Exact differentiation of signals with unbounded higher derivatives

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Abstract

The recently proposed arbitrary-order differentiator based on high-order sliding modes is generalized to ensure exact robust nth-order differentiation of signals with a given functional bound of the (n+l)th derivative. The asymptotic accuracies in the presence of noises and discrete sampling are estimated. The results are applicable for the global observation of system states when the dynamics is unbounded. Computer simulation confirms the applicability of the differentiator.

Original languageEnglish
Title of host publicationProceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5585-5590
Number of pages6
ISBN (Print)1424401712, 9781424401710
DOIs
StatePublished - 2006
Event45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States
Duration: 13 Dec 200615 Dec 2006

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Conference

Conference45th IEEE Conference on Decision and Control 2006, CDC
Country/TerritoryUnited States
CitySan Diego, CA
Period13/12/0615/12/06

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