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Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control
Guo, Wei1; Guo, Bao-Zhu2,3,4
2011
Source PublicationINTERNATIONAL JOURNAL OF CONTROL
ISSN0020-7179
Volume84Issue:2Pages:381-395
AbstractWe are concerned with the parameter estimation and stabilisation of a one-dimensional wave equation with an unknown constant disturbance suffered by boundary observation at one end and the non-collocated control at another end. An adaptive observer is designed in terms of measured velocity with unknown constant disturbance. The backstepping method for infinite-dimensional system is adopted in the design of the feedback law. It is shown that the resulting closed-loop system is asymptotically stable. Meanwhile, the estimated parameter is shown to be convergent to the unknown parameter as time goes to infinity.
Keywordvibrating string disturbance rejection boundary control backstepping
DOI10.1080/00207179.2011.557092
Language英语
Funding ProjectNational Natural Science Foundation of China ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000288433400013
PublisherTAYLOR & FRANCIS LTD
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13093
Collection系统科学研究所
Affiliation1.Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
4.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
Recommended Citation
GB/T 7714
Guo, Wei,Guo, Bao-Zhu. Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control[J]. INTERNATIONAL JOURNAL OF CONTROL,2011,84(2):381-395.
APA Guo, Wei,&Guo, Bao-Zhu.(2011).Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control.INTERNATIONAL JOURNAL OF CONTROL,84(2),381-395.
MLA Guo, Wei,et al."Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control".INTERNATIONAL JOURNAL OF CONTROL 84.2(2011):381-395.
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