PD Control for Vibration Attenuation in a Physical Pendulum with Moving Mass

This paper proposes a Proportional Derivative controller plus gravity compensation to damp out the oscillations of a frictionless physical pendulum with moving mass. A mass slides along the pendulum main axis and operates as an active vibration-damping element. The Lyapunov method together with the...

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Bibliographic Details
Published in:Mathematical Problems in Engineering 2009-01, Vol.2009 (1), p.278-288-19
Main Authors: Oscar Octavio Gutiérrez-Frias, Juan Carlos Martínez-García, Rubén A. Garrido Moctezuma
Format: Article
Language:English
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Summary:This paper proposes a Proportional Derivative controller plus gravity compensation to damp out the oscillations of a frictionless physical pendulum with moving mass. A mass slides along the pendulum main axis and operates as an active vibration-damping element. The Lyapunov method together with the LaSalle's theorem allows concluding closed-loop asymptotic stability. The proposed approach only uses measurements of the moving mass position and velocity and it does not require synchronization of the pendulum and moving mass movements. Numerical simulations assess the performance of the closed-loop system.
ISSN:1024-123X
1563-5147
DOI:10.1155/2009/179724