Active vibration control of inlet piping system with a time-variant secondary path using the mirror modified filtered-x least mean square algorithm

Active vibration control under a time-variant secondary path is a research priority in the field of vibration suppression. To track the varied secondary path, the mirror modified filtered-x least mean square (MMFxLMS) algorithm is proposed. However, due to the expensive computing cost and difficulty to adjust the modeling performance of the primary and secondary paths independently, the application of the MMFxLMS algorithm is limited. The algorithm is studied in this paper. First, the complexity is reduced by simplifying the normalization using an exponential window. The convergence of the overall modeling algorithm using different stepsizes and the influence of the background noise on the overall modeling results are analyzed, respectively. Simulation studies show that the algorithm using different stepsizes reaches a better performance than the classical MMFxLMS algorithm. To illustrate the proposed method is a promising algorithm, experiments on controlling the vibration of the piping system, which is basic cooling equipment on a ship propulsion system, are carried out. As these investigations illustrate, the proposed measures efficiently improve the performances of the MMFxLMS algorithm in convergence speed, control effect, and the property of dealing with time-varying parameters.