Elucidating vehicle lateral dynamics using a bifurcation analysis

Der Cherng Liaw; Hsin Han Chiang; Tsu Tian Lee

doi:10.1109/TITS.2006.888598

Elucidating vehicle lateral dynamics using a bifurcation analysis

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

43 Citations (Scopus)

Abstract

Issues of stability and bifurcation phenomena in vehicle lateral dynamics are presented. Based on the assumption of constant driving speed, a second-order nonlinear lateral dynamics model is obtained. Local stability and existence conditions for saddle-node bifurcation appearing in vehicle dynamics with respect to the variations in front wheel steering angle are then derived via system linearization and local bifurcation analysis. Bifurcation phenomena occurring in vehicle lateral dynamics might result in spin and/or system instability. A 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 simulations from an example model demonstrate the theoretical results.

Original language	English
Pages (from-to)	195-207
Number of pages	13
Journal	IEEE Transactions on Intelligent Transportation Systems
Volume	8
Issue number	2
DOIs	https://doi.org/10.1109/TITS.2006.888598
Publication status	Published - 2007 Jun
Externally published	Yes

Keywords

Bifurcation analysis
Perturbation method
Vehicle's lateral dynamics

ASJC Scopus subject areas

Automotive Engineering
Mechanical Engineering
Computer Science Applications

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10.1109/TITS.2006.888598

Cite this

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title = "Elucidating vehicle lateral dynamics using a bifurcation analysis",

abstract = "Issues of stability and bifurcation phenomena in vehicle lateral dynamics are presented. Based on the assumption of constant driving speed, a second-order nonlinear lateral dynamics model is obtained. Local stability and existence conditions for saddle-node bifurcation appearing in vehicle dynamics with respect to the variations in front wheel steering angle are then derived via system linearization and local bifurcation analysis. Bifurcation phenomena occurring in vehicle lateral dynamics might result in spin and/or system instability. A 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 simulations from an example model demonstrate the theoretical results.",

keywords = "Bifurcation analysis, Perturbation method, Vehicle's lateral dynamics",

author = "Liaw, {Der Cherng} and Chiang, {Hsin Han} and Lee, {Tsu Tian}",

note = "Funding Information: Manuscript received October 24, 2005; revised July 10, 2006, September 19, 2006, September 20, 2006, and September 29, 2006. This work was supported by the Program for Promoting Academic Excellence of Universities under Grant 91X104 EX-91-E-FA06-4-4. The Associate Editor for this paper was R. W. Goudy.",

year = "2007",

month = jun,

doi = "10.1109/TITS.2006.888598",

language = "English",

volume = "8",

pages = "195--207",

journal = "IEEE Transactions on Intelligent Transportation Systems",

issn = "1524-9050",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "2",

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TY - JOUR

T1 - Elucidating vehicle lateral dynamics using a bifurcation analysis

AU - Liaw, Der Cherng

AU - Chiang, Hsin Han

AU - Lee, Tsu Tian

N1 - Funding Information: Manuscript received October 24, 2005; revised July 10, 2006, September 19, 2006, September 20, 2006, and September 29, 2006. This work was supported by the Program for Promoting Academic Excellence of Universities under Grant 91X104 EX-91-E-FA06-4-4. The Associate Editor for this paper was R. W. Goudy.

PY - 2007/6

Y1 - 2007/6

N2 - Issues of stability and bifurcation phenomena in vehicle lateral dynamics are presented. Based on the assumption of constant driving speed, a second-order nonlinear lateral dynamics model is obtained. Local stability and existence conditions for saddle-node bifurcation appearing in vehicle dynamics with respect to the variations in front wheel steering angle are then derived via system linearization and local bifurcation analysis. Bifurcation phenomena occurring in vehicle lateral dynamics might result in spin and/or system instability. A 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 simulations from an example model demonstrate the theoretical results.

AB - Issues of stability and bifurcation phenomena in vehicle lateral dynamics are presented. Based on the assumption of constant driving speed, a second-order nonlinear lateral dynamics model is obtained. Local stability and existence conditions for saddle-node bifurcation appearing in vehicle dynamics with respect to the variations in front wheel steering angle are then derived via system linearization and local bifurcation analysis. Bifurcation phenomena occurring in vehicle lateral dynamics might result in spin and/or system instability. A 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 simulations from an example model demonstrate the theoretical results.

KW - Bifurcation analysis

KW - Perturbation method

KW - Vehicle's lateral dynamics

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Elucidating vehicle lateral dynamics using a bifurcation analysis

Abstract

Keywords

ASJC Scopus subject areas

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