Nonlinear dynamics and stability analysis of vehicle plane motions

Abstract

In this article, the problems of dynamics and stability for vehicle planar motion systems have been investigated. By introducing a so-called joint-point locus approach, equilibria of the system and their associated stability properties are given geometrically. With this method, it is discovered that the difference between the front and the rear steering angles plays a key role in vehicle system dynamics and that the topological structure of the phase portrait and the types of bifurcations are different from those published previously. In particular, the vehicle system could still be stabilized even when pushed to work in a certain severely nonlinear region, by applying extremely large steering angles. However, it is worth noticing that the attractive domain of the stable equilibrium is very narrow. These developments might prove to be important in active steering control design. Numerical experiments are carried out to illustrate the potentials of the proposed techniques.

Keywords:

• Active steering control
• Bifurcation
• Joint-point locus method
• Nonlinear system dynamics

Acknowledgements

The authors would like to thank the reviewers for their very helpful and valuable comments, which have raised the quality and improved the presentation of the article.