Liu, W., Xiong, L., Leng, B., Meng, H. et al., "Vehicle Stability Criterion Research Based on Phase Plane Method," SAE Technical Paper 2017-01-1560, 2017, doi:10.4271/2017-01-1560.
In this paper, a novel method is proposed to establish the vehicle yaw stability criterion based on the sideslip angle-yaw rate (β-r) phase plane method. First, nonlinear two degrees of freedom vehicle analysis model is established by adopting the Magic Formula of nonlinear tire model. Then, according to the model in the Matlab/Simulink environment, the β-r phase plane is gained. Emphatically, the effects of different driving conditions (front wheels steering angle, road adhesion coefficient and speed) on the stability boundaries of the phase plane are analyzed. Through a large number of simulation analysis, results show that there are two types of phase plane: curve stability region and diamond stability region, and the judgment method of the vehicle stability domain type under different driving conditions is solved. Finally, different conditions of stability boundary plane database look-up tables are set up, besides, the effects of different conditions on the stability boundary’s relevant design parameters are investigated. This research provides a theoretical basis for the intervention of the stability control system algorithms.