Sailing stop control method and control device for vehicle

A sailing stop control device for a vehicle including an engine, a transmission, a friction engaging element, and, drive wheels, comprising:

• a sailing stop controller programmed to:
• execute a sailing stop control to coast by shutting off power transmission by the friction engaging element and stopping the engine based on satisfaction of a sailing enter condition,
• restart the engine upon satisfaction of a sailing exit condition during coasting by the sailing stop control,
• determine if the sailing exit condition is a brake petal depressing operation,
• if the sailing exit condition is a brake petal depressing operation, execute a shift control to set a target speed ratio of the transmission to a highest speed ratio in a speed ratio region smaller than a coasting speed ratio during the coasting, the highest speed ratio satisfying engine exhaust performance after the restart of the engine,
• determine, after an end of the shift control of the transmission, if input and output revolution speeds of the friction engaging element are equal to a synchronous revolution speed, and
• if the input and output revolution speeds of the friction engaging element are equal to the synchronous resolution speed, re-engage the friction engagement element.