A controller includes a forced-induction-device controlling section, an obtaining section that is configured to repeatedly obtain a temperature of the coolant in the intake-air cooling system, a determining section that is configured to determine whether the temperature obtained by the obtaining section is higher than or equal to a forced-induction limiting control starting temperature. On condition that the temperature of the coolant has risen to a value at which the determining section determines that the temperature obtained by the obtaining section is higher than or equal to the forced-induction limiting control starting temperature, the forced-induction-device controlling section starts a forced-induction limiting control to lower a forced-induction pressure. In the forced-induction limiting control, the forced-induction-device controlling section increases an extent of limiting of the forced induction as the temperature obtained by the obtaining section becomes closer to the boiling point.