New feedforward filtered-x least mean square algorithm with variable step size for active vibration control

Abstract

The step size of least mean square (LMS) algorithm is significant for its performance. To be specific, small step size can get small excess mean square error but results in slow convergence. However, large step size may cause instability. Many variable step size least mean square (VSSLMS) algorithms have been developed to enhance the control performance. In this paper, a new VSSLMS was proposed based on Kwong's algorithm to evaluate the robustness. The approximate analysis of dynamic and steady-state performance of this developed VSSLMS algorithm was given. An active vibration control system of piezoelectric cantilever beam was established to verify the performance of the VSSLMS algorithms. By comparing with the current VSSLMS algorithms, the proposed method has better performance in active vibration control applications.

A novel variable step size least mean square method for adaptive micro-vibration control

“…Four typical VSSLMS algorithms with the CFF are chosen: Kwong's algorithm (Kwong and Johnston, 1992), Aboulnasr's algorithm (Aboulnasr and Mayyas, 1995), Huang's algorithm (Huang et al, 2015), and a VSSLMS algorithm we proposed last year is included (Fang et al, 2019). Their step size update equations are listed in detail and the computational cost are compared in Table 1.…”

“…Although the study of the step size for the above four VSSLMS algorithms has been carried out, there is no general guideline for the selection of the step size in these proposed methods. The performance comparison between the four algorithms is shown in reference Fang et al (2019). In this article, we only care about the performance comparison between the VSSLMS algorithms and their modified versions.…”

“…Bin Saeed used the Kwong’s algorithm in adaptive networks and got a good result (Bin Saeed and Zerguine, 2020). A VSSLMS algorithm we proposed last year for AVC application also belongs to this technique (Fang et al, 2019). For the VSSLMS algorithms with a CFF, although the above four algorithms could perform well in their articles, the existing of forgetting factor damped the step size quickly.…”

Error Signal Differential Term Feedback Enhanced Variable Step Size FxLMS Algorithm for Piezoelectric Active Vibration Control

“…At the same time, under low SNR (signal noise ratio) environment, the convergence effect of this algorithm is not very ideal, which greatly restricts its application range [16]. In addition, most of the existing variable step size LMS algorithms are mainly used in the fields of system identification [17,18] and active noise control [19,20], which are different from their application in the active control of structural vibration [21,22]. In the field of AVC, the system may be interfered by strong external noise, which makes the algorithm generate larger step size and output too large control signals, causing system instability or even damage.…”