Exact differentiation of signals with unbounded higher derivatives

Arie Levant

doi:10.1109/cdc.2006.377165

Exact differentiation of signals with unbounded higher derivatives

Arie Levant

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5585-5590
Number of pages	6
ISBN (Print)	1424401712, 9781424401710
DOIs	https://doi.org/10.1109/cdc.2006.377165
State	Published - 2006
Event	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006

Publication series

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

Conference

Conference	45th IEEE Conference on Decision and Control 2006, CDC
Country/Territory	United States
City	San Diego, CA
Period	13/12/06 → 15/12/06

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10.1109/cdc.2006.377165

Cite this

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title = "Exact differentiation of signals with unbounded higher derivatives",

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.",

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year = "2006",

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note = "null ; Conference date: 13-12-2006 Through 15-12-2006",

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Levant, A 2006, Exact differentiation of signals with unbounded higher derivatives. in Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC., 4177719, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 5585-5590, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 13/12/06. https://doi.org/10.1109/cdc.2006.377165

Exact differentiation of signals with unbounded higher derivatives. / Levant, Arie.

Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. Institute of Electrical and Electronics Engineers Inc., 2006. p. 5585-5590 4177719 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Exact differentiation of signals with unbounded higher derivatives

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