DECOUPLING OF NONLINEAR CONTROL SYSTEM BASED ON LIE SYMMETRY METHOD.
Saved in:
| Title: | DECOUPLING OF NONLINEAR CONTROL SYSTEM BASED ON LIE SYMMETRY METHOD. |
|---|---|
| Authors: | Zheng Mingliang1 lianmingzheng@hnnu.edu.cn, Nie Wenyan1, Cheng Daguang1, Yu Liang1 |
| Source: | Advances in Differential Equations & Control Processes. Jun2024, Vol. 31 Issue 2, p275-283. 9p. |
| Subjects: | Mathematical decoupling, Nonlinear systems, Symmetry, Differential equations |
| Abstract: | The Lie symmetry method is introduced for the decoupling problem of nonlinear control system. Firstly, the key technology of Lie symmetry theory for differential equations is introduced; secondly, a kind of nonlinear control system model is established, and the conditions and properties of Lie symmetry are given in detail. Finally, the decoupling global and local forms of the system are given through the derived distribution of infinitesimal generators. The numerical results show the effectiveness of Lie symmetry method. As long as the infinitesimal generator is constructed, the cascade decoupling form of nonlinear control system could be obtained. [ABSTRACT FROM AUTHOR] |
| Copyright of Advances in Differential Equations & Control Processes is the property of Pushpa Publishing House 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 | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 178056895 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: DECOUPLING OF NONLINEAR CONTROL SYSTEM BASED ON LIE SYMMETRY METHOD. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zheng+Mingliang%22">Zheng Mingliang</searchLink><relatesTo>1</relatesTo><i> lianmingzheng@hnnu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Nie+Wenyan%22">Nie Wenyan</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Cheng+Daguang%22">Cheng Daguang</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Yu+Liang%22">Yu Liang</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Advances+in+Differential+Equations+%26+Control+Processes%22">Advances in Differential Equations & Control Processes</searchLink>. Jun2024, Vol. 31 Issue 2, p275-283. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematical+decoupling%22">Mathematical decoupling</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Symmetry%22">Symmetry</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%22">Differential equations</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The Lie symmetry method is introduced for the decoupling problem of nonlinear control system. Firstly, the key technology of Lie symmetry theory for differential equations is introduced; secondly, a kind of nonlinear control system model is established, and the conditions and properties of Lie symmetry are given in detail. Finally, the decoupling global and local forms of the system are given through the derived distribution of infinitesimal generators. The numerical results show the effectiveness of Lie symmetry method. As long as the infinitesimal generator is constructed, the cascade decoupling form of nonlinear control system could be obtained. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Advances in Differential Equations & Control Processes is the property of Pushpa Publishing House 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=178056895 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.17654/0974324324014 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 275 Subjects: – SubjectFull: Mathematical decoupling Type: general – SubjectFull: Nonlinear systems Type: general – SubjectFull: Symmetry Type: general – SubjectFull: Differential equations Type: general Titles: – TitleFull: DECOUPLING OF NONLINEAR CONTROL SYSTEM BASED ON LIE SYMMETRY METHOD. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zheng Mingliang – PersonEntity: Name: NameFull: Nie Wenyan – PersonEntity: Name: NameFull: Cheng Daguang – PersonEntity: Name: NameFull: Yu Liang IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 3048734X Numbering: – Type: volume Value: 31 – Type: issue Value: 2 Titles: – TitleFull: Advances in Differential Equations & Control Processes Type: main |
| ResultId | 1 |
