Robust exact uniformly convergent arbitrary order differentiator.
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| Title: | Robust exact uniformly convergent arbitrary order differentiator. |
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| Authors: | Angulo, Marco Tulio1 darkbyte@gmail.com, Moreno, Jaime A.2 jmorenop@ii.unam.mx, Fridman, Leonid3 lfridman@unam.mx |
| Source: | Automatica. Aug2013, Vol. 49 Issue 8, p2489-2495. 7p. |
| Subjects: | Robust control, Arbitrary constants, Differentiator circuits, Hypothesis, Computer networks, Social groups |
| Abstract: | Abstract: An arbitrary order differentiator that, in the absence of noise, converges to the true derivatives of the signal after a finite time independent of the initial differentiator error is presented. The only assumption on a signal to be differentiated times is that its -th derivative is uniformly bounded by a known constant. The proposed differentiator switches from a newly designed uniform differentiator to the classical High-Order Sliding Mode (HOSM) differentiator. The Uniform part drives the differentiation error trajectories into a compact neighborhood of the origin in a time that is independent of the initial differentiation error. Then, the HOSM differentiator is used to bring the differentiation error to zero in finite-time. [Copyright &y& Elsevier] |
| Copyright of Automatica is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 89137378 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Robust exact uniformly convergent arbitrary order differentiator. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Angulo%2C+Marco+Tulio%22">Angulo, Marco Tulio</searchLink><relatesTo>1</relatesTo><i> darkbyte@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Moreno%2C+Jaime+A%2E%22">Moreno, Jaime A.</searchLink><relatesTo>2</relatesTo><i> jmorenop@ii.unam.mx</i><br /><searchLink fieldCode="AR" term="%22Fridman%2C+Leonid%22">Fridman, Leonid</searchLink><relatesTo>3</relatesTo><i> lfridman@unam.mx</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Automatica%22">Automatica</searchLink>. Aug2013, Vol. 49 Issue 8, p2489-2495. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink><br /><searchLink fieldCode="DE" term="%22Arbitrary+constants%22">Arbitrary constants</searchLink><br /><searchLink fieldCode="DE" term="%22Differentiator+circuits%22">Differentiator circuits</searchLink><br /><searchLink fieldCode="DE" term="%22Hypothesis%22">Hypothesis</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+networks%22">Computer networks</searchLink><br /><searchLink fieldCode="DE" term="%22Social+groups%22">Social groups</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: An arbitrary order differentiator that, in the absence of noise, converges to the true derivatives of the signal after a finite time independent of the initial differentiator error is presented. The only assumption on a signal to be differentiated times is that its -th derivative is uniformly bounded by a known constant. The proposed differentiator switches from a newly designed uniform differentiator to the classical High-Order Sliding Mode (HOSM) differentiator. The Uniform part drives the differentiation error trajectories into a compact neighborhood of the origin in a time that is independent of the initial differentiation error. Then, the HOSM differentiator is used to bring the differentiation error to zero in finite-time. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Automatica is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.automatica.2013.04.034 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 2489 Subjects: – SubjectFull: Robust control Type: general – SubjectFull: Arbitrary constants Type: general – SubjectFull: Differentiator circuits Type: general – SubjectFull: Hypothesis Type: general – SubjectFull: Computer networks Type: general – SubjectFull: Social groups Type: general Titles: – TitleFull: Robust exact uniformly convergent arbitrary order differentiator. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Angulo, Marco Tulio – PersonEntity: Name: NameFull: Moreno, Jaime A. – PersonEntity: Name: NameFull: Fridman, Leonid IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2013 Type: published Y: 2013 Identifiers: – Type: issn-print Value: 00051098 Numbering: – Type: volume Value: 49 – Type: issue Value: 8 Titles: – TitleFull: Automatica Type: main |
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