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

Bao-Zhu Guo; Qiong Zhang

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 10, Issue: 4, page 615-623
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Guo, Bao-Zhu, and Zhang, Qiong. "On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body." ESAIM: Control, Optimisation and Calculus of Variations 10.4 (2010): 615-623. <http://eudml.org/doc/90746>.

@article{Guo2010,
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. },
author = {Guo, Bao-Zhu, Zhang, Qiong},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Beam equation; disturbance rejection; noncollocated control; strong stability.; noncollocated control; strong stability},
language = {eng},
month = {3},
number = {4},
pages = {615-623},
publisher = {EDP Sciences},
title = {On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body},
url = {http://eudml.org/doc/90746},
volume = {10},
year = {2010},
}

TY - JOUR
AU - Guo, Bao-Zhu
AU - Zhang, Qiong
TI - On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 10
IS - 4
SP - 615
EP - 623
AB - 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.
LA - eng
KW - Beam equation; disturbance rejection; noncollocated control; strong stability.; noncollocated control; strong stability
UR - http://eudml.org/doc/90746
ER -

References

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  10. R. Rebarber and G. Weiss, Internal model based tracking and disturbance rejection for stable well-posed systems. Automatica, in press.  
  11. Y. Sakawa, F. Matsuno and S. Fukushima, Modeling and feedback control of a flexible arm. J. Rob. Syst. 2 (1985) 453-472.  
  12. Y. Sakawa and Z.H. Luo, Modeling and control of coupled bending and torsional vibrations of flexible beam. IEEE Trans. Autom. Control34 (1989) 970-977.  
  13. V.A. Spetor and H. Flashner, Modeling and design implification of noncollocated control in flexible systems. J. Dyn. Syst. Meas. Control112 (1990) 186-193.  
  14. G. Weiss and R. Rebarber, Optimizability and estimatability for infinite-dimensional linear systems. SIAM J. Control Optim.39 (2001) 1204-1232.  
  15. K. Yuan and L. Liu, Achieving mininmum phase transfer function for a noncollocated single-link flexible manipulator. Asian J. Control2 (2000) 179-191.  

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