This paper investigates, a new methodology for non-linear active suspension systems (ASS) with static output feedback (SOF) control. The nonlinear ASS is represented by a Takagi–Sugeno fuzzy control ASS in continuous time. A SOF control presented by a family of linear matrix inequalities (LMIs) guarantees the asymptotic stability and ensures certain an $H_{\infty }$ performance level. This methodology motivated this research, where in the context of active suspension (AS) systems, the guaranteed performance correspond to ride comfort in the presence of road disturbances. Thus, a controller is developed for a quarter-car model with active suspension. The Simulated results with root-mean-square (RMS) values illustrate the effectiveness of the proposed approach.

本文研究了一种具有静态输出反馈 (SOF) 控制的非线性主动悬架系统 (ASS) 的新方法。非线性 ASS 由连续时间的 Takagi-Sugeno 模糊控制 ASS 表示。由一系列线性矩阵不等式 (LMI) 提供的 SOF 控制保证渐近稳定性并确保某些$H_{\infty }$性能水平。这种方法激发了这项研究，在主动悬架 (AS) 系统的背景下，保证的性能对应于存在道路干扰时的乘坐舒适性。因此，为具有主动悬架的四分之一汽车模型开发了控制器。具有均方根 (RMS) 值的模拟结果说明了所提出方法的有效性。