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New unknown input observer and output feedback stabilization for uncertain heat equation
Feng, Hongyinping1; Guo, Bao-Zhu1,2,3
2017-12-01
Source PublicationAUTOMATICA
ISSN0005-1098
Volume86Pages:1-10
AbstractIn this paper, we propose a new method, by designing an unknown input type state observer, to stabilize an unstable 1-d heat equation with boundary uncertainty and external disturbance. The state observer is designed in terms of a disturbance estimator. A stabilizing state feedback control is designed for the observer by the backstepping transformation, which is an observer based output feedback stabilizing control for the original system. The well-posedness and stability of the closed-loop system are concluded. The numerical simulations show that the proposed scheme is quite effectively. This is a first result on active disturbance rejection control for a PDE with both boundary uncertainty and external disturbance. (C) 2017 Elsevier Ltd. All rights reserved.
KeywordHeat equation Nonlinear boundary Observer Stabilization Disturbance
DOI10.1016/j.automatica.2017.08.004
Language英语
Funding ProjectNational Natural Science Foundation of China[61403239] ; National Natural Science Foundation of China[11671240] ; National Natural Science Foundation of China[61503230] ; Science Council of Shanxi Province[2015021010]
WOS Research AreaAutomation & Control Systems ; Engineering
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic
WOS IDWOS:000414115000001
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/26864
Collection系统科学研究所
Corresponding AuthorFeng, Hongyinping
Affiliation1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, 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, Johannesburg, South Africa
Recommended Citation
GB/T 7714
Feng, Hongyinping,Guo, Bao-Zhu. New unknown input observer and output feedback stabilization for uncertain heat equation[J]. AUTOMATICA,2017,86:1-10.
APA Feng, Hongyinping,&Guo, Bao-Zhu.(2017).New unknown input observer and output feedback stabilization for uncertain heat equation.AUTOMATICA,86,1-10.
MLA Feng, Hongyinping,et al."New unknown input observer and output feedback stabilization for uncertain heat equation".AUTOMATICA 86(2017):1-10.
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