Modeling and Simulation of a plate with piezo-patches as sensors/actuators using LQG modal control & comparison with classical controller
Abstract :
This work is aimed at the active vibration control of a flexible structures using piezoelectric material. A cantilever plate structure, which is supported at one end and free at another is taken as the flexible structure with piezoelectric materials as sensors and actuators. Sensors and actuators, which are square in shapes, are embedded to the parent structure. The active controller was designed to control first three modes of vibration of plate. First, the analysis for the transient vibrations in a cantilever plate structure was performed which was followed by the analysis of the same cantilever plate structure when embedded upon with a pair of sensor and actuator. The plate was discretized into small square elements (8x8) of identical size (2x2cm) in order to assign the different locations to sensors and actuators, which were assumed to be of the exact shape of the discretized plate elements. PID and LQG controllers are applied for attenuating the global structural vibration and comparisons between the both controllers are carried out.
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