Constant delay filtering for synchronized motion on multiple axes

Abstract

In a linear feedback servo control system, the motion profile for each axis is pre-filtered before it is introduced to the servo loop for that axis. The motion profile is pre-filtered by a filter having an inverse amplitude response to the amplitude response of the servo loop. Therefore, the composite amplitude response of the filter/servo loop combination is approximately ideal for all relevant frequencies. The pre-filtering is done using constant delay filters, whether high pass, low pass or hybrid, that exhibit a phase lag corresponding to a time delay that is essentially constant at all relevant frequencies. Each axis of synchronized motion is pre-filtered with constant delay filters having the same time delay constant, but selected so that the motion of each axis provides sufficient accuracy within the intended bandwidth of that particular axis. Consequently, while phase lag is not zero, there is essentially constant delay for all axes at all relevant frequencies. Therefore, synchronized motion is preserved because motion in all axes is delayed by a constant amount.

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