KMS Of Academy of mathematics and systems sciences, CAS
| Output-feedback stabilization of an unstable wave equation | |
Krstic, Miroslav1; Guo, Bao-Zhu2,3 ; Balogh, Andras4; Smyshlyaev, Andrey1
| |
| 2008 | |
| Source Publication | AUTOMATICA
 |
| ISSN | 0005-1098 |
| Volume | 44Issue:1Pages:63-74 |
| Abstract | 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. |
| Keyword | distributed parameter systems wave equation backstepping stabilization boundary control |
| DOI | 10.1016/j.automatica.2007.05.012 |
| Language | 英语 |
| WOS Research Area | Automation & Control Systems ; Engineering |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic |
| WOS ID | WOS:000253344000006 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/6043 |
| Collection | 系统科学研究所 |
| Corresponding Author | Krstic, Miroslav |
| Affiliation | 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment