A control device for controlling a rotary electric machine, the control device includes a current command unit, a voltage conversion device, a current conversion device, a signal demodulation device, an error compensation unit, an adding device and a position estimation device. The current command unit provides a d-axis current command and a q-axis current command. The current conversion device converts a current of the rotary electric machine to a synchronous reference coordinate current. The signal demodulation device computes a current variation of a high-frequency synchronous reference coordinate current. The error compensation device outputs a first correction value. The adding device adds the current variation of the high-frequency synchronous reference coordinate current and the first correction value to generate a second correction value. Based on the second correction value, the position estimation device adjusts a phase estimation value for the current conversion device and the voltage conversion device.