The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control

doi:10.1016/j.automatica.2008.10.015

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	The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control
	Guo, Bao-Zhu1,3 ; Guo, Wei 2,3
	2009-03-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	45 期号:3 页码:790-797
摘要	The stabilization of a one-dimensional wave equation with non-collocated observation at its unstable free end and control at another end is considered. The controller comprises a state estimator which is designed in the case where the velocity is not available. The method of "backstepping" is adopted in our design of the feedback law. We use the theory of Co-semigroups and Lyapunov functionals to prove the strong stability of the resulting closed-loop system. (C) 2008 Elsevier Ltd. All rights reserved.
关键词	Vibrating string Distributed parameter system Boundary control Backstepping
DOI	10.1016/j.automatica.2008.10.015
语种	英语
资助项目	National Natural Science Foundation of China ; National Research Foundation of South Africa ; University of International Business and Economics
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000264576400025
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7779
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Guo, Wei. The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control[J]. AUTOMATICA,2009,45(3):790-797.
APA	Guo, Bao-Zhu,&Guo, Wei.(2009).The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control.AUTOMATICA,45(3),790-797.
MLA	Guo, Bao-Zhu,et al."The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control".AUTOMATICA 45.3(2009):790-797.