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Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty
Zhou, Hua-Cheng1,2; Guo, Bao-Zhu1,3
2017-08-15
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume263Issue:4Pages:2213-2246
AbstractIn this paper, we consider boundary output feedback stabilization for a multi-dimensional wave equation with boundary control matched unknown nonlinear internal uncertainty and external disturbance. A new unknown input type extended state observer is proposed to recover both state and total disturbance which consists of internal uncertainty and external disturbance. A key feature of the proposed observer in this paper is that we do not use the high-gain to estimate the disturbance. By the active disturbance rejection control (ADRC) strategy, the total disturbance is compensated (canceled) in the feedback loop, which together with a collocated stabilizing controller without uncertainty, leads to an output feedback stabilizing feedback control. It is shown that the resulting closed-loop system is well-posed and asymptotically stable under weak assumption on internal uncertainty and external disturbance. The numerical experiments are carried out to show the effectiveness of the proposed scheme. (C) 2017 Elsevier Inc. All rights reserved.
KeywordWave equation Boundary control Active disturbance rejection control Disturbance rejection Output feedback stabilization
DOI10.1016/j.jde.2017.03.043
Language英语
Funding ProjectNational Natural Science Foundation of China[61273129] ; Key University Project of Guangdong Province[2014KEDXM063] ; Israel Science Foundation[800/14]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000402582100009
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25627
Collection系统科学研究所
Affiliation1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Tel Aviv Univ, Sch Elect Engn, IL-69978 Ramat Aviv, Israel
3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China
Recommended Citation
GB/T 7714
Zhou, Hua-Cheng,Guo, Bao-Zhu. Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2017,263(4):2213-2246.
APA Zhou, Hua-Cheng,&Guo, Bao-Zhu.(2017).Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty.JOURNAL OF DIFFERENTIAL EQUATIONS,263(4),2213-2246.
MLA Zhou, Hua-Cheng,et al."Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty".JOURNAL OF DIFFERENTIAL EQUATIONS 263.4(2017):2213-2246.
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