In this paper, we present a wide-bandwidth digital rebalance loop for a dynamically tuned gyroscope(DTG) based on {{{{ { H}_{2 } }}}} methodology. The operational principle and the importance of a rebalance loop are explaind, first. The augmented plant model is constructed, which includes a gyroscope model and an integrator. An {{{{ { H}_{ 2} }}}} based controller is designed for the augmented plant model. To verify the performance of the controller, a digital rebalance loop for a DTG is designed, fabricated and experimented. Through frequency response analyses and experiments using a real DTG, it is confirmed that the controller is more robustly stable and has a wider bandwidth compared with those of a conventional PID controller, contributing to the performance improvement of a DTG.