Global practical tracking by output feedback for a class of non-linear time-delay systems.
| Title: | Global practical tracking by output feedback for a class of non-linear time-delay systems. |
|---|---|
| Authors: | XIANGLEI JIA1, SHENGYUAN XU1 syxu@njust.edu.cn, QIAN MA1, ZHIDONG QI1, YUN ZOU1 |
| Source: | IMA Journal of Mathematical Control & Information. Dec2016, Vol. 33 Issue 4, p1067-1080. 14p. |
| Subject Terms: | *TIME delay systems, *TIME management, *TIME perception, *TRIANGULARIZATION (Mathematics), *MATRICES (Mathematics) |
| Abstract: | This paper considers global practical tracking problem of non-linear time-varying delay systems by output feedback. The class of systems under consideration is assumed to be dominated by a lower-triangular system which is linearly dependent not only on the unmeasurable states, but also on the unmeasurable time-delay states. With the aid of the ideas of universal control and dead zone, an adaptive high-gain observer is constructed with a high-gain exponent. Compared with the existing control scheme, the controller of this paper can be applied to a family of uncertain non-linear time-delay systems with timedelay zero-dynamics, which is due to the introduction of the high-gain exponent. By using a Lyapunov- Krasovskii functional, the time-varying delay phenomenon is successfully dealt with, and the complexity of the compensator and controller does not increase. Finally, an example is given to illustrate the usefulness of our result. [ABSTRACT FROM AUTHOR] |
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| Items | – Name: Title Label: Title Group: Ti Data: Global practical tracking by output feedback for a class of non-linear time-delay systems. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22XIANGLEI+JIA%22">XIANGLEI JIA</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22SHENGYUAN+XU%22">SHENGYUAN XU</searchLink><relatesTo>1</relatesTo><i> syxu@njust.edu.cn</i><br /><searchLink fieldCode="AR" term="%22QIAN+MA%22">QIAN MA</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22ZHIDONG+QI%22">ZHIDONG QI</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22YUN+ZOU%22">YUN ZOU</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IMA+Journal+of+Mathematical+Control+%26+Information%22">IMA Journal of Mathematical Control & Information</searchLink>. Dec2016, Vol. 33 Issue 4, p1067-1080. 14p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22TIME+delay+systems%22">TIME delay systems</searchLink><br />*<searchLink fieldCode="DE" term="%22TIME+management%22">TIME management</searchLink><br />*<searchLink fieldCode="DE" term="%22TIME+perception%22">TIME perception</searchLink><br />*<searchLink fieldCode="DE" term="%22TRIANGULARIZATION+%28Mathematics%29%22">TRIANGULARIZATION (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22MATRICES+%28Mathematics%29%22">MATRICES (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper considers global practical tracking problem of non-linear time-varying delay systems by output feedback. The class of systems under consideration is assumed to be dominated by a lower-triangular system which is linearly dependent not only on the unmeasurable states, but also on the unmeasurable time-delay states. With the aid of the ideas of universal control and dead zone, an adaptive high-gain observer is constructed with a high-gain exponent. Compared with the existing control scheme, the controller of this paper can be applied to a family of uncertain non-linear time-delay systems with timedelay zero-dynamics, which is due to the introduction of the high-gain exponent. By using a Lyapunov- Krasovskii functional, the time-varying delay phenomenon is successfully dealt with, and the complexity of the compensator and controller does not increase. Finally, an example is given to illustrate the usefulness of our result. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IMA Journal of Mathematical Control & Information is the property of Oxford University Press / USA and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. 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: 10.1093/imamci/dnv017 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 1067 Subjects: – SubjectFull: TIME delay systems Type: general – SubjectFull: TIME management Type: general – SubjectFull: TIME perception Type: general – SubjectFull: TRIANGULARIZATION (Mathematics) Type: general – SubjectFull: MATRICES (Mathematics) Type: general Titles: – TitleFull: Global practical tracking by output feedback for a class of non-linear time-delay systems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: XIANGLEI JIA – PersonEntity: Name: NameFull: SHENGYUAN XU – PersonEntity: Name: NameFull: QIAN MA – PersonEntity: Name: NameFull: ZHIDONG QI – PersonEntity: Name: NameFull: YUN ZOU IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2016 Type: published Y: 2016 Identifiers: – Type: issn-print Value: 02650754 Numbering: – Type: volume Value: 33 – Type: issue Value: 4 Titles: – TitleFull: IMA Journal of Mathematical Control & Information Type: main |
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