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 equation, disturbance rejection, noncollocated control, strong stability

@article{COCV_2004__10_4_615_0, author = {Guo, Bao-Zhu and Zhang, Qiong}, title = {On harmonic disturbance rejection of an undamped {Euler-Bernoulli} beam with rigid tip body}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {615--623}, publisher = {EDP-Sciences}, volume = {10}, number = {4}, year = {2004}, doi = {10.1051/cocv:2004028}, mrnumber = {2111083}, zbl = {1088.93008}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv:2004028/} }

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 PY - 2004 SP - 615 EP - 623 VL - 10 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv:2004028/ DO - 10.1051/cocv:2004028 LA - en ID - COCV_2004__10_4_615_0 ER -

%0 Journal Article %A Guo, Bao-Zhu %A Zhang, Qiong %T On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body %J ESAIM: Control, Optimisation and Calculus of Variations %D 2004 %P 615-623 %V 10 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv:2004028/ %R 10.1051/cocv:2004028 %G en %F COCV_2004__10_4_615_0

Guo, Bao-Zhu; Zhang, Qiong. On harmonic disturbance rejection of an undamped Euler-Bernoulli beam with rigid tip body. ESAIM: Control, Optimisation and Calculus of Variations, Volume 10 (2004) no. 4, pp. 615-623. doi : 10.1051/cocv:2004028. http://archive.numdam.org/articles/10.1051/cocv:2004028/

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