Carvajal-Rubio, José E.Loukianov, AlexanderSánchez-Torres, Juan D.Defoort, Michael2021-04-292021-04-292019-09J. 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.2019.8884567.978-1-7281-4840-3https://hdl.handle.net/11117/6577This 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.engHomogeneous DifferentiatorsSliding Mode DifferentiatorsHomogeneous SystemsDiscrete-Time Systemsinfo:eu-repo/semantics/article