A Model-Free Active Noise Control for Periodic Disturbances: with Guaranteed Stability and Robustness

Acoustic noise attenuation is crucial in both industrial and everyday applications, particularly for low-frequency disturbances that passive methods cannot effectively mitigate. This paper presents a model-free active noise control (ANC) strategy inspired by the internal model principle (IMP), specifically designed for periodic noise in duct systems. We demonstrate significant attenuation of low-frequency noise while ensuring input-to-state stability, all without prior model information regarding the acoustic system’s parameters or structure. More importantly, the proposed method robustly tolerates frequency estimation errors and measurement noise, as evidenced by theoretical analysis and experimental validation. Finally, benchmark experiments reveal the adaptability and generality of our approach within unknown environments and diverse systems. Our findings highlight the potential of IM-based model-free ANC strategies for practical applications in complex acoustic environments.