Methods to eliminate nonlinearity of electrostatic control sensors of the wave solid-state gyroscope

Abstract

The wave solid-state gyroscope with a ring resonator and electrostatic control sensors is considered. We deduce a mathematical model which describes nonlinear oscillations of the resonator when the control voltage is applied to the electrodes. Various schemes and modes of supplying voltage to the gyroscope sensors are studied. It is shown that reference voltage causes cubic nonlinearity, and alternating voltage causes quadratic nonlinearity of control forces in one mode of the supplying voltage. In another mode, apart from the cubic nonlinearity caused by the reference voltage, there are both the constant component and quadratic nonlinearity. To linearize the resonator oscillations, special supplying voltage modes for the control electrodes are presented. The formed control modes compensate for the nonlinear resonator oscillations caused by the electrostatic sensors. The proposed technique can be used to eliminate nonlinear oscillations and to linearize force characteristics of control sensors for wave solid-state gyroscopes with ring resonators.