A New Sliding Mode Filter With an Exponential Approaching Term and Its Discretization

ABSTRACT This paper presents a new sliding mode filter for noise attenuation and derivative estimation. The proposed filter is an improved version of Kamal et al.'s sliding mode filter by incorporating an exponential approaching term to achieve a rapid response and alleviate overshoot during the response phase to some extent. The stability of the system is analyzed using the Lyapunov approach. In addition, the discrete‐time implementation of the proposed filter employs the semi‐implicit Euler scheme, and by exploiting the equivalence of the signum and saturation functions, chattering‐free outputs are achieved. Its performance is validated through numerical simulations.