Feedback stabilization of rotating Timoshenko beam with adaptive gain

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	Feedback stabilization of rotating Timoshenko beam with adaptive gain
	Shi, DH ; Feng, DX ; Yan, QX
	2001-02-01
发表期刊	INTERNATIONAL JOURNAL OF CONTROL
ISSN	0020-7179
卷号	74 期号:3 页码:239-251
摘要	The problem of boundary feedback stabilization of rotating Timoshenko beam, arising from control of flexible robot arms, is studied in this paper. First, under gain adaptive direct strain feedback controls, a counterexample is given to show that the corresponding closed loop system is not asymptotically stable, which is contrary to traditional conjecture. The counterexample given in this paper also exemplifies an interesting result: certain two two-order linear partial differential equations with five homogeneous boundary conditions have non-trivial solutions. Then, with an additional boundary feedback control, the related energy of the closed loop system is proved to be strongly stable, or more precisely, the configuration of the beam can be exponentially stabilized with some suitable non-linear boundary feedback controls with adaptive gain.
语种	英语
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000166040900004
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/16157
专题	中国科学院数学与系统科学研究院
通讯作者	Feng, DX
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
推荐引用方式 GB/T 7714	Shi, DH,Feng, DX,Yan, QX. Feedback stabilization of rotating Timoshenko beam with adaptive gain[J]. INTERNATIONAL JOURNAL OF CONTROL,2001,74(3):239-251.
APA	Shi, DH,Feng, DX,&Yan, QX.(2001).Feedback stabilization of rotating Timoshenko beam with adaptive gain.INTERNATIONAL JOURNAL OF CONTROL,74(3),239-251.
MLA	Shi, DH,et al."Feedback stabilization of rotating Timoshenko beam with adaptive gain".INTERNATIONAL JOURNAL OF CONTROL 74.3(2001):239-251.