Abstract
In this paper, the MFC sensor and actuators are applied to suppress
circular plate vibrations. It is assumed that the system to be regulated
is unknown. The mathematical model of the plate was obtained on the base
of registration of a system response on a fixed excitation. For the
estimation of the system’s behaviour the ARX identification method was
used to derive the linear model in the form of a transfer function of the
order nine. The obtained model is then used to develop the linear feedback
control algorithm for the cancellation of vibration by using the MFC
star-shaped actuator (SIMO system). The MFC elements location is dealt
with in this study with the use of a laser scanning vibrometer. The
control schemes presented have the ability to compute the control effort
and to apply it to the actuator within one sampling period. This control
scheme is then illustrated through some numerical examples with
simulations modelling the designed controller. The paper also describes
the experimental results of the designed control system. Finally, the
results obtained for the considered plate show that in the chosen
frequency limit the designed structure of a closed-loop system with MFC
elements provides a substantial vibration suppression.
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