Nonlinear dynamics and control for single-axis gyroscope systems

A nonlinear feedback control system of the single-axis gyroscope governed by a servo motor is studied in this paper. The closed-loop feedback is designed to account for the gimbal nutation as the gyroscope undergoing an angular velocity in the perpendicular directions. This paper integrates the singular perturbation modeling technology and sliding mode control strategy, while the stability of the closed-loop system is ensured by proof via Lyapunov direct method. Finally, comparisons among pole placement, sliding mode control and angular displacement feedback with respect to regulation capability and transient performance are reported. The simulation results demonstrate the superiority of singular perturbation sliding mode control and its potential to be facilitated in the aircraft safety module on detection and prevention from rollover during flight.