Filtering differentiators are capable both of rejecting large noises and exactly differentiating
smooth signals. Even unbounded noises are rejected provided their local average is small …

A complete review of the known differentiators and their time‐discretizations have been
addressed in this study. To resolve the drawbacks of the explicit (forward Euler) …

Sliding-mode-based differentiation of the input f (t) yields exact estimations of the derivatives
f ̇,…, f (n), provided an upper bound L (t) of| f (n+ 1)(t)| is available in real-time. In practice it …

The problem of exactly differentiating a signal with bounded second derivative is
considered. A class of differentiators is proposed, which converge to the derivative of such a …

The proposed simple modification of discrete homogeneous sliding-mode-based
differentiators improves the accuracy and significantly lowers the output chattering in the …

The paper proposes a discretization (sampled-time implementation) algorithm for a class of
homogeneous controllers for linear time-invariant (LTI) systems preserving the finite-time …

This paper is dedicated to the experimental analysis of discrete-time differentiators
implemented in closed-loop control systems. To this end, an electro-pneumatic system has …

This article presents explicit and implicit discrete‐time realizations for a class of
homogeneous sliding mode‐based differentiators. The proposed approach relies on the …

This paper presents explicit and implicit discrete-time realizations for the robust exact
filtering differentiator, aiming to facilitate an adequate posterior implementation structure in …

In this article, we study the Euler's discretization effect on a sliding-mode control system with
a supertwisting algorithm (STA). We start from the undisturbed STA and show that the …