A robust filtered-x LMS algorithm for active vibration control

In this paper, a new robust filtered-x LMS algorithm is proposed for active vibration control system. A Tracking-Differentiator filter and a non-linear transformation function are designed to process the reference and error signals respectively. The updating formula of the filter coefficients in the proposed algorithm is derived from a new minimization criterion that minimizes the Euclidean norm of difference between the currently innovation vector and past vector. Compared with the existed algorithms, the proposed algorithm is more robust against interference to reference signals. Numerical simulation results show the effectiveness of the algorithm.