A control apparatus of a supercharging system for supplying an engine with compressed intake air, the control apparatus comprising: a supercharger including a compressor configured to compress the intake air to be supplied to the engine; and a controller for controlling a control device (6, 26, 28) affecting operation of the compressor, wherein the controller includes: a compressor map storage part configured to store a compressor map which indicates a relationship of an intake volume flow rate, a pressure ratio, and a compressor rotation speed in the compressor; a current position calculation part configured to calculate a current position of an operational point of the compressor on the compressor map every predetermined period; a moving direction calculation part configured to calculate a current moving direction of the operational point on the compressor map on the basis of a previous position and the current position of the operational point calculated by the current position calculation part; and a control part configured to control the control device (6, 26, 28) on the basis of the current position of the operational point calculated by the current position calculation part and the moving direction of the operational point calculated by the moving direction calculation part, wherein the controller further includes a moving velocity calculation part configured to calculate a moving velocity of the operational point on the basis of a change amount per time of the current position of the operational point calculated by the current position calculation part, and wherein the control part is configured to control the control device (6, 26, 28) on the basis of the current position of the operational point calculated by the current position calculation part, the moving direction of the operational point calculated by the moving direction calculation part, and the moving velocity of the operational point calculated by the moving velocity calculation part. a supercharger including a compressor configured to compress the intake air to be supplied to the engine; and a controller for controlling a control device (6, 26, 28) affecting operation of the compressor, wherein the controller includes: a compressor map storage part configured to store a compressor map which indicates a relationship of an intake volume flow rate, a pressure ratio, and a compressor rotation speed in the compressor; a current position calculation part configured to calculate a current position of an operational point of the compressor on the compressor map every predetermined period; a moving direction calculation part configured to calculate a current moving direction of the operational point on the compressor map on the basis of a previous position and the current position of the operational point calculated by the current position calculation part; and a control part configured to control the control device (6, 26, 28) on the basis of the current position of the operational point calculated by the current position calculation part and the moving direction of the operational point calculated by the moving direction calculation part, wherein a compressor map storage part configured to store a compressor map which indicates a relationship of an intake volume flow rate, a pressure ratio, and a compressor rotation speed in the compressor; a current position calculation part configured to calculate a current position of an operational point of the compressor on the compressor map every predetermined period; a moving direction calculation part configured to calculate a current moving direction of the operational point on the compressor map on the basis of a previous position and the current position of the operational point calculated by the current position calculation part; and a control part configured to control the control device (6, 26, 28) on the basis of the current position of the operational point calculated by the current position calculation part and the moving direction of the operational point calculated by the moving direction calculation part, wherein the controller further includes a moving velocity calculation part configured to calculate a moving velocity of the operational point on the basis of a change amount per time of the current position of the operational point calculated by the current position calculation part, and wherein the control part is configured to control the control device (6, 26, 28) on the basis of the current position of the operational point calculated by the current position calculation part, the moving direction of the operational point calculated by the moving direction calculation part, and the moving velocity of the operational point calculated by the moving velocity calculation part. a moving velocity calculation part configured to calculate a moving velocity of the operational point on the basis of a change amount per time of the current position of the operational point calculated by the current position calculation part, and wherein the control part is configured to control the control device (6, 26, 28) on the basis of the current position of the operational point calculated by the current position calculation part, the moving direction of the operational point calculated by the moving direction calculation part, and the moving velocity of the operational point calculated by the moving velocity calculation part.