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21 August 2001 New wave-number domain sensing method for active structural acoustic control
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A new wavenumber domain sensing method has been developed and applied to feedback controller design for active structural acoustic control. The approach is to minimize the total acoustic power radiated form vibrating structures in the wavenumber domain. If the disturbance spectrum is given, the target wavenumbers in the supersonic domain (i.e., the radiating wavenumbers) can be determined. Then, a state-space model can be found to estimate the magnitude of the supersonic wavenumber components. Once we have a state-space model that can be used for active structural acoustic control, a modern control design paradigm can be applied to minimize the acoustic power radiated from vibrating structures. The new sensing method was numerically validated on a thick-walled cylindrical shell with 55 active composite panels mounted. It is found that the method enables us to systematically find a state-space model for wavenumber components in the supersonic region, and therefore makes it easy to design MIMO LQG controller.
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Kyungyeol Song, Mauro J. Atalla, and Steven R. Hall "New wave-number domain sensing method for active structural acoustic control", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001);

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