Non-linear dynamics and control of an automotive suspension system based on local and global bifurcation analysis

Yeou Feng Lue, Shun Chang Chang

Research output: Contribution to journalArticle

1 Citation (Scopus)


This paper details the non-linear dynamic behaviours and control of a non-linear semi-active suspension system using a quarter-car model under kinematic excitation by a road surface profile. The results of local and global bifurcation analysis indicate that the hysteretic non-linear characteristics of damping force cause the suspension system to exhibit codimension-two bifurcation, resulting in homoclinic orbits and a pitchfork bifurcation. The complex dynamic behaviour of automotive suspension systems was examined using a bifurcation diagram, phase portraits, a Poincaré map, and frequency spectra. We also used Lyapunov exponent to identify the occurrence of chaotic motion and verify our analysis. Finally, a dither signal control was used to convert chaotic behaviours into periodic motion. Simulation results verify the effectiveness of the proposed control method.

Original languageEnglish
Pages (from-to)340-359
Number of pages20
JournalInternational Journal of Vehicle Autonomous Systems
Issue number4
Publication statusPublished - 2017 Jan 1



  • Lyapunov exponent
  • bifurcation
  • chaotic
  • codimension-two
  • dither.

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Automotive Engineering
  • Electrical and Electronic Engineering

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