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The article presents an adaptive control procedure based on the online recursive identification of the best estimated model of plate bending vibration for vibration cancelation. The test object was a thin, circular aluminum plate, clamped at the edge, with MFC actuator and a velocity feedback signal. The sensor signal was collected using the non-contact laser measurement method. The system model of the plate was identified online using identification technique based on auto-regressive with exogenous input model. The control law was designed by the pole placement method solving the Diophantine equation. The adaptive controller we designed was implemented and tested on a real-time platform—PowerDAQ with an xPC Target environment. The results presented in the article confirm the correct operation of the adaptive controller and the reduction of vibrations in a fairly wide frequency band while maintaining a relatively low order of the system model.

An Adaptive Method for Reducing Vibrations of Circular Plates with Recursive Identification