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 journalArticle

2 Scopus citations

Abstract

© 2018, © 2018 Informa UK Limited, trading as Taylor & Francis Group. 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 languageAmerican English
Pages (from-to)2100-2112
Number of pages13
JournalInternational Journal of Control
DOIs
StatePublished - 2 Sep 2018
Externally publishedYes

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