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System identification and active vibration control of a flexible structure

2012; Springer Science+Business Media; Volume: 34; Issue: spe Linguagem: Inglês

10.1590/s1678-58782012000500007

1806-3691

Gustavo Abreu, Sanderson Manoel da Conceição, Vicente Lopes, M.J. Brennan, Marco Túlio Santana Alves,

Dynamics and Control of Mechanical Systems

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.