A bifurcation study of vehicle's steering dynamics

Der Cherng Liaw*, Hsin Han Chiang, Tsu Tian Lee

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

13 Citations (Scopus)


Issues of stability and bifurcation phenomena in vehicle's steering dynamics are presented. Based on the assumption of constant driving speed, a second order nonlinear lateral dynamical model is obtained. Local stability and existence conditions for saddle node bifurcation appearing in vehicle dynamics with respect to the variation of the front wheel steering angle are then derived via system linearization and local bifurcation analysis. Bifurcation phenomena occurring in nonlinear vehicle lateral dynamics might result in spin and/or system instability. Perturbation method is employed to solve for an approximation of system equilibrium near the zero value of the front wheel steering angle, which reveals the relationship between sideslip angle and the applied front wheel angle. Numerical study of a simple example verifies the theoretical analysis.

Original languageEnglish
Title of host publication2005 IEEE Intelligent Vehicles Symposium, Proceedings
Number of pages6
Publication statusPublished - 2005
Externally publishedYes
Event2005 IEEE Intelligent Vehicles Symposium - Las Vegas, NV, United States
Duration: 2005 Jun 62005 Jun 8

Publication series

NameIEEE Intelligent Vehicles Symposium, Proceedings


Other2005 IEEE Intelligent Vehicles Symposium
Country/TerritoryUnited States
CityLas Vegas, NV


  • Bifurcation phenomena
  • Vehicle steering
  • Vehicle's steering dynamics

ASJC Scopus subject areas

  • Modelling and Simulation
  • Automotive Engineering
  • Computer Science Applications


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