Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback
文献类型：期刊论文
| 作者 | Smyshlyaev, Andrey1; Guo, Bao-Zhu2,3 ; Krstic, Miroslav1
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| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 2009-05-01 |
| 卷号 | 54期号:5页码:1134-1140 |
| 关键词 | Backstepping boundary control distributed parameter systems Euler-Bernoulli beam Riesz basis |
| ISSN号 | 0018-9286 |
| DOI | 10.1109/TAC.2009.2013038 |
| 英文摘要 | We consider a problem of stabilization of the Euler-Bernoulli beam. The beam is controlled at one end (using position and moment actuators) and has the "sliding" boundary condition at the opposite end. We design the controllers that achieve any prescribed decay rate of the closed loop system, removing a long-standing limitation of classical "boundary damper" controllers. The idea of the control design is to use the well-known representation of the Euler-Bernoulli beam model through the Schrodinger equation, and then adapt recently developed backstepping designs for the latter in order to stabilize the beam. We derive the explicit integral transformation (and its inverse) of the closed-loop system into an exponentially stable target system. The transformation is of a novel Volterra/Fredholm type. The design is illustrated with simulations. |
| WOS研究方向 | Automation & Control Systems ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000266174100032 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7614]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Smyshlyaev, Andrey |
| 作者单位 | 1.Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg Wits, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Smyshlyaev, Andrey,Guo, Bao-Zhu,Krstic, Miroslav. Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2009,54(5):1134-1140. |
| APA | Smyshlyaev, Andrey,Guo, Bao-Zhu,&Krstic, Miroslav.(2009).Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,54(5),1134-1140. |
| MLA | Smyshlyaev, Andrey,et al."Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 54.5(2009):1134-1140. |
入库方式： OAI收割
来源：数学与系统科学研究院
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