Fast feedforward vibration rejection algorithms based on orthogonalization

Vibration rejection using feedforward control architecture is presented in this paper showing that both input and output vibration rejection can be utilized as one problem. Wiener solution to this problem is derived by using numerical data. Two fast convergence feedforward control algorithms are dev...

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Bibliographic Details
Main Authors: Pan, Jinwen, Zhi Chen, Wang, Yong, Horowitz, Roberto
Format: Conference Proceeding
Language:English
Subjects:
Algorithm design and analysis
autocorrelation function
Convergence
cross-correlation function
eigenvalue spread
Eigenvalues and eigenfunctions
fast convergence
Feedforward neural networks
Fx-LMS
orthogonal transform
Signal processing algorithms
Transforms
Vibration rejection
Vibrations
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Description
Summary:Vibration rejection using feedforward control architecture is presented in this paper showing that both input and output vibration rejection can be utilized as one problem. Wiener solution to this problem is derived by using numerical data. Two fast convergence feedforward control algorithms are developed and analyzed to solve the slow convergence rate of Fx-LMS algorithm when underlying inputs are highly correlated. Theoretical results show that the Orth.-X algorithm can always improve the convergence rate over Fx-LMS algorithm while the Orth.-A algorithm outperforms the Fx-LMS algorithm conditionally. Then numerical examples are given in details to show the procedure of analyzing the provided algorithms. Moreover, comprehensive simulation results coincide with the numerical analysis.
ISSN:2378-5861
DOI:10.23919/ACC.2017.7963102