Computational Component in a Hemispherical Resonator Gyroscope with its Measuring Component Utilising Alternating Voltage

Abstract

The paper considers a hemispherical resonator gyroscope. It describes the structure of a hemispherical resonator gyroscope as a measuring and computing system, as well as the problems and main factors involved in increasing its accuracy. We studied a measuring component utilising alternating voltage, its circuit layout and mathematical model. We stated the problem of synthesising a computational component taking into account possible computational resource limitations in the device in the form of a system of nonlinear algebraic equations. We considered the specifics and implementation requirements concerning the computational algorithm, as well as the specifics of utilising redundant information about the wave pattern state in the gyroscope. The equation system proposed is overdetermined. We analysed the issues peculiar to the iterative method of solving this nonlinear system, which we propose to use as the basis for the mathematical model of the computational component. The method described may be generalised as the Gauss --- Newton method. The paper provides alternative iterative methods for designing the computational component. We investigated convergence issues for the computational component model obtained via the Gauss --- Newton method. The paper presents computational component simulation results and concludes that using the computational component model obtained is possible and feasible