1. A welding system comprising:power conversion circuitry configured to convert incoming power from a source to welding power;
control circuitry coupled to the power conversion circuitry and configured to:
compute command signals via a control process to control the welding power output by the power conversion circuitry in a welding operation, the control process comprising closed loop control of voltage, detection of a predetermined rate of change of a welding parameter, suspension of the closed loop control of voltage and implementation of a current recess based at least in part on detection of the predetermined rate of change of the welding parameter, followed by resumption of closed loop control of voltage after termination of the current recess; and
during the current recess, continue to compute the command signals that would have been applied to the power conversion circuitry but for the current recess, without applying the computed command signals to the power conversion circuitry during the current recess.