Open AccessPD Control for Vibration Attenuation in a Physical Pendulum with Moving Mass
Author(s) -
Octavio Gutiérrez-Frías,
Juan Carlos MartínezGarcía,
Rubén Alejandro Garrido Moctezuma
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/179724
Subject(s) - control theory (sociology) , pendulum , lyapunov function , controller (irrigation) , vibration , inverted pendulum , position (finance) , compensation (psychology) , double pendulum , displacement (psychology) , mathematics , physics , computer science , control (management) , acoustics , nonlinear system , psychology , finance , quantum mechanics , artificial intelligence , psychoanalysis , agronomy , economics , biology , psychotherapist
This paper proposes a Proportional Derivative controller plus gravity compensation todamp out the oscillations of a frictionless physical pendulum with moving mass. A mass slidesalong the pendulum main axis and operates as an active vibration-damping element. The Lyapunovmethod together with the LaSalle's theorem allows concluding closed-loop asymptoticstability. The proposed approach only uses measurements of the moving mass position and velocityand it does not require synchronization of the pendulum and moving mass movements.Numerical simulations assess the performance of the closed-loop system
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