Backstepping approach to the arbitrary decay rate for Euler-Bernoulli beam under boundary feedback

doi:10.1080/00207179.2010.505249

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	Backstepping approach to the arbitrary decay rate for Euler-Bernoulli beam under boundary feedback
	Guo, Bao-Zhu1,2,3 ; Jin, Feng-Fei 1
	2010
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
ISSN	0020-7179
卷号	83 期号:10 页码:2098-2106
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.
关键词	beam equation stability backstepping boundary control
DOI	10.1080/00207179.2010.505249
语种	英语
资助项目	National Natural Science Foundation of China ; National Research Foundation of South Africa
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000282028100010
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11111
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.