Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation

doi:10.1016/j.ejcon.2015.12.004

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	Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation
	Guo, Bao-Zhu1,2,3 ; Zhou, Hua-Cheng 2
	2016-03-01
发表期刊	EUROPEAN JOURNAL OF CONTROL
ISSN	0947-3580
卷号	28 页码:38-48
摘要	We consider boundary output feedback stabilization for a multi-dimensional Kirchhoff plate with boundary observation suffered from a general external disturbance. We adopt for the first time the active disturbance rejection control approach to stabilization of multi-dimensional partial differential equations under corrupted output feedback. In terms of this approach, the disturbance is estimated by a relatively independent estimator, based on (possibly) an infinite number of ordinary differential equations reduced from the original PDEs by infinitely many time-dependent test functions. This gives a state observer, an additional result via this approach. The disturbance is compensated in the feedback-loop. As a result, the control law can be designed almost as the same as that for the system without disturbance. We show that with a time varying gain properly designed, the observer driven by the disturbance estimator is convergent; and that all subsystems in the closed-loop are asymptotically stable. We also provide numerical simulations which demonstrate the convergence results and underline the effect of the time varying high gain estimator. (C) 2015 European Control Association. Published by Elsevier Ltd. All rights reserved.
关键词	Kirchhoff plate Boundary control Disturbance rejection Stabilization
DOI	10.1016/j.ejcon.2015.12.004
语种	英语
资助项目	National Natural Science Foundation of China ; 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:000374082500003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22517
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, 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, ZA-2050 Johannesburg, South Africa
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Zhou, Hua-Cheng. Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation[J]. EUROPEAN JOURNAL OF CONTROL,2016,28:38-48.
APA	Guo, Bao-Zhu,&Zhou, Hua-Cheng.(2016).Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation.EUROPEAN JOURNAL OF CONTROL,28,38-48.
MLA	Guo, Bao-Zhu,et al."Output feedback stabilization for multi-dimensional Kirchhoff plate with general corrupted boundary observation".EUROPEAN JOURNAL OF CONTROL 28(2016):38-48.