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Overcoming limitations of Rate Integrating Gyroscopes by virtual rotation

Rate Integrating Gyroscopes (RIGs) excel at measuring high rates of rotation, however for rotation rates less than the drift due to frequency or damping mismatch the measured angle will not track the rotation angle and the gyro will effectively fail to operate. Here we show that by applying large virtual rotation using the gyroscope's control electrodes, the drift due to damping mismatching is averaged out, which reduces the error due to damping mismatch and also allows the RIG to measure rates smaller than the damping mismatch. An explicit solution for the angle drift is also derived for the first time in this work.