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

文献类型：期刊论文

作者Zhou, Hua-Cheng1; Guo, Bao-Zhu2,3
刊名EUROPEAN JOURNAL OF CONTROL
出版日期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
DOI10.1016/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
WOS记录号WOS:000424719800005
出版者ELSEVIER SCIENCE BV
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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