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)

Abstract

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
Volume13
Issue number4
DOIs
Publication statusPublished - 2017 Jan 1

Fingerprint

Active suspension systems
Phase diagrams
Kinematics
Orbits
Railroad cars
Damping

Keywords

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

ASJC Scopus subject areas

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

Cite this

Non-linear dynamics and control of an automotive suspension system based on local and global bifurcation analysis. / Lue, Yeou-Feng; Chang, Shun Chang.

In: International Journal of Vehicle Autonomous Systems, Vol. 13, No. 4, 01.01.2017, p. 340-359.

Research output: Contribution to journalArticle

@article{081bfaaf30d8402eb538be7342c58e67,
title = "Non-linear dynamics and control of an automotive suspension system based on local and global bifurcation analysis",
abstract = "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 Poincar{\'e} 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.",
keywords = "Lyapunov exponent, bifurcation, chaotic, codimension-two, dither.",
author = "Yeou-Feng Lue and Chang, {Shun Chang}",
year = "2017",
month = "1",
day = "1",
doi = "10.1504/IJVAS.2017.087184",
language = "English",
volume = "13",
pages = "340--359",
journal = "International Journal of Vehicle Autonomous Systems",
issn = "1471-0226",
publisher = "Inderscience Enterprises Ltd",
number = "4",

}

TY - JOUR

T1 - Non-linear dynamics and control of an automotive suspension system based on local and global bifurcation analysis

AU - Lue, Yeou-Feng

AU - Chang, Shun Chang

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Lyapunov exponent

KW - bifurcation

KW - chaotic

KW - codimension-two

KW - dither.

UR - http://www.scopus.com/inward/record.url?scp=85031283124&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031283124&partnerID=8YFLogxK

U2 - 10.1504/IJVAS.2017.087184

DO - 10.1504/IJVAS.2017.087184

M3 - Article

AN - SCOPUS:85031283124

VL - 13

SP - 340

EP - 359

JO - International Journal of Vehicle Autonomous Systems

JF - International Journal of Vehicle Autonomous Systems

SN - 1471-0226

IS - 4

ER -