Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control

doi:10.1080/00207179.2011.557092

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	Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control
	Guo, Wei 1; Guo, Bao-Zhu2,3,4
	2011
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
ISSN	0020-7179
卷号	84 期号:2 页码:381-395
摘要	We are concerned with the parameter estimation and stabilisation of a one-dimensional wave equation with an unknown constant disturbance suffered by boundary observation at one end and the non-collocated control at another end. An adaptive observer is designed in terms of measured velocity with unknown constant disturbance. The backstepping method for infinite-dimensional system is adopted in the design of the feedback law. It is shown that the resulting closed-loop system is asymptotically stable. Meanwhile, the estimated parameter is shown to be convergent to the unknown parameter as time goes to infinity.
关键词	vibrating string disturbance rejection boundary control backstepping
DOI	10.1080/00207179.2011.557092
语种	英语
资助项目	National Natural Science Foundation of China ; National Basic Research Program of China[2011CB808002] ; National Research Foundation of South Africa
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000288433400013
出版者	TAYLOR & FRANCIS 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/13093
专题	系统科学研究所
通讯作者	Guo, Wei
作者单位	1.Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China 2.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China 4.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa
推荐引用方式 GB/T 7714	Guo, Wei,Guo, Bao-Zhu. Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control[J]. INTERNATIONAL JOURNAL OF CONTROL,2011,84(2):381-395.
APA	Guo, Wei,&Guo, Bao-Zhu.(2011).Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control.INTERNATIONAL JOURNAL OF CONTROL,84(2),381-395.
MLA	Guo, Wei,et al."Parameter estimation and stabilisation for a one-dimensional wave equation with boundary output constant disturbance and non-collocated control".INTERNATIONAL JOURNAL OF CONTROL 84.2(2011):381-395.