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Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation
Guo, Bao-Zhu1,2,3; Zhou, Hua-Cheng2
2016-03-01
Source PublicationEUROPEAN JOURNAL OF CONTROL
ISSN0947-3580
Volume28Pages:38-48
AbstractWe consider boundary output feedback stabilization for a multi-dimensional Kirchhoff plate with boundary observation suffered from a general external disturbance. We adopt for the first time the active disturbance rejection control approach to stabilization of multi-dimensional partial differential equations under corrupted output feedback. In terms of this approach, the disturbance is estimated by a relatively independent estimator, based on (possibly) an infinite number of ordinary differential equations reduced from the original PDEs by infinitely many time-dependent test functions. This gives a state observer, an additional result via this approach. The disturbance is compensated in the feedback-loop. As a result, the control law can be designed almost as the same as that for the system without disturbance. We show that with a time varying gain properly designed, the observer driven by the disturbance estimator is convergent; and that all subsystems in the closed-loop are asymptotically stable. We also provide numerical simulations which demonstrate the convergence results and underline the effect of the time varying high gain estimator. (C) 2015 European Control Association. Published by Elsevier Ltd. All rights reserved.
KeywordKirchhoff plate Boundary control Disturbance rejection Stabilization
DOI10.1016/j.ejcon.2015.12.004
Language英语
Funding ProjectNational Natural Science Foundation of China ; National Research Foundation of South Africa
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000374082500003
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22517
Collection系统科学研究所
Affiliation1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
2.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Univ Witwatersrand, Sch Comp Sci & Appl Math, ZA-2050 Johannesburg, South Africa
Recommended Citation
GB/T 7714
Guo, Bao-Zhu,Zhou, Hua-Cheng. Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation[J]. EUROPEAN JOURNAL OF CONTROL,2016,28:38-48.
APA Guo, Bao-Zhu,&Zhou, Hua-Cheng.(2016).Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation.EUROPEAN JOURNAL OF CONTROL,28,38-48.
MLA Guo, Bao-Zhu,et al."Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation".EUROPEAN JOURNAL OF CONTROL 28(2016):38-48.
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