Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback

doi:10.1109/TAC.2009.2013038

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	Arbitrary Decay Rate for Euler-Bernoulli Beam by Backstepping Boundary Feedback
	Smyshlyaev, Andrey 1; Guo, Bao-Zhu2,3 ; Krstic, Miroslav 1
	2009-05-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	54 期号:5 页码:1134-1140
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.
关键词	Backstepping boundary control distributed parameter systems Euler-Bernoulli beam Riesz basis
DOI	10.1109/TAC.2009.2013038
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000266174100032
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS 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/7615
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.