Document Type

Article

Publication Date

7-2009

Journal or Book Title

Journal of Dynamic Systems, Measurement and Control

Volume

131

Issue

4

First Page

41006

DOI

10.1115/1.3117189

Abstract

An autonomous vibration controller that adapts to variations in a system'smass, stiffness, and excitation, and that maximizes dissipation through synchronized switching is described. In the model and laboratory measurements, a cantilever beam is driven through base excitation and two piezoelectric elements are attached to the beam for vibration control purposes. The distributed-parameter model for the beam-element system is discretized by using Galerkin's method, and time histories of the system's response describe the controller's attenuation characteristics. The system is piecewise linear, and a state-to-state modal analysis method is developed to simulate the coupled dynamics of the beam and piezoelectric circuit by mapping the generalized coordinates between the sets of modes for the open-switch and closed-switch configurations. In synchronized switching control, the elements are periodically switched to an external resonant shunt, and the instants of optimal switching are identified through a filtered velocity signal. The controller adaptively aligns the center frequency of a bandpass filter to the beam's fundamental frequency through a fuzzy logic algorithm in order to maximize attenuation even with minimal a priori knowledge of the excitation or the system's mass and stiffness parameters. In implementation, the controller is compact owing to its low inductance and computational requirement. The adaptive controller attenuates vibration over a range of excitation frequencies and is robust to variations in system parameters, thus outperforming traditionalsynchronized switching.

Comments

This article was published in Journal of Dynamic Systems, Measurement, and Control, 131, no. 4 (July 2009): 041006, doi: 10.1115/1.3117189.

Copyright Owner

American Society of Mechanical Engineers

Language

en

File Format

application/pdf

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