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A novel orthogonalized fractional order filtered-x normalized least mean squares algorithm for feedforward vibration rejection

机译：前馈振动抑制的新型正交化分数阶滤波-x归一化最小二乘算法

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摘要

This paper mainly discusses a pattern of vibration rejection by using a feedforward controller. Conventional filtered-x normalized least mean squares (Fx-NLMS) algorithm converges slow especially when signals are not independent on each other. Therefore, a novel orthogonalized fractional order filtered-x normalized least mean squares (Orth-FONLMS) algorithm is proposed to obtain the precise parameters of the feedforward controller. The proposed algorithm is an improved Fx-NLMS algorithm by using fractional calculus and orthogonal transform. To implement the algorithm, fractional order gradient method and adaptive lattice filter are introduced, respectively. Numerical simulation proves that the proposed algorithm outperforms over the Fx-NLMS and fractional order filtered-x normalized least mean squares (Fx-FONLMS) algorithm in terms of convergence rate and accuracy. (C) 2018 Elsevier Ltd. All rights reserved.
机译：本文主要讨论使用前馈控制器的振动抑制模式。常规的滤波X归一化最小均方（Fx-NLMS）算法收敛速度较慢，尤其是当信号彼此不独立时。因此，提出了一种新颖的正交化分数阶滤波-x归一化最小均方算法（Orth-FONLMS），以获取前馈控制器的精确参数。该算法是分数阶微积分和正交变换的改进Fx-NLMS算法。为了实现该算法，分别介绍了分数阶梯度法和自适应晶格滤波器。数值仿真证明，该算法在收敛速度和准确性方面优于Fx-NLMS和分数阶滤波X归一化最小均方算法（Fx-FONLMS）。 （C）2018 Elsevier Ltd.保留所有权利。

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