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) …

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

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 chapter deals with the time discretization of variable-structure differentiators with
discontinuous (ie, set-valued) parts. The explicit and implicit time-discretization schemes are …

Controlling the dynamics of chaotic systems is a task which is often addressed in an
empirical way, particularly for placing sensors and actuators. Here, we show that selecting …

The proposed new discretization of homogeneous filtering differentiators removes the
chattering of outputs and improves the differentiation accuracy in the absence of noises …

This article proposes a discrete-time differentiation algorithm of arbitrary order inspired by
the continuous-time uniform robust exact differentiator and the continuous-time arbitrary …

Crane-based cargo handling at sea is subject to a variety of disturbances linked to the sea
swell. During rough sea states, spatial payload oscillations occur, which render safe loading …

An extended version of a Simulink®-block providing on-line differentiation algorithms based
on discretized sliding-mode concepts is presented. Based on user-specified settings it …

In this paper, a design method of sliding controllers based on control Lyapunov functions for
uncertain LTI systems is proposed. Systems with matched non-vanishing disturbances …