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Proceedings Paper

Viscoelastic phenomenology based structure assignment for closed-loop vibration control of a beam with sensors and actuators
Author(s): G. K. Vadiraja; D. Roy Mahapatra
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Paper Abstract

In this paper we incorporate a novel approach to synthesize a class of closed-loop feedback control, based on the variational structure assignment. Properties of a viscoelastic system are used to design an active feedback controller for an undamped structural system with distributed sensor, actuator and controller. Wave dispersion properties of onedimensional beam system have been studied. Efficiency of the chosen viscoelastic model in enhancing damping and stability properties of one-dimensional viscoelastic bar have been analyzed. The variational structure is projected on a solution space of a closed-loop system involving a weakly damped structure with distributed sensor and actuator with controller. These assign the phenomenology based internal strain rate damping parameter of a viscoelastic system to the usual elastic structure but with active control. In the formulation a model of cantilever beam with non-collocated actuator and sensor has been considered. The formulation leads to the matrix identification problem of two dynamic stiffness matrices. The method has been simplified to obtain control system gains for the free vibration control of a cantilever beam system with collocated actuator-sensor, using quadratic optimal control and pole-placement methods.

Paper Details

Date Published: 3 April 2009
PDF: 12 pages
Proc. SPIE 7286, Modeling, Signal Processing, and Control for Smart Structures 2009, 72860G (3 April 2009); doi: 10.1117/12.816013
Show Author Affiliations
G. K. Vadiraja, Indian Institute of Science (India)
D. Roy Mahapatra, Indian Institute of Science (India)

Published in SPIE Proceedings Vol. 7286:
Modeling, Signal Processing, and Control for Smart Structures 2009
Douglas K. Lindner, Editor(s)

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