KMS Of Academy of mathematics and systems sciences, CAS
Boundary Stability Criterion for a Nonlinear Axially Moving Beam | |
Cheng, Yi1; Wu, Yuhu2,3; Guo, Bao-Zhu4,5 | |
2022-11-01 | |
发表期刊 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL |
ISSN | 0018-9286 |
卷号 | 67期号:11页码:5714-5729 |
摘要 | This article deals with, in the framework of absolute stability, boundary stabilization for a nonlinear axially moving beam under boundary velocity feedback controls. The nonlinear boundary control that satisfies a slope-sector condition covering many types of nonlinear control schemes is a negative feedback of the transverse velocity at the right eyelet of the moving beam. Under the nonlinear control scheme, the well-posedness of the nonlinear partial differential equation, which depends continuously on the initial value is investigated by means of the Faedo-Galerkin approximation and priori estimates. By exploiting the integral-type multiplier method, the exponential stability of the closed-loop system is established, where a novel energy like function is constructed. The numerical simulation examples using the finite element method are presented to illustrate the effectiveness of the established criterion of the controller. |
关键词 | Mathematical models Stability criteria Structural beams Vibrations Strain Numerical stability Feedback control Absolute stabilization axially moving beam boundary control exponential stability |
DOI | 10.1109/TAC.2021.3124754 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[61773090] ; National Natural Science Foundation of China[62173062] ; National Natural Science Foundation of China[12131008] |
WOS研究方向 | Automation & Control Systems ; Engineering |
WOS类目 | Automation & Control Systems ; Engineering, Electrical & Electronic |
WOS记录号 | WOS:000873894800006 |
出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/60790 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Wu, Yuhu |
作者单位 | 1.Bohai Univ, Sch Math Sci, Jinzhou 121013, Peoples R China 2.Dalian Univ Technol, Key Lab Intelligent Control & Optimizat Ind Equip, Minist Educ, Dalian 116024, Peoples R China 3.Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China 4.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 5.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Cheng, Yi,Wu, Yuhu,Guo, Bao-Zhu. Boundary Stability Criterion for a Nonlinear Axially Moving Beam[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2022,67(11):5714-5729. |
APA | Cheng, Yi,Wu, Yuhu,&Guo, Bao-Zhu.(2022).Boundary Stability Criterion for a Nonlinear Axially Moving Beam.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,67(11),5714-5729. |
MLA | Cheng, Yi,et al."Boundary Stability Criterion for a Nonlinear Axially Moving Beam".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 67.11(2022):5714-5729. |
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