The linearization for wave solid-state gyroscope resonator oscillations and electrostatic control sensors forces

A wave solid-state gyroscope with a cylindrical resonator and electrostatic control sensors is considered. The gyroscope dynamics mathematical model describing nonlinear oscillations of the resonator under voltage on the electrodes is used. The reference voltage causes a cubic nonlinearity and the alternating voltage causes a quadratic nonlinearity of the control forces.
Various regimes of supplying voltage to gyro sensors are investigated. For the linearization of oscillations the form of voltages on the electrodes is presented. These voltages compensate for both nonlinear oscillations of the resonator caused by electrostatic sensors and those caused by other physical and geometric factors. It is shown that the control forces have a nonlinearity that is eliminated by the voltage applied to the electrode system according to a special law.
The proposed method can be used to eliminate nonlinear oscillations and to linearize power characteristics of sensors for controlling wave solid-state gyroscopes with hemispherical, cylindrical and ring resonators.