This work solves the stability problem of a vehicle suspension with stochastic disturbance by designing an adaptive controller. The model of a quarter vehicle subjected to noise excitation is considered. The stochastic perturbance is realized by the roughness of the road and the vehicle moving with constant velocity. In the control design procedure, fuzzy logic systems are used to approximate unknown nonlinear functions. Meanwhile, the mean value theorem is employed to ensure the existence of the affine virtual control variables and control input. The backstepping technique is applied to construct the ideal controller. On the basis of Lyapunov stability theory, the proposed control method proves that the displacement and speed of the vehicle is reduced to a level ascertained by a true “desired” conceptual suspension reference model. Finally, the effectiveness of the proposed method is verified by simulation of electromagnetic actuator servo system.

中文翻译：

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带电磁作动器的车辆悬架模糊自适应非线性随机控制

这项工作通过设计自适应控制器解决了具有随机扰动的车辆悬架的稳定性问题。考虑了受到噪声激励的四分之一车辆的模型。随机扰动是通过道路的粗糙度和车辆匀速行驶来实现的。在控制设计过程中，模糊逻辑系统用于逼近未知的非线性函数。同时，采用均值定理保证仿射虚拟控制变量和控制输入的存在。应用反推技术构建理想控制器。在李雅普诺夫稳定性理论的基础上，所提出的控制方法证明车辆的位移和速度降低到由真正“理想”概念悬架参考模型确定的水平。最后，