Structural acoustic control via passive and hybrid electrical shunting of a piezoceramic wafer bonded onto the surface of a simply supported plate is investigated with emphasis on modeling and understanding the effect of piezoceramic nonlinearity on system performance. A nonlinear rate-independent finite-dimension Ishlinskii hysteresis model is experimentally identified for the PZT wafer by itself and then integrated into the coupled dynamic equations of the overall system consisting of the plate and electrically shunted PZT wafer. This model is then used to investigate the impact of PZT hysteresis on its structural acoustic control performance in passive and hybrid scenarios. A multi-term describing function representation of the Ishlinskii hysteresis model is formulated to aid in computational studies.

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