Backstepping approach to the arbitrary decay rate for Euler-Bernoulli beam under boundary feedback | |
Guo, Bao-Zhu1,2,3; Jin, Feng-Fei1 | |
刊名 | INTERNATIONAL JOURNAL OF CONTROL |
2010 | |
卷号 | 83期号:10页码:2098-2106 |
关键词 | beam equation stability backstepping boundary control |
ISSN号 | 0020-7179 |
DOI | 10.1080/00207179.2010.505249 |
英文摘要 | In this article, we are concerned with the boundary stabilisation of the Euler-Bernoulli beam equation for which all eigenvalues of the (control) free system are located on the imaginary axis of the complex plane. The fourth-order system in spacial variable is transformed into a coupled heat-like system. This enables us to make a natural backstepping transformation in vector form to transform the system into a target system which has arbitrary decay rate. The state feedback is thus designed. It is shown that the original closed-loop system is exponentially stable with the given arbitrary decay rate. |
资助项目 | National Natural Science Foundation of China ; National Research Foundation of South Africa |
WOS研究方向 | Automation & Control Systems |
语种 | 英语 |
出版者 | TAYLOR & FRANCIS LTD |
WOS记录号 | WOS:000282028100010 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11110] |
专题 | 系统科学研究所 |
通讯作者 | Guo, Bao-Zhu |
作者单位 | 1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China |
推荐引用方式 GB/T 7714 | Guo, Bao-Zhu,Jin, Feng-Fei. Backstepping approach to the arbitrary decay rate for Euler-Bernoulli beam under boundary feedback[J]. INTERNATIONAL JOURNAL OF CONTROL,2010,83(10):2098-2106. |
APA | Guo, Bao-Zhu,&Jin, Feng-Fei.(2010).Backstepping approach to the arbitrary decay rate for Euler-Bernoulli beam under boundary feedback.INTERNATIONAL JOURNAL OF CONTROL,83(10),2098-2106. |
MLA | Guo, Bao-Zhu,et al."Backstepping approach to the arbitrary decay rate for Euler-Bernoulli beam under boundary feedback".INTERNATIONAL JOURNAL OF CONTROL 83.10(2010):2098-2106. |
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