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This paper addresses the active vibration control of a new smart board designed by mounting piezoelectric fibers with a metal core on the surface of the CFRP composite. These complex fibers function as sensors and actuators in the CFRP board. A finite-element model of a cantilever and a reduced order model for controller design were established. The piezoelectric fibers are uneven in the actuator outputs. Therefore, a linear fractional transformation (LFT) is formulated considering the unevenness of the actuator outputs as the perturbation. Next, the controller is designed by using μ synthesis, considering the perturbation and robust stability. The control performance of the proposed method is verified by experiment and demonstrates that piezoelectric fibers can be effectively used in vibration control.
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Takagi et al. (2006) studied this question.
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