KMS Of Academy of mathematics and systems sciences, CAS
| Boundary stabilization for axially moving Kirchhoff string under fractional PI control | |
| Cheng, Yi1; Guo, Bao-Zhu2,3,4; Wu, Yuhu5 | |
| 2022-02-22 | |
| Source Publication | ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
 |
| ISSN | 0044-2267 |
| Pages | 22 |
| Abstract | In this paper, we investigate vibration control for an axially moving Kirchhoff string. A fractional PI boundary control is applied transversally to the right boundary and the transverse vibration of the system is shown to be suppressed. By constructing an auxiliary equivalent system (PDE-ODE) and a novel energy like function, the well-posedness and exponential stability of the closed-loop system are established by means of the Faedo-Galerkin method and the Lyapunov method. The effectiveness of the proposed controller is verified by a numerical simulation using finite element method. |
| DOI | 10.1002/zamm.202100524 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[62173062] ; National Natural Science Foundation of China[12131008] ; Natural Science Foundation of Liaoning Province[2020-MS-290] |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| WOS ID | WOS:000759079100001 |
| Publisher | WILEY-V C H VERLAG GMBH |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60015 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Guo, Bao-Zhu |
| Affiliation | 1.Bohai Univ, Sch Math Sci, Jinzhou, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 4.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 5.Dalian Univ Technol, Sch Control Sci & Engn, Dalian, Peoples R China |
| Recommended Citation GB/T 7714 | Cheng, Yi,Guo, Bao-Zhu,Wu, Yuhu. Boundary stabilization for axially moving Kirchhoff string under fractional PI control[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2022:22. |
| APA | Cheng, Yi,Guo, Bao-Zhu,&Wu, Yuhu.(2022).Boundary stabilization for axially moving Kirchhoff string under fractional PI control.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,22. |
| MLA | Cheng, Yi,et al."Boundary stabilization for axially moving Kirchhoff string under fractional PI control".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2022):22. |
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