Research on Robust Stability of Vehicle Under Crosswind Disturbance Based on \({\varvec{H}}_{\infty }\) Norm

The ability of the car to resist external disturbance during driving, i.e., robust stability is one of the most important performance requirements of the car, which seriously affects the safety of high-speed driving of the car. However, due to many factors affecting the vehicle handling stability, the evaluation methods and indexes used by different manufacturers and testers for handling stability tests are not consistent, making it difficult to form a recognized objective evaluation system with relying heavily on subjective evaluation, which has become the key issue hindering the development of vehicle handling stability performance. Based on \(H_{\infty }\) robust control theory, an objective quantitative evaluation index of vehicle robust stability based on \(H_{\infty }\) norm is proposed in this paper. The two-degree-of-freedom vehicle model is used as the research object, and the crosswind disturbance environment is used as the research scenario. The index is analyzed from four aspects: the position of the crosswind action point, the cornering stiffness of the front and rear tires, different conditions of road surface adhesion and the open-loop system and the closed-loop system. The results show that \(H_{\infty }\) norm is an objective index which is suitable for vehicle robust stability evaluation, and can provide the important theoretical guidance for vehicle structure design and vehicle stability controller design.