Abstract

This paper presents an investigation into control of sealed conical bores. Beginning with an impedance model of the enclosure, frequency domain and state-space models of the system are developed as functions of the geometric and mechanical properties of the cone. A discussion of coupling this acoustic model with the electrical and mechanical dynamics of a permanent magnet speaker are also presented. Using a sample geometry, the accuracy of this coupled model is validated against experimental results, indicating accuracy levels of 1.75% or lower in prediction of resonance frequencies. This paper concludes with a study on applying Linear Quadratic Regulator techniques to this system, relating trade-offs between average pressure and control voltages. The results of our simulations indicate that pressure reductions of 40.5% are attainable with average control voltages of 3.26 volts when subject to low level impulse disturbances, as applied to an example geometry.

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