A novel tracking control approach of amplitude signals for vibratory gyroscopes suppressing high-frequency disturbance

Vibratory gyroscopes are the most ideal novel inertial sensors in the 21st century. The amplitude is an important index of vibratory gyroscopes. The high-frequency disturbance is a common and intricate problem in vibratory gyroscopes. The paper investigates a novel tracking control approach that tracks the reference amplitude signal and suppresses the high-frequency disturbance for vibratory gyroscopes. First, the original dynamic system is transformed into an interval type-2 (IT2) fuzzy system such that the nonlinearity and uncertainty of the system are well handled. To reduce the conservatism of the asymptotic stability condition, a novel coupling-factors-dependent Lyapunov function is constructed, in which the system state depends on coupling factors. Then, to track the reference amplitude signal and suppress the high-frequency disturbance simultaneously, a doubly-fed tracking controller with nonfragile property is developed such that the state error system is asymptotically stable with a prescriptive performance. Finally, the comparative results of a vibratory gyroscope are done to show that the proposed control approach can greatly improve the control precision of amplitude signals, which demonstrates the effectiveness of the proposed control approach.