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Vibration Attenuation of a Thin Cantilevered Beam Using LQGBased Controller and Inertial Actuator

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Author(s): Ameen El-Sinawi

Journal: International Journal of Engineering
ISSN 1985-2312

Volume: 4;
Issue: 2;
Start page: 119;
Date: 2010;
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Keywords: Inertial actuator | optimal control | LQG | estimation | cantilevered beam | modal analysis.

ABSTRACT
This study considers the problem of attenuating the vibration at a certain locationon a flexible cantilevered beam mounted on a vibrating base which is the tip inthis case. Attenuation is achieved without the need for sensor placement at thatlocation. A modal state-space model of the flexible beam is constructed from thebeam’s first ten modes of vibration. A reduced-order optimal observer is utilizedto estimate the deflection of the beam’s tip from measurements of verticaldeflections at mid-span and actuator locations. An inertial actuator is mounted onthe beam itself, provides the control effort necessary for attenuating the tipvibration, resulting from shaker excitation. Experimental and simulation resultshave demonstrated the effectiveness of the proposed control technique.
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