Performance analysis of decentralized multi-channel feedback systems for active noise control in free space

This paper investigates the performance of decentralized multi-channel feedback analog control systems, which are flexible and economic for practical applications of active noise control. The generalized Nyquist theorem and Gerschgorin circle theorem are used to derive a sufficient stability condition in terms of the predefined maximum noise amplification and the geometrical configuration of the independent controllers, and the noise reduction performance of the multi-channel system is predicted with the design and geometrical configuration of the independent controllers. Simulation and experimental results are presented to illustrate the effectiveness of the proposed analysis