Proper discretization of homogeneous differentiators

Miki Livne; Arie Levant

doi:https://doi.org/10.1016/j.automatica.2014.05.028

Proper discretization of homogeneous differentiators

Miki Livne, Arie Levant

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

Homogeneous sliding-mode-based differentiators (HD) are known to provide for the high-accuracy robust estimation of derivatives in the presence of sampling noises and discrete measurements, provided that the differentiator dynamics evolve in continuous time. The popular one-step Euler discrete-time implementation is proved to cause differentiation accuracy deterioration, if the differentiation order exceeds 1. A novel discrete-time realization of the HD is proposed, which preserves the ultimate accuracy of the continuous-time HD also with discrete measurements.

Original language	English
Pages (from-to)	2007-2014
Number of pages	8
Journal	Automatica
Volume	50
Issue number	8
DOIs	https://doi.org/10.1016/j.automatica.2014.05.028
State	Published - Aug 2014

Keywords

Finite-time stability
Observation
Sliding mode control

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

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https://doi.org/10.1016/j.automatica.2014.05.028

Cite this

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abstract = "Homogeneous sliding-mode-based differentiators (HD) are known to provide for the high-accuracy robust estimation of derivatives in the presence of sampling noises and discrete measurements, provided that the differentiator dynamics evolve in continuous time. The popular one-step Euler discrete-time implementation is proved to cause differentiation accuracy deterioration, if the differentiation order exceeds 1. A novel discrete-time realization of the HD is proposed, which preserves the ultimate accuracy of the continuous-time HD also with discrete measurements.",

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AB - Homogeneous sliding-mode-based differentiators (HD) are known to provide for the high-accuracy robust estimation of derivatives in the presence of sampling noises and discrete measurements, provided that the differentiator dynamics evolve in continuous time. The popular one-step Euler discrete-time implementation is proved to cause differentiation accuracy deterioration, if the differentiation order exceeds 1. A novel discrete-time realization of the HD is proposed, which preserves the ultimate accuracy of the continuous-time HD also with discrete measurements.

KW - Finite-time stability

KW - Observation

KW - Sliding mode control

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DO - https://doi.org/10.1016/j.automatica.2014.05.028

M3 - مقالة

SN - 0005-1098

VL - 50

SP - 2007

EP - 2014

JO - Automatica

JF - Automatica

IS - 8

ER -

Proper discretization of homogeneous differentiators

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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