Discrete sliding-mode-based differentiators

Jean Pierre Barbot, Arie Levant, Miki Livne, Davin Lunz

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Sliding-mode-based differentiators of the input (t) of the order k yield exact estimations of the derivatives ,..., (k), provided an upper bound of |(k+1)(t)| is available in real-time. Practical application involves discrete noisy sampling of and numeric integration of the internal variables between the measurements. The corresponding asymptotic differentiation accuracies are calculated in the presence of Euler integration and discrete sampling, whereas both independently feature variable or constant time steps. Proposed discrete differentiators restore the optimal accuracy of their continuous-time counterparts. Simulation confirms the presented results.

Original languageEnglish
Title of host publication2016 14th International Workshop on Variable Structure Systems, VSS 2016
PublisherIEEE Computer Society
Pages166-171
Number of pages6
ISBN (Electronic)9781467397889
DOIs
StatePublished - 7 Jul 2016
Event14th International Workshop on Variable Structure Systems, VSS 2016 - Nanjing, China
Duration: 1 Jun 20164 Jun 2016

Publication series

NameProceedings of IEEE International Workshop on Variable Structure Systems
Volume2016-July

Conference

Conference14th International Workshop on Variable Structure Systems, VSS 2016
Country/TerritoryChina
CityNanjing
Period1/06/164/06/16

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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