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 language | English |
|---|---|
| Pages (from-to) | 340-359 |
| Number of pages | 20 |
| Journal | International Journal of Vehicle Autonomous Systems |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2017 Jan 1 |
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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 journal › Article
}
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 -