On functional observers for linear systems with unknown inputs and HOSM differentiators.
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| Title: | On functional observers for linear systems with unknown inputs and HOSM differentiators. |
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| Authors: | Angulo, Marco Tulio1 darkbyte@gmail.com, Moreno, Jaime A.2 jmorenop@ii.unam.mx, Fridman, Leonid3 darkbyte@gmail.com |
| Source: | Journal of the Franklin Institute. Apr2014, Vol. 351 Issue 4, p1982-1994. 13p. |
| Subjects: | Sliding mode control, Functional calculus, Observability (Control theory), Linear systems, Differentiation (Mathematics) |
| Abstract: | Abstract: The problem of constructing functional observers for linear systems with unknown inputs is considered. Necessary and sufficient conditions for the existence of a proper observer (without differentiations) are revisited. A simple and explicit form of a functional observer is presented. It is shown that when such observer is not proper, it is still possible to use the High-Order Sliding Mode differentiator to implement it. Nevertheless, in such case, additional conditions on the system and the unknown input are required. [Copyright &y& Elsevier] |
| Copyright of Journal of the Franklin Institute 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: 95126931 AccessLevel: 6 PubType: Periodical PubTypeId: serialPeriodical PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On functional observers for linear systems with unknown inputs and HOSM differentiators. – 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> darkbyte@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+the+Franklin+Institute%22">Journal of the Franklin Institute</searchLink>. Apr2014, Vol. 351 Issue 4, p1982-1994. 13p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Sliding+mode+control%22">Sliding mode control</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+calculus%22">Functional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Observability+%28Control+theory%29%22">Observability (Control theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+systems%22">Linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Differentiation+%28Mathematics%29%22">Differentiation (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: The problem of constructing functional observers for linear systems with unknown inputs is considered. Necessary and sufficient conditions for the existence of a proper observer (without differentiations) are revisited. A simple and explicit form of a functional observer is presented. It is shown that when such observer is not proper, it is still possible to use the High-Order Sliding Mode differentiator to implement it. Nevertheless, in such case, additional conditions on the system and the unknown input are required. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of the Franklin Institute 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.jfranklin.2013.12.001 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 13 StartPage: 1982 Subjects: – SubjectFull: Sliding mode control Type: general – SubjectFull: Functional calculus Type: general – SubjectFull: Observability (Control theory) Type: general – SubjectFull: Linear systems Type: general – SubjectFull: Differentiation (Mathematics) Type: general Titles: – TitleFull: On functional observers for linear systems with unknown inputs and HOSM differentiators. 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: 04 Text: Apr2014 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 00160032 Numbering: – Type: volume Value: 351 – Type: issue Value: 4 Titles: – TitleFull: Journal of the Franklin Institute Type: main |
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