Asynchronous Tracking Control of Amplitude Signals in Vibratory Gyroscopes with Partially Unknown Mode Information

Vibratory gyroscopes are the most ideal inertial sensors in the 21st century. The amplitude is an important index of vibratory gyroscopes. This article investigates an asynchronous tracking control approach for amplitude signals in vibratory gyroscopes. Since the manufacturing error of vibratory gyroscopes can result in the stochastic signal of the amplitude, Markov stochastic systems are adopted to approximate vibratory gyroscopes. Because the stochastic signal results in the amplitude jitter, a novel doubly fed tracking controller with the stochastic stability performance is proposed for reducing the amplitude jitter. In the practical application, regarding the known degree of the stochastic process, the partially unknown mode information is approximately given. By considering the asynchronous phenomenon between the system mode and controller mode, a hidden Markov model is constructed to name the resultant tracking error system. It is proved that the tracking error system is stochastically stable. Furthermore, the presented asynchronous tracking controller can well track the reference amplitude signal and significantly reduce the amplitude jitter. Finally, comparative results show the control precision of amplitude signals is significantly improved such that the better precision and performance of vibratory gyroscopes are achieved, which demonstrates the effectiveness and practicability of the proposed control approach.