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System identification and active vibration control of a flexible structureDOI: 10.1590/S1678-58782012000500007 Keywords: observer [kalman filter identification (okid)], eigensystem realization algorithm (era), optimal vibration control, piezoelectric smart structures. Abstract: 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.
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