Piezoelectric intelligent material is used to suppress the vibration of a flexible cantilevered epoxy plate which is used to simulate satellite's solar board. Sensing and actuating models of one-dimension and two-dimension piezoelectric structures are set up. It is proved that the main way of D-optimization method and modal-force rule to optimize the location of the sensors and actuators are the same, which is to put the sensors and actuators on the place of maximum modal strain. By analyzing the characteristics of flexible plate, two respective control channels for the vibration control of the two-dimension flexible plate are realized through the proper arrangement of the piezoelectric elements. Based on the characteristic model of plate, adaptive control strategy which is simple, effective and easy, are designed. A computer based multi-in and multi-out (MIMO) active vibration control system for the flexible plate is established. Experiments of vibration control are carried out, the results show that the designed system can control very well the vibration of not only the single mode but also two coupled modes of the cantilever plate. The results prove that the arrangement of piezoelectric sensors and actuators is reasonable and the control methods are effective.
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