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Advances in the development of a virtual car driver

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Abstract

Fundamental approaches to modeling the control of a car by a driver are reviewed briefly. The context of the work presented is explained. Then previous research on the application of optimal linear preview control to aspects of driving road vehicles is extended. This prior research treated the tracking of a roadway by a vehicle and driver at constant forward speed and the tracking of a speed demand while running straight. The two previously separate problems are now combined, so that longitudinal and lateral path demands are considered in parallel. A new feature is that low-pass filters are included in the driver modeling to represent driver bandwidth limitations. This feature enables the finding of the influence of the driver’s control bandwidth on the optimal strategies and on the closed-loop system performance, by way of frequency-response calculations. A new optimal preview control toolbox is employed. Simulations of the virtual driver-controlled car are shown to demonstrate the closed-loop system following longitudinal and lateral position demands.

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References

  1. Anderson, B.D.O., Moore, J.B.: Optimal Control: Linear Quadratic Methods. Prentice-Hall, Englewood Cliffs (1989)

    Google Scholar 

  2. Dixon, J.C.: Tires, Suspension and Handling, 2nd edn. SAE, Warendale (1996)

    Google Scholar 

  3. Edelmann, J., Plöchl, M., Reinalter, W., Tieber, W.: A passenger car driver model for higher lateral accelerations. Veh. Syst. Dyn. 45(12), 1117–1129 (2007)

    Article  Google Scholar 

  4. Findeisen, R., Allgöwer, F.: An introduction to nonlinear model predictive control, In: Scherer, C.W., Schumacher, J.M. (eds.) The Impact of Optimisation in Control. Dutch Institute of Systems and Control, pp. 3.1–3.45 (2001)

  5. Findeisen, R., Imsland, L., Allgöwer, F., Foss, B.A.: State and output feedback nonlinear model predictive control: An overview. Eur. J. Control 9(2–3), 179–195 (2003)

    Google Scholar 

  6. Frezza, R., Beghi, A.: Simulating a motorcycle rider. In: Kang, W. (ed.) New Trends in Nonlinear Dynamics and Control. Springer, Berlin (2003)

    Google Scholar 

  7. Frezza, R., Beghi, A.: A virtual motorcycle driver for closed-loop simulation. IEEE Control Syst. Mag. 26(5), 62–77 (2006)

    Article  Google Scholar 

  8. Frezza, R., Minen, D.: A new model based driver program for virtual cars in closed loop simulation. In: The Dynamics of Vehicles on Roads and on Railway Tracks, Milan, Italy (2005)

  9. Frezza, R., Beghi, A., Saccon, A.: Model predictive and hierarchical control for path following with motorcycles: Application to the development of the pilot model for virtual prototyping. In: Proceedings of 43rd IEEE Conference on Decision and Control, Atlantis, Paradise Island, Bahamas, pp. 767–772 (2004)

  10. Guo, K., Guan, H.: Modelling of driver/vehicle directional control system. Veh. Syst. Dyn. 22(3–4), 141–184 (1993)

    Article  Google Scholar 

  11. Hazell, A.: Discrete-time optimal preview control. Ph.D. thesis, Imperial College London (2008)

  12. Hazell, A., Limebeer, D.J.N.: A design framework for discrete-time ℋ2 preview control, Trans. ASME, J. Dyn. Syst. Meas. Control (2008, in review)

  13. Louam, N., Wilson, D.A., Sharp, R.S.: Optimisation and performance enhancement of limited bandwidth active suspensions for automobiles under preview of the road. Veh. Syst. Dyn. 21(1), 39–63 (1992)

    Article  Google Scholar 

  14. MacAdam, C.C.: Understanding and modelling the human driver. Veh. Syst. Dyn. 40(1–3), 101–134 (2003)

    Article  Google Scholar 

  15. Mousseau, C.W., Sayers, M.W., Fagan, D.J.: Symbolic quasi-static and dynamic analyses of complex automobile models. In: Sauvage, G. (ed.) Proc. 12th IAVSD Symposium on the Dynamics of Vehicles on Roads and on Tracks, pp. 446–459. Swets and Zeitlinger, Lisse (1992)

    Google Scholar 

  16. Pacejka, H.B.: Tyre and Vehicle Dynamics. Butterworth Heinemann, Oxford (2002). ISBN 0-7506-5141-5

    Google Scholar 

  17. Plöchl, M., Edelmann, J.: Driver models in automobile dynamics application. Veh. Syst. Dyn. 45(7–8), 699–741 (2007)

    Article  Google Scholar 

  18. Prokop, G.: Modelling human vehicle driving by model predictive on-line optimisation. Veh. Syst. Dyn. 35(1), 19–35 (2001)

    Article  Google Scholar 

  19. Prokop, G., Sharp, R.S.: Performance enhancement of limited bandwidth active automotive suspensions by road preview. IEE Proc. Control Theory Appl. 142(2), 140–148 (1995)

    Article  Google Scholar 

  20. Qin, S.J., Badgwell, T.A.: A survey of industrial model predictive control technology. Control Eng. Pract. 11(7), 733–764 (2003)

    Article  Google Scholar 

  21. Rawlings, J.B.: Tutorial overview of model predictive control. IEEE Control Syst. Mag. 38–52 (2000)

  22. Sayers, M.W.: Vehicle models for rts applications. Veh. Syst. Dyn. 32(4–5), 421–438 (1999)

    Article  Google Scholar 

  23. Schiehlen, W.O.: Multibody system dynamics: Roots and perspectives. Multibody Syst. Dyn. 1(2), 149–188 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  24. Sharp, R.S.: Testing and improving a tyre shear force computation algorithm. Veh. Syst. Dyn. 41(3), 223–247 (2004)

    Article  Google Scholar 

  25. Sharp, R.S.: Driver steering control and a new perspective on car handling qualities. J. Mech. Eng. Sci. 219(C8), 1041–1051 (2005)

    MathSciNet  Google Scholar 

  26. Sharp, R.S.: Optimal linear time-invariant preview steering control for motorcycles. In: Bruni, S., Mastinu, G.R.M. (eds.) The Dynamics of Vehicles on Roads and on Railway Tracks. Supplement to Vehicle System Dynamics, vol. 44, pp. 329–340. Taylor and Francis, London (2006)

    Google Scholar 

  27. Sharp, R.S.: Application of optimal preview control to speed tracking of road vehicles. J. Mech. Eng. Sci. 221(12), 1571–1578 (2007)

    Google Scholar 

  28. Sharp, R.S.: Motorcycle steering control by road preview. Trans. ASME, J. Dyn. Syst. Meas. Control 129(4), 373–381 (2007)

    Article  MathSciNet  Google Scholar 

  29. Sharp, R.S.: Optimal preview speed-tracking control for motorcycles. Multibody Syst. Dyn. 18(3), 397–411 (2007)

    Article  MATH  Google Scholar 

  30. Sharp, R.S.: Optimal stabilisation and path-following controls for a bicycle. J. Mech. Eng. Sci. 221(4), 415–428 (2007)

    MathSciNet  Google Scholar 

  31. Sharp, R.S., Bettella, M.: On the construction of a general numerical tyre shear force model from limited data. Proc. I. Mech. E. Part D, J. Automob. Eng. 217(3), 165–172 (2003)

    Article  Google Scholar 

  32. Sharp, R.S., Bettella, M.: Tyre shear force and moment descriptions by normalisation of parameters and the “magic formula”. Veh. Syst. Dyn. 39(1), 27–56 (2003)

    Article  Google Scholar 

  33. Sharp, R.S., Evangelou, S., Limebeer, D.J.N.: Multibody aspects of motorcycle modelling with special reference to autosim. In: Ambrosio, J.A.C. (ed.) Advances in Computational Multibody Systems, pp. 45–68. Springer, Dordrecht (2005)

    Chapter  Google Scholar 

  34. Sharp, R.S., Valtetsiotis, V.: Optimal preview car steering control. In: Lugner, P., Hedrick, K. (eds.) ICTAM Selected Papers from 20th International Congress. Supplement to Vehicle System Dynamics, vol. 35, pp. 101–117. Swets and Zeitlinger, Lisse (2001)

    Google Scholar 

  35. Thommyppillai, M., Evangelou, S., Sharp, R.S.: Car driving at the limit by adaptive linear optimal preview control. Veh. Syst. Dyn. (2009). doi:10.1080/00423110802673109

  36. Thommyppillai, M., Evangelou, S., Sharp, R.S.: Rear-heavy car control by adaptive linear optimal preview, Veh. Syst. Dyn. (2009, in press)

  37. Ungoren, A.Y., Peng, H.: An adaptive lateral preview driver model. Veh. Syst. Dyn. 43(4), 245–259 (2005)

    Article  Google Scholar 

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Thommyppillai, M., Evangelou, S. & Sharp, R.S. Advances in the development of a virtual car driver. Multibody Syst Dyn 22, 245–267 (2009). https://doi.org/10.1007/s11044-009-9164-4

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