A control circuit configured to control a power stage circuit of a switch-type converter can include: a current detection circuit configured to detect whether an inductor current rises to a first threshold value during an on time of a first switch, and to detect whether the inductor current is greater than a second threshold value when an on time of a second switch is greater than or equal to a current detection blanking time, where the power stage circuit includes the first and second switches and the inductor; and a logic circuit configured to deactivate a first switch control signal and to activate a second switch control signal when the inductor current rises to the first threshold value such that the first switch remains off and the second switch remains on during a regulation time.