This paper presents a novel filter based on the sliding mode method for filtering noise and extracting reliable signals from noisy signals by enhancing Levant's sliding mode filter. Specifically, the proposed sliding mode filter takes advantage of the generalized signum function to adjust the gain in different regions of phase space, thereby decreasing the overshoot during the response phase. Additionally, the discrete‐time implementation of the proposed sliding mode filter is achieved by utilizing the implicit‐Euler algorithm, which effectively eliminates chattering in the output. The effectiveness of the presented sliding mode filter is substantiated via numerical simulation cases.

中文翻译：

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一种基于滑模方法的新型滤波器，具有离散时间实现，用于噪声衰减和微分


本文提出了一种基于滑模法的新型滤波器，通过增强 Levant 的滑模滤波器来过滤噪声并从噪声信号中提取可靠的信号。具体来说，所提出的滑模滤波器利用广义的 signum 函数来调整相空间不同区域的增益，从而减少响应阶段的过冲。此外，所提出的滑模滤波器的离散时间实现是通过利用隐式欧拉算法实现的，该算法有效地消除了输出中的颤振。所提出的滑模滤波器的有效性通过数值模拟实例得到证实。