CONTROL APPARATUS FOR VEHICLE AND CONTROL METHOD FOR VEHICLE

A control apparatus for a vehicle that includes an engine (15), a drive wheel (12), a non-drive wheel (11), a stepped automatic transmission (17) a coupling device (16) and a braking device (20), the control apparatus includes an ECU (30). The ECU is configured to: execute a target idle speed control; set an upper limit value of the target idle speed when a specified low µ road control condistion is establisued whiled the brake acts on the vehicle such that the upper limit value when the transmission is in first gear is smaller than the upper limit value when the transmission is in second gear; and set a change rate of the upper limit value such that the change rate when the transmission shifts from first to second gear is smaller than the change rate when the transmission shifts from second to first gear.