Abstract
In this paper, the stability and Bautin bifurcation of a four-wheel-steering (4WS) vehicle system, by considering driver steering control, are investigated. By using the central manifold theory and projection method, the first and second Lyapunov coefficients are calculated to predict the type of Hopf bifurcation of the vehicle system. The topological structure of Bautin bifurcation, a degenerate Hopf bifurcation of the 4WS vehicle system, is presented in parameter space, and it reveals the dynamics of the vehicle system of different choices of control parameters. The influences of system parameters on critical values of the bifurcation parameter are also analyzed. It is shown that with the increase in the frontal visibility distance of the driver control strategy coefficient and the cornering stiffness coefficients of rear wheels, the critical speed increases. Nevertheless, the critical speed decreases with the increase in the distance from the center of gravity of the vehicle to the front axles, Driver's perceptual time delay, and cornering stiffness coefficients of the front wheels.
Original language | English |
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Article number | 083122 |
Number of pages | 21 |
Journal | Chaos |
Volume | 33 |
Issue number | 8 |
Early online date | 7 Aug 2023 |
DOIs | |
Publication status | Published - 7 Aug 2023 |
Bibliographical note
AcknowledgmentsThis work is supported by the National Natural Science Foundation of China (Nos. 12202168, 12072291,12172306).
Keywords
- 4WS vehicle
- stability analysis
- Bautin bifurcation
- center manifold
- projection method