Second-order sliding-mode differentiators: an experimental comparative analysis using Van der Pol oscillator

Hafiz Ahmed, Héctor Ríos, Beshah Ayalew, Yongqiang Wang

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

This article provides a comparative study of four different second-order sliding-mode (SOSM) differentiators proposed in the literature, namely, standard higher-order sliding-mode (HOSM) differentiator, non-homogeneous HOSM differentiator, uniform robust exact differentiator and hybrid fixed-time differentiator. Based on sliding-mode principles, these differentiators can provide robust exact differentiation with finite/fixed-time convergence. First, a comprehensive summary of the different methods is provided. Then, the differentiators are applied experimentally to estimate the states of a Van der Pol oscillator. Through experiments, it is shown that the different differentiators outperformed a Kalman-like observer, high-gain differentiator and extended Kalman filter. Finally, some suggestions are provided on the selection of SOSM differentiators for various applications.

Original languageEnglish
Pages (from-to)2100-2112
Number of pages13
JournalInternational Journal of Control
Volume91
Issue number9
DOIs
StatePublished - 2 Sep 2018

Bibliographical note

Funding Information:
Consejo Nacional de Ciencia y Tecnología [grant number 270504].

Funding Information:
Consejo Nacional de Ciencia y Tecnolog?a [grant number 270504].

Publisher Copyright:
© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group.

Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

Keywords

  • Sliding-mode differentiation
  • Van der Pol oscillator
  • real-time estimation

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