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 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.