Two-step differentiator for delayed signal

TL;DR

This paper introduces a high-order two-step differentiator that corrects signal delay and estimates undelayed derivatives, with proven convergence and demonstrated effectiveness through simulations.

Contribution

It proposes a novel two-step differentiator method capable of handling delayed signals and estimating derivatives, with convergence guarantees and simple implementation.

Findings

Effective delay correction demonstrated in simulations

Convergence conditions established for the estimator

Simple implementation with practical applications

Abstract

This paper presents a high-order differentiator for delayed measurement signal. The proposed differentiator not only can correct the delay in signal, but aslo can estimate the undelayed derivatives. The differentiator consists of two-step algorithms with the delayed time instant. Conditions are given ensuring convergence of the estimation error for the given delay in the signals. The merits of method include its simple implementation and interesting application. Numerical simulations illustrate the effectiveness of the proposed differentiator.