A New Sliding Mode Filter With an Exponential Approaching Term and Its Discretization
Abstract
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.
Fields of Study & Subjects
Advanced Adaptive Filtering Techniques
Target Tracking and Data Fusion in Sensor Networks
Structural Health Monitoring Techniques
Publication details
- Journal / source
- International Journal of Robust and Nonlinear Control
- Volume
- 36
- Issue
- 6
- Pages
- 3497–3514
- Publication date
- 2 January 2026
- Language
- EN