A servoventilator control slowly changes the target ventilation over a period of time, according to a preprogrammed schedule adapted to be set by the physician. Preferably, the target ventilation stays constant at an initial target ventilation for an initial hold time, and then increases at a constant rate until it reaches a final target ventilation, whereupon it stays constant thereafter. If the pressure support level is too high, possibly indicating glottic or upper airway closure, the rate of increase of target ventilation may be lowered or the final target ventilation not reached.