Journal of Mechanical Science and Technology

, Volume 30, Issue 7, pp 2917–2931 | Cite as

Robust control of nonlinear integrated ride and handling model using magnetorheological damper and differential braking system

  • Ali Fellah Jahromi
  • Wen Fang Xie
  • Rama B. Bhat
Article
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Abstract

The interaction of the ride and handling systems is one of the challenging topics in vehicle dynamics and control. In this study the dynamic behavior of a passenger car considering coupling among all the fourteen degrees of freedom is modeled using Boltzmann Hamel equations. In order to improve the ride quality and stability of the vehicle, a Magnetorheological damper and a differential braking system are used as control devices. Based on the nonlinear integrated ride and handling vehicle model, a nonlinear H-infinity controller is designed for an intermediate passenger car. The dynamic behavior of the controlled vehicle is simulated for single lane change and bump input, considering three different road conditions: Dry, rainy and snowy. The robustness of the designed controller is investigated when the vehicle is under these road conditions. The simulation results confirm the interactive nature of the ride and handling systems and the robustness of the designed control strategy.

Keywords

Integrated ride and handling vehicle model Boltzmann Hamel equations H-infinity controller Magnetorheological damper Differential braking system 
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References

  1. [1]
    C. W. Wambold et al., Influence of roadway surface discontinuities on safety/roughness, holes, and bumps, Transportation Research Board of the National Academies, E-C134 (2009).Google Scholar
  2. [2]
    J. Wu, Q. Wanga, X. Weib and H. Tange, Studies on improving vehicle handling and lane keeping performance of closedloop driver-vehicle system with integrated chassis Control, Mathematics and Computers in Simulation, 80 (2010) 2297–2308.MathSciNetCrossRefGoogle Scholar
  3. [3]
    B. Németh and P. Gáspár, Vehicle modeling for integrated control design, Periodica Polytechnica, 38 (2010) 45–51.CrossRefGoogle Scholar
  4. [4]
    F. Lai and Z. Deng, Control strategy study on active suspension and four wheels steering integrated control system of vehicle, Proc.of IEEE Intelligent Vehicles Symposium (2009) 695–700.Google Scholar
  5. [5]
    B. Mashadi and D. A. Crolla, Influence of ride motions on the handling behavior of a passenger vehicle, Part D: Journal of Automobile Engineering, 219 (2005) 1047–1058.Google Scholar
  6. [6]
    G. Tsampardoukas, C. W. Stammers and E. Guglielmino, Semi-active control of a passenger vehicle for improved ride and handling, Part D: Journal of Automobile Engineering, 222 (2008) 325–352.Google Scholar
  7. [7]
    J. Wang and S. Shen, Integrated vehicle ride and roll control via active suspensions, Vehicle System Dynamics, 46 (2008) 495–508.CrossRefGoogle Scholar
  8. [8]
    J. D. Setiawan, M. Safarudin and A. Singh, Modeling, simulation and validation of 14 DOF full vehicle model, Proc. of Instrumentation, Communications, Information Technology, and Biomedical Engineering (ICICI-BME) (2009) 23–25.Google Scholar
  9. [9]
    T. K. Bera, K. Bhattacharya and A. K. Samantaray, Evaluation of antilock braking system with an integrated model of full vehicle system dynamics, Simulation Modeling Practice and Theory, 19 (2011) 2131–2159.CrossRefGoogle Scholar
  10. [10]
    T. K. Bera, K. Bhattacharya and A. K. Samantaray, Bond graph model-based evaluation of a sliding mode controller for a combined regenerative and antilock braking system, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 225 (2011) 918–934.Google Scholar
  11. [11]
    T. K. Bera et al., Design and validation of a reconfiguration strategy for a redundantly actuated intelligent autonomous vehicle, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering (2012) 0959651812447486.Google Scholar
  12. [12]
    D. Kamopp, Active damping in road vehicle suspension systems, Vehicle System Dynamics, 12 (1983) 291–311.CrossRefGoogle Scholar
  13. [13]
    M. M. Elmadany and Z. Abduljabbar, Linear quadratic Gaussian control of a quarter-car suspension, Vehicle System Dynamics, 32 (1999) 479–497.CrossRefGoogle Scholar
  14. [14]
    L. V. V. G. Rao and S. Narayanan, Sky-hook control of nonlinear quarter car model traversing rough road matching performance of LQR control, Journal of Sound and Vibration, 323 (2009) 515–529.CrossRefGoogle Scholar
  15. [15]
    M. M. Elmadany and Z. Abduljabbar, On the ride and attitude control of road vehicle, Computer and Structure, 42 (1992) 245–253.CrossRefGoogle Scholar
  16. [16]
    Y. Sun and G. A. Parker, A position controlled disc valve in vehicle semi-active suspension systems, Control Engineering Practice, 1 (1993) 927–935.CrossRefGoogle Scholar
  17. [17]
    H. Du, K. Y. Szeb and J. Lamb, Semi-active H∞ control of vehicle suspension with magneto-rheological dampers, Journal of Sound and Vibration, 283 (2005) 981–996.CrossRefGoogle Scholar
  18. [18]
    M. S. Fallah, R. B. Bhat and W. F. Xie, Optimized control of semi-active suspension systems using H∞ robust control theory and current signal estimation, IEEE/ASME Transactions on Mechatronics, 16 (2011) 1–12.CrossRefGoogle Scholar
  19. [19]
    S. S. Sedeh, R. S. Sedeh and K. Navi, Using car semi-active suspension system to decrease undesirable effects of road excitation on human health, Proc. of BIOCOMP (2006) 242–250.Google Scholar
  20. [20]
    M. M. Ferdaus, M. M. Rashid, M. H. H. and M. A. Rahman, Optimal design of Magneto-Rheological damper comparing different configurations by finite element analysis, Journal of Mechanical Science and Technology, 28 (2014) 3653–3665.CrossRefGoogle Scholar
  21. [21]
    M. M. Rashid, M. M. Ferdaus, M. H. Hasan and A. Rahman, ANSYS finite element design of an energy saving magnetorheological damper with improved dispersion stability, Journal of Mechanical Science and Technology, 29 (2015) 2793–2802.CrossRefGoogle Scholar
  22. [22]
    R. Rajamani, Vehicle Dynamics and Control, Springer, USA, New York (2006).MATHGoogle Scholar
  23. [23]
    P. Yih and J. C. Gerdes, Steer-by-wire for vehicle state estimation and control, Proc. of AVEC (2004) 785–790.Google Scholar
  24. [24]
    P. Setlur, D. Dawson, J. Wagner and Y. Fang, Nonlinear tracking controller design for steer-by-wire automotive systems, Proc. of the American Control Conference (2002) 280–285.Google Scholar
  25. [25]
    M. Doumiati, O. Sename, J. Martinez, L. Dugard, P. Gaspar, Z. Szabo and J. Bokor, Vehicle yaw control via coordinated use of steering/braking systems, Proc. of the 18th IFAC World Congress (2011) 644–649.Google Scholar
  26. [26]
    R. P. Osborn and T. Shim, Independent control of all-wheeldrive torque distribution, Vehicle System Dynamics, 44 (2006) 529–546.CrossRefGoogle Scholar
  27. [27]
    F. Tahami, S. Farhangi and R. Kazemi, A fuzzy logic direct yaw-moment control system for all-wheel-drive electric vehicles, Vehicle System Dynamics, 41 (2004) 203–221.CrossRefGoogle Scholar
  28. [28]
    K. Yi1, T. Chung, J. Kim and S. Yi1, An investigation into differential braking strategies for vehicle stability control, Part D: Journal of Automobile Engineering, 217 (2003) 1081-0193.Google Scholar
  29. [29]
    B. C. Chen and H. Peng, Differential-braking-based rollover prevention for sport utility vehicles with human-in-the-loop evaluations, Vehicle System Dynamics, 36 (2001) 359–389.CrossRefGoogle Scholar
  30. [30]
    A. F. Jahromi, R. B. Bhat and W. F. Xie, Integrated ride and handling vehicle model using Lagrangian quasi-coordinates, International Journal of Automotive Technology, 16 (2) (2015) 239–251.CrossRefGoogle Scholar
  31. [31]
    R. D. Quinn, Equations of motion for structures in terms of quasicoordinates, Journal of Applied Mechanics, 57 (1990) 745–749.CrossRefGoogle Scholar
  32. [32]
    L. Meirovitch and I. Tuzcu, Integrated approach to the dynamics and control of maneuvering flexible aircraft, Report, NASA/CR-2003-211748 (2003).Google Scholar
  33. [33]
    J. M. Cameron and W. J. Book, Modeling mechanisms with nonholonomic joints using the boltzmann-Hamel equations, International Journal of Robotics Research, 16 (1997) 47–59.CrossRefGoogle Scholar
  34. [34]
    J. Dugoff, An analysis of tire properties and their influence on vehicle dynamic performance, SAE paper 700377 (1970).Google Scholar
  35. [35]
    A. Isidori and A. Astolfi, Disturbance attenuation and H∞ control via measurement feedback in nonlinear systems, IEEE Transactions on Automatic Control, 37 (1992) 1283–1293.MathSciNetCrossRefMATHGoogle Scholar
  36. [36]
    C. H. Jin, H. S. Li and L. Z. Song, An LMI approach to H∞ control for affine nonlinear system, Proc. of Electronics and Optoelectronics (ICEOE), 2011 International Conference on Electronics and Optoelectronics, 2 (2011) V2-26, V2-29.Google Scholar
  37. [37]
    A. Fellah Jahromi, W. F. Xie and R. B. Bhat, Nonlinear h-Infinity control strategy for differential braking system of a passenger car, Proc. of 15th IASTED International Conference on Control and Applications (CA 2013) USA (2013) 98–103.Google Scholar
  38. [38]
    B. F. Spencer, S. J. Dyke, M. K. Sain and J. D. Carlson, Phenomenological model of a magnetorheological damper, Journal of Engineering Mechanics, 123 (1997) 230–238.CrossRefGoogle Scholar
  39. [39]
    C. Y. Lai and W. H. Liao, Vibration control of a suspension system via a magnetorheological fluid damper, Journal of Vibration and Control, 8 (2002) 527–547.CrossRefGoogle Scholar
  40. [40]
    A. Fellah Jahromi, R. B. Bhat and W. F. Xie, Robust control of passenger cars with semi-active suspension system using magnetorheological shock absorber, Proc. of the Canadian Society for Mechanical Engineering International Congress 2014, Canada (2014).Google Scholar
  41. [41]
    X. Yang, Z. Wang and W. Peng, Coordinate of AFS and DYC for vehicle handling and stability based on optimal guaranteed cost theory, Vehicle System Dynamic, 47 (2007) 57–79.CrossRefGoogle Scholar
  42. [42]
    W. H. Liao and C. Y. Lai, Harmonic analysis of a magnetorheological damper for vibration control, Smart Materials and Structures, 11 (2002) 288–296.CrossRefGoogle Scholar

Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Ali Fellah Jahromi
    • 1
  • Wen Fang Xie
    • 1
  • Rama B. Bhat
    • 1
  1. 1.Department of Mechanical and Industrial EngineeringConcordia UniversityMontrealCanada

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