
Active Vibration Control
to Intelligent Plate Based on £È¡Þ Theory
Wang Xiaobing,Chen Jianjun,Gao Wei,Du Lei,Ma Fang
(School of Electronic and Mechanical Engineering, Xidian University, Xi'an
710071)
Abstract: A method to control an intelligent
plate vibration is proposed based on £È¡Þ
theory. For an intelligent plate with piezoceramics slices attached on both surfaces, an
element model with 12 DOFs and 2 electrical DOFs is adopted and the dynamics differential
equations are deduced by means of Hamilton pr inciple, and whose order is lowered in state
space by modal truncation, minimal realization and balancing xeduction. A dynamic output
feedback controller is designed to control the original intelligent plate vibration. Taken
intelligent cantilever plate as an example, the conclusion is confirmed and the process
error is estimated, the corresponding dynamic output feedback controller is obtai ned to
simulate the control performance.
Keywords: intelligent plate, modal truncation, minimal realization,
balancing reduction, control law.