KMS Of Academy of mathematics and systems sciences, CAS
| The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control | |
Guo, Bao-Zhu1,3 ; Guo, Wei2,3
| |
| 2009-03-01 | |
| Source Publication | AUTOMATICA
 |
| ISSN | 0005-1098 |
| Volume | 45Issue:3Pages:790-797 |
| Abstract | The stabilization of a one-dimensional wave equation with non-collocated observation at its unstable free end and control at another end is considered. The controller comprises a state estimator which is designed in the case where the velocity is not available. The method of "backstepping" is adopted in our design of the feedback law. We use the theory of Co-semigroups and Lyapunov functionals to prove the strong stability of the resulting closed-loop system. (C) 2008 Elsevier Ltd. All rights reserved. |
| Keyword | Vibrating string Distributed parameter system Boundary control Backstepping |
| DOI | 10.1016/j.automatica.2008.10.015 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China ; National Research Foundation of South Africa ; University of International Business and Economics |
| WOS Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000264576400025 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/7779 |
| Collection | 系统科学研究所 |
| Corresponding Author | Guo, Bao-Zhu |
| Affiliation | 1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Int Business & Econ, Sch Informat Technol & Management, Beijing 100029, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Wits, Johannesburg, South Africa |
| Recommended Citation GB/T 7714 | Guo, Bao-Zhu,Guo, Wei. The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control[J]. AUTOMATICA,2009,45(3):790-797. |
| APA | Guo, Bao-Zhu,&Guo, Wei.(2009).The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control.AUTOMATICA,45(3),790-797. |
| MLA | Guo, Bao-Zhu,et al."The strong stabilization of a one-dimensional wave equation by non-collocated dynamic boundary feedback control".AUTOMATICA 45.3(2009):790-797. |
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