Fixed gain multichannel active noise control with disturbance dependent objectives and iterative solution.

Area of Science:

• Acoustics and Signal Processing
• Control Theory and Engineering

Background:

• Traditional feedforward controllers face challenges with complex sound fields and varying control objectives.
• Optimizing controllers for diverse disturbances often requires computationally intensive matrix inversions, potentially exceeding memory limits.

Purpose of the Study:

• To develop an efficient solution method for fixed multichannel frequency domain feedforward controllers.
• To address the computational challenges posed by disturbance-dependent control objectives in active noise control (ANC).

Main Methods:

• An iterative method based on the conjugate gradient technique is employed for systems with numerous sensors and sources.
• A novel preconditioner, independent of disturbance, is introduced to enhance convergence rates.
• The method is demonstrated through a numerical example for active control within a room environment.

Main Results:

• The iterative method efficiently solves for disturbance-dependent active noise control problems.
• The proposed preconditioner improves convergence for specific applications.
• The technique is suitable for systems with a large number of sensors and sources.

Conclusions:

• The developed iterative method provides an efficient solution for designing advanced feedforward controllers.
• This approach effectively handles complex sound field disturbances and disturbance-dependent control objectives in ANC.
• The study offers a practical solution for real-world active noise control applications.