Output-feedback stabilization of an unstable wave equation
文献类型：期刊论文
| 作者 | Krstic, Miroslav1; Guo, Bao-Zhu2,3 ; Balogh, Andras4; Smyshlyaev, Andrey1
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| 刊名 | AUTOMATICA
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| 出版日期 | 2008 |
| 卷号 | 44期号:1页码:63-74 |
| 关键词 | distributed parameter systems wave equation backstepping stabilization boundary control |
| ISSN号 | 0005-1098 |
| DOI | 10.1016/j.automatica.2007.05.012 |
| 英文摘要 | We consider the problem of stabilization of a one-dimensional wave equation that contains instability at its free end and control on the opposite end. In contrast to classical collocated "boundary damper" feedbacks for the neutrally stable wave equations with one end satisfying a homogeneous boundary condition, the controllers and the associated observers designed in the paper are more complex due to the open-loop instability of the plant. The controller and observer gains are designed using the method of "backstepping," which results in explicit formulae for the gain functions. We prove exponential stability and the existence and uniqueness of classical solutions for the closed-loop system. We also derive the explicit compensators in frequency domain. The results are illustrated with simulations. (C) 2007 Elsevier Ltd. All rights reserved. |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000253344000006 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6042]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Krstic, Miroslav |
| 作者单位 | 1.Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA 2.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 4.Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA |
| 推荐引用方式 GB/T 7714 | Krstic, Miroslav,Guo, Bao-Zhu,Balogh, Andras,et al. Output-feedback stabilization of an unstable wave equation[J]. AUTOMATICA,2008,44(1):63-74. |
| APA | Krstic, Miroslav,Guo, Bao-Zhu,Balogh, Andras,&Smyshlyaev, Andrey.(2008).Output-feedback stabilization of an unstable wave equation.AUTOMATICA,44(1),63-74. |
| MLA | Krstic, Miroslav,et al."Output-feedback stabilization of an unstable wave equation".AUTOMATICA 44.1(2008):63-74. |
入库方式： OAI收割
来源：数学与系统科学研究院
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