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Boundary control for a vibrating string with asymmetrically constrained outputs
Meng, Tingting1; He, Wei2,4; Liu, Jin-Kun3
2018-02-01
Source PublicationINTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN1049-8923
Volume28Issue:3Pages:798-807
AbstractIn this paper, vibration control and output constraint are addressed for a flexible string system. A boundary controller is designed to suppress vibrations and asymmetrically constrain endpoint displacement by adopting tangent functions into a barrier Lyapunov function. With the proposed boundary control law, the closed-loop system is stabilized asymptotically and even uniform boundedness is achieved. Simulation results aim to prove the effectiveness of the designed boundary control scheme.
Keywordasymmetrical output constraints barrier Lyapunov function boundary control flexible string vibration control
DOI10.1002/rnc.3902
Language英语
Funding ProjectNational Basic Research Program of China[2013CB733100] ; National Natural Science Foundation of China[61522302] ; National Natural Science Foundation of China[61761130080] ; Newton Advanced Fellowship[NA160436] ; Beijing Natural Science Foundation[4172041] ; Fundamental Research Funds for the China Central Universities of USTB[FRF-BD-16-005A] ; Fundamental Research Funds for the China Central Universities of USTB[FRF-TP-15-005C1]
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000427012900004
PublisherWILEY
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29883
Collection中国科学院数学与系统科学研究院
Affiliation1.Univ Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
3.Beihang Univ, Sch Automat Sci & Elect Engn, Beijing 100191, Peoples R China
4.Univ Sci & Technol Beijing, Minist Educ, Key Lab Knowledge Automat Ind Proc, Beijing 100083, Peoples R China
Recommended Citation
GB/T 7714
Meng, Tingting,He, Wei,Liu, Jin-Kun. Boundary control for a vibrating string with asymmetrically constrained outputs[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2018,28(3):798-807.
APA Meng, Tingting,He, Wei,&Liu, Jin-Kun.(2018).Boundary control for a vibrating string with asymmetrically constrained outputs.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,28(3),798-807.
MLA Meng, Tingting,et al."Boundary control for a vibrating string with asymmetrically constrained outputs".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 28.3(2018):798-807.
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