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Performance output tracking for one-dimensional wave equation subject to unmatched general disturbance and non-collocated control
Zhou, Hua-Cheng1; Guo, Bao-Zhu2,3
2018
Source PublicationEUROPEAN JOURNAL OF CONTROL
ISSN0947-3580
Volume39Pages:39-52
AbstractIn 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.
KeywordWave equation Boundary control Performance output tracking Disturbance rejection stabilization
DOI10.1016/j.ejcon.2017.10.006
Language英语
Funding ProjectNational Natural Science Foundation of China ; Israel Science Foundation[800/14]
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000424719800005
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29656
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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