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

• Published in: Applied acoustics Vol. 74; no. 10; pp. 1175 - 1181
• Main Authors: Zhou, Ya Li, Yin, Yi Xin, Zhang, Qi Zhi
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.10.2013; Elsevier
• Subjects: Acoustics; Active noise control; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Noise: its effects and control; Non-minimum phase; Periodic impulsive noise; Physics; Repetitive control; Periodic impulsive noise; Non-minimum phase; Active noise control; Repetitive control; Experimental test; Impulsive system; Non minimum phase system; Algorithm; Noise control; Modeling; Simulation; Active control; Periodic system
• ISSN: 0003-682X; 1872-910X
• DOI: 10.1016/j.apacoust.2013.04.008

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.