We found out that the PI controller were not tuned optimally, and that control could be improved by adding D-action to the PI controller. In addition, we found out that control could be improved by extending the PID controllers with self-learning feedforward (Iterative Learning Control). We helped implement the proposed changes to the control system. As a result, the standard deviation of the pressures reduced by 40%. The figure below shows measurements BEFORE and AFTER the control changes.
Result: 40% decrease of pressure variations (reduction in standard deviation)
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