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

Oscar Octavio Gutiérrez-Frias, Juan Carlos Martínez-García and Rubén A. Garrido Moctezuma

Mathematical Problems in Engineering, 2009, vol. 2009, 1-11

Abstract:

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:179724

DOI: 10.1155/2009/179724

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