
Variable step strategy for online secondary path modelling in active vibration control systems
Author(s) -
Yang Xiaojing,
Hu Junwen,
Li Shan
Publication year - 2019
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2018.8951
Subject(s) - convergence (economics) , path (computing) , variable (mathematics) , computer science , noise (video) , control theory (sociology) , white noise , vibration , stability (learning theory) , active noise control , secondary source , control variable , algorithm , mathematical optimization , control (management) , noise reduction , mathematics , artificial intelligence , telecommunications , machine learning , mathematical analysis , social science , physics , quantum mechanics , sociology , economics , image (mathematics) , programming language , economic growth
An online modelling method for secondary path of two distinct variable step‐size strategies based on the filtered‐x least square (FXLMS) algorithm is proposed. In this method, the variable step‐size strategy with two distinct steps is used, and two variable step‐size strategies are used before and after the secondary path modelling process converges, so that the convergence rate is guaranteed. At the same time, it can effectively avoid the fluctuation after the system converges and improve the stability and modelling accuracy of the system. Due to the white noise, the signal of secondary path modelling will affect the control part. A white noise control strategy is proposed to adjust the white noise according to the change of the step‐size of the secondary path. On the premise of ensuring identification speed and precision, the influence of white noise on the control part is eliminated as far as possible. Compared to the existing methods, the simulation result shows that the proposed method can significantly improve the modelling accuracy of the secondary path while ensuring the convergence speed and has a better performance in vibration control effects.