Torque shares that express an exchange of torque are set as a constraint condition of an equation of motion of an automatic transmission, so it is suitable to control an exchange of torque between engagement devices, which is difficult in shift control, and it is possible to solve the equation of motion. In other words, it is possible to handle any shift pattern with the use of a predetermined shift model. Furthermore, at the time of a shift in which two elements are released and two elements are engaged, a first shift and a second shift in each of which one element is released and one element is engaged are carried out, so three control operation amounts are used in each of the first shift and the second shift, with the result that it is possible to solve the equation of motion.