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A new technique for controlling noise transmission into a cavity using piezoelectric actuators on an elastic plate is discussed. This study involves construction of a fully coupled acoustics/plate interaction model. This model is used to guide development of a new active noise control method. In real implementation, this approach does not require adaptive signal processing such as the least-mean squares (LMS) method to minimize the acoustic energy in the cavity for control [Pan et al., J. Acoust. Soc. Am. 87, 2098-2108 (1990) ]. It shares a similar concept with the plate velocity feedback control. However, the plate velocity feedback control is effective only for the plate controlled modes, whereas the new method is effective for both the plate and cavity controlled modes. A comparison of the simulations using the velocity feedback and the least mean squares method with the new technique will be discussed.

1. We recall the meaning attributed by F. Hausdorff to the statement: ‘The (linear) set S is of dimension [h(x)].’