A Novel Sliding Mode Filter with Implicit-Euler Discretization for Simultaneous Noise Attenuation and Derivative Estimation
Year: 2026
Type: article
Abstract: In control systems, obtaining reliable filtered signals and their derivatives simultaneously from noisecontaminated inputs represents a key challenge. To this end, this paper presents a novel sliding mode filter for filtering noise and estimating derivatives. The proposed filter enhances conventional parabolic sliding mode design by introducing a fast factor that boosts the response speed without sacrificing filtering performance, and the system stability is further analyzed via the Lyapunov method. In addition, the discrete-time algorithm is derived via the implicit-Euler method; the resulting output signals are far less likely to exhibit chattering than those from the conventional explicit-Euler discretization, and numerical simulations verify its effectiveness.
Authors: Zuoping Zhao, Dongyang Li, Zhengjian Lai
Institutions: Yanbian University, Sichuan Vocational and Technical College
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7128359419
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