Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty

doi:10.1016/j.jde.2017.03.043

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	Unknown input observer design and output feedback stabilization for multi-dimensional wave equation with boundary control matched uncertainty
	Zhou, Hua-Cheng 1,2; Guo, Bao-Zhu1,3
	2017-08-15
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	263 期号:4 页码:2213-2246
摘要	In 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.
关键词	Wave equation Boundary control Active disturbance rejection control Disturbance rejection Output feedback stabilization
DOI	10.1016/j.jde.2017.03.043
语种	英语
资助项目	National Natural Science Foundation of China[61273129] ; Key University Project of Guangdong Province[2014KEDXM063] ; Israel Science Foundation[800/14]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000402582100009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25627
专题	系统科学研究所
通讯作者	Zhou, Hua-Cheng
作者单位	1.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
推荐引用方式 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.