New unknown input observer and output feedback stabilization for uncertain heat equation

doi:10.1016/j.automatica.2017.08.004

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	New unknown input observer and output feedback stabilization for uncertain heat equation
	Feng, Hongyinping 1; Guo, Bao-Zhu1,2,3
	2017-12-01
发表期刊	AUTOMATICA
ISSN	0005-1098
卷号	86 页码:1-10
摘要	In this paper, we propose a new method, by designing an unknown input type state observer, to stabilize an unstable 1-d heat equation with boundary uncertainty and external disturbance. The state observer is designed in terms of a disturbance estimator. A stabilizing state feedback control is designed for the observer by the backstepping transformation, which is an observer based output feedback stabilizing control for the original system. The well-posedness and stability of the closed-loop system are concluded. The numerical simulations show that the proposed scheme is quite effectively. This is a first result on active disturbance rejection control for a PDE with both boundary uncertainty and external disturbance. (C) 2017 Elsevier Ltd. All rights reserved.
关键词	Heat equation Nonlinear boundary Observer Stabilization Disturbance
DOI	10.1016/j.automatica.2017.08.004
语种	英语
资助项目	National Natural Science Foundation of China[61403239] ; National Natural Science Foundation of China[11671240] ; National Natural Science Foundation of China[61503230] ; Science Council of Shanxi Province[2015021010]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000414115000001
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/26864
专题	系统科学研究所
通讯作者	Feng, Hongyinping
作者单位	1.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, 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, Johannesburg, South Africa
推荐引用方式 GB/T 7714	Feng, Hongyinping,Guo, Bao-Zhu. New unknown input observer and output feedback stabilization for uncertain heat equation[J]. AUTOMATICA,2017,86:1-10.
APA	Feng, Hongyinping,&Guo, Bao-Zhu.(2017).New unknown input observer and output feedback stabilization for uncertain heat equation.AUTOMATICA,86,1-10.
MLA	Feng, Hongyinping,et al."New unknown input observer and output feedback stabilization for uncertain heat equation".AUTOMATICA 86(2017):1-10.