Estimation of the stability region of a vehicle in plane motion using a topological approach Online publication date: Fri, 15-Aug-2003
by Young Eun Ko, Jang Moo Lee
International Journal of Vehicle Design (IJVD), Vol. 30, No. 3, 2002
Abstract: A rigorous method is proposed to determine the stability region of a vehicle in-plane motion using a topological approach. An algorithm based on the trajectory reversing technique is used to materialise a topology theorem, which enables the exact stability region to be found. A stability criterion for the critical cornering is pr posed. The criterion can guarantee the minimum stability of a system as well as the elimination of spiral motion. For the numerical analysis, the non-linear vehicle model of a mid-size car with three degrees-of-freedom – longitudinal, lateral and yaw – is employed. Through several numerical examples, the following are figured out: (1) the variation of driving conditions such as vehicle speed, road friction, and steering input leads to a significant change of the stability region, and (2) the variation of the vehicle characteristics such as weight distribution and cornering stiffness of tire results in a slight change of the stability region.
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