An optimal repetitive control algorithm for periodic impulsive noise attenuation in a non-minimum phase ANC system

In this paper, active control of periodic impulsive noise based on an optimal repetitive control (RC) algorithm is studied. The characteristic equation of the closed-loop active noise control (ANC) system based on the RC algorithm is first obtained, and then the stability condition of the ANC system is derived. According to the stability condition, a novel optimal RC algorithm is developed for an ANC system with a non-minimum phase secondary path. Computer simulations have been carried out to suggest that the proposed algorithm is effective for attenuating periodic impulsive noise, and then the proposed algorithm has been implemented in a digital signal processor (DSP)-based experimental ANC system. Experimental results show that the proposed scheme has good performance for canceling periodic impulsive noise in a non-minimum phase ANC system.