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Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation
Guo, Bao-Zhu2,3; Wang, Jun-Min1; Yang, Kun-Yi2
2008-09-01
发表期刊SYSTEMS & CONTROL LETTERS
ISSN0167-6911
卷号57期号:9页码:740-749
摘要We study the dynamic stabilization of an Euler-Bernoulli beam System using boundary force control at the free end and bending strain observation at the clamped end. We construct an infinite-dimensional observer to track the state exponentially. A proportional output feedback control based on the estimated state is designed. The closed-loop system is shown to be non-dissipative but admits a set of generalized eigenfunctions, which forms a Riesz basis for the state space. As consequences, both the spectrum-determined growth condition and exponential stability are concluded. (C) 2008 Elsevier B.V. All rights reserved.
关键词Euler-Bernoulli beam observer Riesz basis controllability and observability stability
DOI10.1016/j.sysconle.2008.02.004
语种英语
资助项目National Natural Science Foundation of China ; Program for New Century Excellent Talents in University of China ; National Research Foundation of South Africa
WOS研究方向Automation & Control Systems ; Operations Research & Management Science
WOS类目Automation & Control Systems ; Operations Research & Management Science
WOS记录号WOS:000259078300008
出版者ELSEVIER SCIENCE BV
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/6688
专题系统科学研究所
通讯作者Wang, Jun-Min
作者单位1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa
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GB/T 7714
Guo, Bao-Zhu,Wang, Jun-Min,Yang, Kun-Yi. Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation[J]. SYSTEMS & CONTROL LETTERS,2008,57(9):740-749.
APA Guo, Bao-Zhu,Wang, Jun-Min,&Yang, Kun-Yi.(2008).Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation.SYSTEMS & CONTROL LETTERS,57(9),740-749.
MLA Guo, Bao-Zhu,et al."Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation".SYSTEMS & CONTROL LETTERS 57.9(2008):740-749.
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