T.C. Manjunath and B. Bandyopadhyay Controller Design for EulerBernoulli Smart Structures Using Robust Decentralized FOS via Reduced Order Modeling
537 - 556
2008
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4
International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering http://waset.org/publications/15092
http://waset.org/publications/16
World Academy of Science, Engineering and Technology
This paper features the modeling and design of a
Robust Decentralized Fast Output Sampling (RDFOS) Feedback
control technique for the active vibration control of a smart flexible
multimodel EulerBernoulli cantilever beams for a multivariable
(MIMO) case by retaining the first 6 vibratory modes. The beam
structure is modeled in state space form using the concept of
piezoelectric theory, the EulerBernoulli beam theory and the Finite
Element Method (FEM) technique by dividing the beam into 4 finite
elements and placing the piezoelectric sensor actuator at two finite
element locations (positions 2 and 4) as collocated pairs, i.e., as
surface mounted sensor actuator, thus giving rise to a multivariable
model of the smart structure plant with two inputs and two outputs.
Five such multivariable models are obtained by varying the
dimensions (aspect ratios) of the aluminium beam. Using model
order reduction technique, the reduced order model of the higher
order system is obtained based on dominant Eigen value retention
and the Davison technique. RDFOS feedback controllers are
designed for the above 5 multivariablemultimodel plant. The closed
loop responses with the RDFOS feedback gain and the magnitudes of
the control input are obtained and the performance of the proposed
multimodel smart structure system is evaluated for vibration control.
International Science Index 16, 2008