This paper presents the disturbance and uncertainty suppression by using the nonlinear disturbance observer and an extended state observer for a nonlinear active magnetic bearing system. Otherwise, the chattering free is assured by a fuzzy controller, where the fixed sliding mode surface boundary is regulated by fuzzy boundary layer. The stability of the system is guaranteed by Lyapunov condition. First, the nonlinear disturbance observer is presented to estimate the disturbance from outside of the system. Second, the system parameter variations are estimated by an extended state observer with the construction via the estimated disturbance value. Third, the proportional–integral–derivative sliding mode surface has been constructed due to the chattering values that appear from the high-frequency switching control values. Fourth, these chattering values are reduced by using a Mamdani fuzzy logic control. The proposed control methodology was given by the MATLAB simulation. The overshoot value that is equal to zero, narrow settling time, and the average distance tracking error value which is quite small are archived.

中文翻译：

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基于不确定性和扰动补偿器的悬浮式主动磁轴承系统模糊滑模控制边界层的有效性

本文介绍了使用非线性干扰观测器和扩展状态观测器对非线性主动磁轴承系统的干扰和不确定性抑制。否则，无颤振由模糊控制器保证，其中固定滑模表面边界由模糊边界层调节。系统的稳定性由李雅普诺夫条件保证。首先，提出了非线性扰动观测器来估计来自系统外部的扰动。其次，系统参数变化是由扩展状态观察器通过估计的扰动值估计的。第三，由于高频开关控制值中出现的颤振值，已经构建了比例-积分-微分滑模面。第四，这些颤动值通过使用 Mamdani 模糊逻辑控制来减少。MATLAB 仿真给出了所提出的控制方法。过冲值为零，稳定时间窄，平均距离跟踪误差值很小，均存档。