A system includes a control module that controls a motor based on a first rotor angle and an angle determination module that generates the first rotor angle. An estimator module determines an estimated rotor angle of the motor. A transition module generates a transition signal in response to convergence of the estimator module. The angle determination module initially generates the first rotor angle based on an open loop angle. In response to the transition signal, the angle determination module switches to generating the first rotor angle based on the estimated rotor angle and an offset value. The offset value is based on a difference between the estimated rotor angle and the open loop angle at the time when the transition signal is generated.