System identification and active vibration control of a flexible structure

• Main Author: de Abreu, Gustavo Luiz C. M. [UNESP]
• Publication Date: 2012
• Other Authors: da Conceicao, Sanderson M. [UNESP], Lopes, Vicente [UNESP], Brennan, Michael John [UNESP], Santana Alves, Marco Tulio
• Format: Article
• Language: eng
• Source: Repositório Institucional da UNESP
• Download full: http://dx.doi.org/10.1590/S1678-58782012000500007; http://hdl.handle.net/11449/9919
• 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.