含不确定参数的车辆动力学模型横向稳定性分析

Lateral Stability Analysis for Rail Vehicle Dynamic Models with Uncertain Parameters

考虑含有不确定独立参数摄动和非线性不确定性的车辆动力学模型，应用Ｌｙａｐｕｎｏｖ稳定性理论和矩阵代数技巧导出系统的横向稳定性准则。准则给出的扰动界关于参数空间的原点可以是非对称的，充分利用了不确定性的结构特点，扩大了稳定参数域。对承受不确定悬挂的车辆轮对的横向稳定性进行了鲁棒性分析，并与已有的结果进行了比较。

Consider the rail vehicle dynamic models with uncertain parameters and nonlinear uncertainties. Using the Lyapunov stability theory and employing the special properties of matrices, a lateral stability criterion for the system is derived. The robust stability bounds obtained are not necessarily symmetric with respect to the origin in the parameter space, and can significantly enlarge the stability region for the uncertain parameters. The robust stability of a rail vehicle wheelset subjected to uncertain suspension is analyzed by using the proposed approach, and the results obtained in this paper are compared with existing ones.