System identification and active vibration control of a flexible structure

• Main Author: Abreu,Gustavo Luiz C. M. de
• Publication Date: 2012
• Other Authors: Conceição,Sanderson M. da, Lopes Jr.,Vicente, Brennan,Michael John, Alves,Marco Túlio Santana
• Format: Article
• Language: eng
• Source: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Online)
• Download full: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782012000500007
• topic: Observer/Kalman Filter Identification (OKID); Eigensystem Realization Algorithm (ERA); optimal vibration control; piezoelectric smart structures

The aim of this paper is to illustrate the active control of vibration of a flexible structure using a model-based digital controller. The state-space model of the system is derived using a system identification technique known as the Observer/Kalman Filter Identification (OKID) method together with Eigensystem Realization Algorithm (ERA). Based on the measured response of the structure to a random input, an explicit state-space model of the equivalent linear system is determined. The model is used in a Linear Quadratic Regulator (LQR) to control the first two modes of vibration of a cantilever beam using a piezoelectric actuator/sensor pair. Experimental results demonstrate the efficacy of the proposed approach.