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Stability and Hopf Bifurcation of Four-Wheel-Steering Vehicles Involving Driver's Delay

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Abstract

A mathematical model is presented for four-wheel-steeringvehicles, with the time delay in driver's response and the nonlinearityin lateral tyre forces taken into account. It is proved that thevehicle-driver system has a trivial steady state motion, as well aseight non-trivial steady state motions due to the nonlinearity of tyreforces. The asymptotic stability and Hopf bifurcation of the trivialsteady state are analyzed for two control strategies ofrear-wheel-steering. It is shown through the numerical simulations thatthe four-wheel-steering technique based on the bilinear control strategyworks better when the driver's response involves time delay.

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Authors and Affiliations

  1. Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R. China

    Haiyan Hu & Zhiqiang Wu

Authors
  1. Haiyan Hu
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  2. Zhiqiang Wu
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Hu, H., Wu, Z. Stability and Hopf Bifurcation of Four-Wheel-Steering Vehicles Involving Driver's Delay. Nonlinear Dynamics 22, 361–374 (2000). https://doi.org/10.1023/A:1008324311249

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  • DOI: https://doi.org/10.1023/A:1008324311249

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