Active Noise Control Based on Adaptive Bilinear F-L Algorithm

In order to solve nonlinearity of active noise control systems in real-world applications, adaptive bilinear F-L algorithm based on Lyapunov stability theory is proposed. Unlike the traditional FXLMS algorithm using gradient theory, a Lyapunov function of the tracking error systems is defined, and adaptive output-error bilinear filter coefficients are then adaptive adjusted. Because the stability is guaranteed by Lyapunov stability theory, the error converges to zero asymptotically. By simulation results the adaptive bilinear filter algorithm is shown to be more effective in convergence properties than FXLMS algorithm in nonlinear active noise control system.