Compensation for canonical second order systems for eliminating peaking at the natural frequency and increasing bandwidth
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United States of America Patent
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Mar 8, 2016
Grant Date -
Apr 9, 2015
app pub date -
Oct 8, 2013
filing date -
Oct 8, 2013
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Abstract
The present invention adds gain and phase into a canonical second order system in order to mitigate the adverse effects of unwanted resonance, where the gain is added to the forward path of a control loop of the system and is a ratio of the square of the system and mechanism frequencies, and the phase lead (H-factor) is added to the feedback path of the control loop of the system and is a complex ratio of these frequencies which includes a dc-component (Hdc) and a zero- or pole-component. By adding gain and phase lead, which is contrary to current approaches to addressing resonance, the present invention achieves the desired result of resonant free application in a canonical resonant-prone system of second order, and the methodology is applicable to higher order systems.
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