), pp. 401–413. [CrossRef]
Griotto, G., Lemmen, P., van den Eijnden, E., van Leijsen, A., van Schie, C., and Cooper, J., 2007, “Real Time Control of Restraint Systems in Frontal Crashes,” SAE International Conference, Detroit, MI, Paper No. 2007-01-1504. [CrossRef]
Shin, H. S., Yeo, T. J., and Ha, W. P., 2007, “The Numerical Study for the Adaptive Restraint System,” Proceedings of theSAE 2007 World Congress, Detroit, MI. [CrossRef]
van der Laan, E., Veldpaus, F., van Schie, C., and Steinbuch, M., 2007, “State Estimator Design for Real-Time Controlled Restraint Systems,” Proceedings of the 2007 American Control Conference (ACC '07), New York, July 9–13. [CrossRef]
van der Laan, E., Veldpaus, F., de Jager, B., and Steinbuch, M., 2009, “Control-Oriented Modelling of Occupants in Frontal Impacts,” Int. J. Crashworthiness, 14(4), pp. 323–337. [CrossRef]
TNO MADYMO BV, 2005, “ MADYMO Manual,” Version 6.3, TNO Road-Vehicles Research Institute, Delft, The Netherlands.
Murad, M., Cheok, K. C., and Das, M., 2009, “Intelligent Adaptive Occupant Restraint System,” Proceedings ofIEEE Southeastcon Conference, pp. 126–131. [CrossRef]
Gu, E., Teng, Y., and Oriet, L., 2003, “A Minimum-Effort Motion Algorithm for Digital Human Models,” Proceedings of the 2003SAE International Conference on Digital Human Modeling for Design and Engineering, Montreal, Canada, June 16–19, Paper No. 2003-01-2228. [CrossRef]
Gu, E. Y. L., 2010, Robotic Kinematics, Dynamics and Control (Lecture Notes), 2nd ed., Oakland University, Rochester, MI.
Gu, Y. L., and Loh, N. K., 1988, “Dynamic Modeling and Control by Utilizing an Imaginary Robot Model,” IEEE J. Rob. Autom., 4(5), pp. 532–540. [CrossRef]
Gu, Y. L., 1991, “Modeling and Simplification for Dynamic Systems With Testing Procedures and Metric Decomposition,” Proceedings of 1991IEEE International Conference on Systems, Man, and Cybernetics, Charlottesville, VA., Oct. 13–16, pp. 487–492. [CrossRef]
Gu, E. Y. L., 2000, “Configuration Manifolds and Their Applications to Robot Dynamic Modeling and Control,” IEEE Trans. Rob. Autom., 16(5), pp. 517–527. [CrossRef]
Slotine, J., and Li, W., 1991, Applied Nonlinear Control, Prentice-Hall, New Jersey.
Gu, E. Y. L., 2009, Modern Theories of Nonlinear Systems and Control (Lecture Notes), 2nd ed., Oakland University, Rochester, MI.
Kristic, M., Kanellakopoulos, I., and Kokotovic, P., 1995, Nonlinear and Adaptive Control Design, John Wiley & Sons, Inc., New York.
Eppinger, R., Sun, E., Bandak, F., Haffner, M., Khaewpong, N., and Maltese, M., “Development of Improved Injury Criteria for Assessment of Advanced Automotive Restraint Systems—II,” http://www.nhtsa.gov/DOT/NHTSA/NRD/Multimedia/PDFs/Crashworthiness/Air%20Bags/rev_criteria.pdf


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Fig. 1

A digital driver model

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Fig. 2

A typical seat-belt restraint system

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Fig. 3

A complete block diagram for the active restraint control system

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Fig. 4

A digitized vehicle acceleration profile before/after a frontal impact at V = 45 mph

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Fig. 5

The driver's dynamic motion after a frontal impact (left) and the three joint accelerations in a passive conventional seat-belt case at 45 mph (right)

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Fig. 6

The three major joint accelerations (left) and control strain forces in an active seat-belt case at 45 mph (right)

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Fig. 7

The controlled strain force acting on the chest through the upper belt in x and y directions (left) and a possible way to replace the upper belt by two shoulder soft rings to realize the bidirectional control (right)




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