TY - JOUR
T1 - PD control for vibration attenuation in a physical pendulum with moving mass
AU - Gutiérrez-Frias, Oscar Octavio
AU - Martínez-García, Juan Carlos
AU - Garrido Moctezuma, Rubén A.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=68949103860&partnerID=8YFLogxK
U2 - 10.1155/2009/179724
DO - 10.1155/2009/179724
M3 - Artículo
AN - SCOPUS:68949103860
SN - 1024-123X
VL - 2009
JO - Mathematical Problems in Engineering
JF - Mathematical Problems in Engineering
M1 - 179724
ER -