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On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body

Published online by Cambridge University Press:  15 October 2004

Bao-Zhu Guo  and
Qiong Zhang
Bao-Zhu Guo
Affiliation:
Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, China; [email protected]. Departement of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag-3, Wits-2050, Johannesburg, South Africa.
Qiong Zhang
Affiliation:
Academy of Mathematics and System Sciences, Academia Sinica, Beijing 100080, China; [email protected].
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Abstract

A hybrid flexible beam equation with harmonicdisturbance at the end where a rigid tip body is attached isconsidered. A simple motor torque feedback control is designedfor which only the measured time-dependent angle of rotation andits velocity are utilized. It is shown that this control can impelthe amplitude of the attached rigid tip body tending to zero astime goes to infinity.

Keywords

Beam equationdisturbance rejectionnoncollocated controlstrong stability.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 10 , Issue 4 , October 2004 , pp. 615 - 623
Copyright
© EDP Sciences, SMAI, 2004

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