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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; bzguo@iss03.iss.ac.cn. 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; bzguo@iss03.iss.ac.cn.
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Abstract

A hybrid flexible beam equation with harmonic disturbance at the end where a rigid tip body is attached is considered. A simple motor torque feedback control is designed for which only the measured time-dependent angle of rotation and its velocity are utilized. It is shown that this control can impel the amplitude of the attached rigid tip body tending to zero as time 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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