Output-feedback stabilization of an unstable wave equation

doi:10.1016/j.automatica.2007.05.012

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	Output-feedback stabilization of an unstable wave equation
	Krstic, Miroslav 1; Guo, Bao-Zhu2,3 ; Balogh, Andras 4; Smyshlyaev, Andrey 1
	2008
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	44 期号:1 页码:63-74
摘要	We consider the problem of stabilization of a one-dimensional wave equation that contains instability at its free end and control on the opposite end. In contrast to classical collocated "boundary damper" feedbacks for the neutrally stable wave equations with one end satisfying a homogeneous boundary condition, the controllers and the associated observers designed in the paper are more complex due to the open-loop instability of the plant. The controller and observer gains are designed using the method of "backstepping," which results in explicit formulae for the gain functions. We prove exponential stability and the existence and uniqueness of classical solutions for the closed-loop system. We also derive the explicit compensators in frequency domain. The results are illustrated with simulations. (C) 2007 Elsevier Ltd. All rights reserved.
关键词	distributed parameter systems wave equation backstepping stabilization boundary control
DOI	10.1016/j.automatica.2007.05.012
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000253344000006
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/6043
专题	系统科学研究所
通讯作者	Krstic, Miroslav
作者单位	1.Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA 2.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 4.Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
推荐引用方式 GB/T 7714	Krstic, Miroslav,Guo, Bao-Zhu,Balogh, Andras,et al. Output-feedback stabilization of an unstable wave equation[J]. AUTOMATICA,2008,44(1):63-74.
APA	Krstic, Miroslav,Guo, Bao-Zhu,Balogh, Andras,&Smyshlyaev, Andrey.(2008).Output-feedback stabilization of an unstable wave equation.AUTOMATICA,44(1),63-74.
MLA	Krstic, Miroslav,et al."Output-feedback stabilization of an unstable wave equation".AUTOMATICA 44.1(2008):63-74.