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Vibration Attenuation of a Thin Cantilevered Beam Using LQG-Based Controller and Inertial Actuator
Ameen El-Sinawi
Pages - 119 - 138     |    Revised - 30-04-2010     |    Published - 10-06-2010
Volume - 4   Issue - 2    |    Publication Date - May 2010  Table of Contents
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KEYWORDS
Inertial actuators, optimal control, LQG, Modal Analysis
ABSTRACT
This study considers the problem of attenuating the vibration at a certain location on a flexible cantilevered beam mounted on a vibrating base which is the tip in this case. Attenuation is achieved without the need for sensor placement at that location. A modal state-space model of the flexible beam is constructed from the beam’s first ten modes of vibration. A reduced-order optimal observer is utilized to estimate the deflection of the beam’s tip from measurements of vertical deflections at mid-span and actuator locations. An inertial actuator is mounted on the beam itself, provides the control effort necessary for attenuating the tip vibration, resulting from shaker excitation. Experimental and simulation results have demonstrated the effectiveness of the proposed control technique.
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Associate Professor Ameen El-Sinawi
American University of Sharjah - United Arab Emirates
aelsinawi@aus.edu