Discretization of the Robust Exact Filtering Differentiator Based on the Matching Approach
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IEEE
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This paper presents a time discretization of the robust exact filtering differentiator, a sliding mode differentiator coupled to filter, which provides a suitable approximation of the derivatives for some noisy signals. This realization rely on the stabilization of a pseudo linear discrete-time system, it is attained through the matching approach. As in the original case, the convergence of the robust exact filtering differentiator depends on the bound of a higher-order derivative. Nevertheless, this new realization can be implemented with or without the knowledge of such constant. It is demonstrated that the system trajectories converge to a neighborhood of the origin for a free-noise input. Finally, comparisons between the behavior of the differentiator with different design parameters are presented.
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Sliding Mode Differentiators, Homogeneous Differentiators, Homogeneous Systems, Discrete-Time Systems
Citación
J. E. Carvajal-Rubio, J. D. Sánchez-Torres, M. Defoort, A. Loukianov and M. Djemai. Discretization of the Robust Exact Filtering Differentiator Based on the Matching Approach. 2020 17th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), Mexico City, Mexico, 2020, pp. 1-6, doi: 10.1109/CCE50788.2020.9299184.