BOUNDARY STABILIZATION OF A FLEXIBLE MANIPULATOR WITH ROTATIONAL INERTIA

CSpace > 系统科学研究所

	BOUNDARY STABILIZATION OF A FLEXIBLE MANIPULATOR WITH ROTATIONAL INERTIA
	Guo, Bao-Zhu1,2 ; Wang, Jun-Min 2; Yung, Siu-Pang 3
	2005-09-01
发表期刊	DIFFERENTIAL AND INTEGRAL EQUATIONS
ISSN	0893-4983
卷号	18 期号:9 页码:1013-1038
摘要	We design a stabilizing linear boundary feedback control for a one-link flexible manipulator with rotational inertia. The system is modelled as a Rayleigh beam rotating around one endpoint, with the torque at this endpoint as the control input. The closed-loop system is nondissipative, so that its well posedness is not easy to establish. We study the asymptotic properties of the eigenvalues and eigenvectors of the corresponding operator A and establish that the generalized eigenvectors form a Riesz basis for the energy state space. It follows that A generates a C-0-semigroup that satisfies the spectrum-determined growth assumption. This semigroup is exponentially stable under certain conditions on the feedback gains. If the higher-order feedback gain is set to zero, then we obtain a polynomial decay rate for the semigroup.
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	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208533900004
出版者	KHAYYAM PUBL CO INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1393
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Acad Sinica, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Wang, Jun-Min,Yung, Siu-Pang. BOUNDARY STABILIZATION OF A FLEXIBLE MANIPULATOR WITH ROTATIONAL INERTIA[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2005,18(9):1013-1038.
APA	Guo, Bao-Zhu,Wang, Jun-Min,&Yung, Siu-Pang.(2005).BOUNDARY STABILIZATION OF A FLEXIBLE MANIPULATOR WITH ROTATIONAL INERTIA.DIFFERENTIAL AND INTEGRAL EQUATIONS,18(9),1013-1038.
MLA	Guo, Bao-Zhu,et al."BOUNDARY STABILIZATION OF A FLEXIBLE MANIPULATOR WITH ROTATIONAL INERTIA".DIFFERENTIAL AND INTEGRAL EQUATIONS 18.9(2005):1013-1038.