An integrated circuit may be provided with power switching circuitry. The power switching circuitry may include a primary power switch and multiple auxiliary power switches. A power gating control circuit may output control signals for selectively activating the primary power switch and at least one of the auxiliary power switches to charge a gated voltage. One or more voltage detectors may be configured to monitor the gated voltage and to activate the remaining auxiliary power switches in response to detecting that the gated voltage exceeds one or more thresholds. Configured and operated in this way, inrush current surge protection can be achieved while charging up the gated voltage sufficiently fast.