FxLMS algorithm with variable step size and variable leakage factor for active vibration control

This paper discusses a novel adaptive algorithm termed variable step size and variable leakage factor filtered-x least-mean-square (VSSVLFxLMS) algorithm for applications in active vibration control (AVC). For such applications, the leaky filtered-x LMS (LFxLMS) algorithm has been considered for stability purposes. However, when the standard LFxLMS algorithm (with fixed leakage) is used, the control performance is strongly dependent on the selected leakage value. A similar result is noticed concerning the chosen step-size value. Thus, by using the proposed VSSVLFxLMS algorithm better step-size and leakage values are obtained, improving considerably the control performance. The conjectures of this work are confirmed by implementing the referred algorithm in an experimental setup of an AVC system.