Numerical simulation of active control with on-line system identification on sound transmission through an elastic plate

Abstract

An adaptive control algorithm with on-line system identification capability has been developed. One of the great advantages of this scheme is that an additional system identification mechanism such as an additional uncorrelated random signal generator as the source of system identification [Eriksson and Allie, J. Acoust. Soc. Am. 85, 797–802 (1989)] is not required. A time-varying plate-cavity system is used to demonstrate the control performance of this algorithm. The time-varying system consists of a stainless-steel plate which is simply supported on a rigid cavity where the cavity temperature can depend on time. For a given externally located harmonic sound excitation, the system identification and the control are simultaneously executed to minimize the transmitted sound in the cavity. The control performance of the algorithm is examined for two cases. Keeping the cavity temperature constant for the first case, the external disturbance frequency is swept with 2 Hz/s from below to above a resonance frequency of the plate-cavity system. The simulation shows an excellent frequency tracking capability with cavity internal sound suppression of 40 dB. For the second case, the cavity temperature is lowered to a half of its original value in 60 s while the external sound excitation is fixed with a frequency. Hence, the cavity resonant frequency decreases and passes the external sound excitation frequency. The algorithm shows 40 dB transmitted noise suppression without compromising the system identification tracking capability.