Parametric Resonance in Control Systems of Physical Pendulums with Variable Oscillation Periods

JORDÁN, MARIO ALBERTO; BONITATIBUS, JOSÉ LUIS

San Juan, RA

Congreso; 3rd International Symposium on Multibody Systems and Mechatronics (MUSME'08); 2008

Instituto de Ingenieria de Mecanica, Univ. Nac. de San Juan

We present a novel controller design based on extended parametric resonance concepts for a pendulum with erratic bounded motion of the support point and an actuator consisting of a sliding mass along the bar. The control algorithm is sustained on relations of potential/cinematic energy in synchronized manner according to principle of parametric resonance. In this way, the induced nonlinear oscillation of the pendulum is damped down using a generic control law. A bifurcation study is made for the simulations and lab experiments with a prototype illustrate our approach.