Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control

doi:10.1016/j.ejcon.2017.10.006

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	Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control
	Zhou, Hua-Cheng 1; Guo, Bao-Zhu2,3
刊名	EUROPEAN JOURNAL OF CONTROL
	2018
卷号	39 页码:39-52
关键词	Wave equation Boundary control Performance output tracking Disturbance rejection stabilization
ISSN号	0947-3580
DOI	10.1016/j.ejcon.2017.10.006
英文摘要	In this paper, we consider performance output tracking for a boundary controlled one-dimensional wave equation with possibly unknown internal nonlinear uncertainty and external disturbance. We first show that the open-loop system is well-posed and then propose a disturbance estimator. It is shown that the disturbance estimator can estimate successfully the total disturbance that consists of internal uncertainty and external disturbance. An servomechanism based on the estimated total disturbance is then designed. It is shown that the closed-loop system is well-posed. Three control objectives are achieved: (a) the output is tracking the reference signal; (b) all the internal signals are uniformly bounded; (c) the closed-loop system is internally asymptotically stable if both the reference signal and the disturbance vanish or belong to the space H-2(0, infinity) and L-2(0, infinity), respectively. The unmatched performance output tracking control is first time applied to a system described by the partial differential equation for complete general disturbance rejection and reference tracking purpose. Another key feature of this paper is that we do not use the high-gain to estimate total disturbance for unmatched system. The numerical experiments are carried out to illustrate effectiveness of the proposed control law. (C) 2017 European Control Association. Published by Elsevier Ltd. All rights reserved.
资助项目	National Natural Science Foundation of China ; Israel Science Foundation[800/14]
WOS研究方向	Automation & Control Systems
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000424719800005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29655]
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Tel Aviv Univ, Sch Elect Engn, Ramat Aviv, Israel 2.Foshan Univ, Sch Math & Big Data, Foshan, Peoples R China 3.Acad Sinica, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Hua-Cheng,Guo, Bao-Zhu. Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control[J]. EUROPEAN JOURNAL OF CONTROL,2018,39:39-52.
APA	Zhou, Hua-Cheng,&Guo, Bao-Zhu.(2018).Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control.EUROPEAN JOURNAL OF CONTROL,39,39-52.
MLA	Zhou, Hua-Cheng,et al."Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control".EUROPEAN JOURNAL OF CONTROL 39(2018):39-52.