Abstract
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.
Highlights
Many classical strategies can be used for active vibration control—for example, classical approaches using proportional–integral–derivative controllers (PID), pole placement design, linear quadratic
The aim of this paper is to investigate an approach for the reduction of vibrations of a thin circular plate for which an adaptive feedback control algorithm, appropriately selected for the range of its resonance frequencies, was applied
The approach known as the indirect adaptive pole placement method is considered
Summary
The control of the low frequency vibration of plates is a longstanding and growing problem which should be considered while both designing and using equipment. Such vibrating surfaces have significant applications in manufacturing, infrastructure engineering, and consumer products. Mechanical vibrations degrade the quality of the products and the fabrication process rate, and they create noise in the surrounding area. The main aim of active control systems designed for flexible planar structures is to cancel their vibrations and related acoustic radiation as much as possible. Many classical strategies can be used for active vibration control—for example, classical approaches using proportional–integral–derivative controllers (PID), pole placement design, linear quadratic
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