Abstract: A gyroscope system includes a gyroscope (1), angle pick-offs (5) and a control circuit (6,7). The angle pick-offs (5) sense the tilt of the gyroscope's rotor and generate a signal which is received by the control circuit (6,7). The control circuit generates a control signal which causes a torque to be applied to the rotor. The control circuit includes both a primary integrator (6) which integrates the signal from the angle pick-offs (5) and a secondary integrator (7) which integrates the signals output by the primary integrator (6).In one example an independent angular accelerometer provides a further input to the secondary integrator (7).