On the Discretization of a Class of Homogeneous Differentiators
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Date
2019-09
Authors
Carvajal-Rubio, José E.
Loukianov, Alexander
Sánchez-Torres, Juan D.
Defoort, Michael
Journal Title
Journal ISSN
Volume Title
Publisher
IEEE
Abstract
Description
This paper proposes explicit and implicit discrete-time realizations for a class of homogeneous sliding-mode-based differentiators. The proposed approach relies on the exact discretization of the continuous differentiator. Also, it is demonstrated that the proposed implicit discretization always exists, is non-anticipative and unique. A numerical simulation shows the better performance of the implicit scheme over the proposed and the referenced explicit implementations.
Keywords
Homogeneous Differentiators, Sliding Mode Differentiators, Homogeneous Systems, Discrete-Time Systems
Citation
J. E. Carvajal-Rubio, A. Loukianov, J. D. Sánchez-Torres and M. Defoort, "On the Discretization of a Class of Homogeneous Differentiators," 2019 16th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), Mexico City, Mexico, 2019, pp. 1-6, doi: 10.1109/ICEEE.2019.8884567.