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Arbitrary decay rate for two connected strings with joint anti-damping by boundary output feedback
Guo, Bao-Zhu1,2,3; Jin, Feng-Fei1
2010-07-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume46Issue:7Pages:1203-1209
AbstractIn this paper, we are concerned with the boundary stabilization of two connected strings with middle joint anti-damping for which all eigenvalues of the (control) free system are located on the right complex plane. We first design an explicit state feedback controller to achieve exponential stability for the closed-loop system. Consequently, we design the output feedback by using infinite-dimensional observer. The backstepping approach is adopted in investigation. It is shown that by using one boundary stabilizer only, the output feedback can make the closed-loop system exponentially stable with arbitrary decay rate. (C) 2010 Elsevier Ltd. All rights reserved.
KeywordWave equation Observer Stability Backstepping Boundary control
DOI10.1016/j.automatica.2010.03.019
Language英语
Funding ProjectNational Natural Science Foundation of China ; National Research Foundation of South Africa
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000279711900009
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/9752
Collection系统科学研究所
Corresponding AuthorJin, Feng-Fei
Affiliation1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, South Africa
3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
Recommended Citation
GB/T 7714
Guo, Bao-Zhu,Jin, Feng-Fei. Arbitrary decay rate for two connected strings with joint anti-damping by boundary output feedback[J]. AUTOMATICA,2010,46(7):1203-1209.
APA Guo, Bao-Zhu,&Jin, Feng-Fei.(2010).Arbitrary decay rate for two connected strings with joint anti-damping by boundary output feedback.AUTOMATICA,46(7),1203-1209.
MLA Guo, Bao-Zhu,et al."Arbitrary decay rate for two connected strings with joint anti-damping by boundary output feedback".AUTOMATICA 46.7(2010):1203-1209.
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