Abstract
Numerical-analytical models of the nonstationary thermal process and the associated with it measurement errors were designed and investigated for fiber-optic gyroscopes (FOG). The models were used for simulating output data of the measuring gyroscopic module (MGM) consisting of a FOG of the studied type at arbitrarily assigned operation temperature conditions. Numerical simulation of nonstationary thermal fields in the instruments at an arbitrarily varying ambient temperature was carried out. Taking into account the temperature values, magnitude of the instrumental measurement errors characteristic of the studied FOG type is predicted. Further, these errors are taken into account when simulating output of the MGM having characteristics similar to the characteristics of the real instrument. To confirm the thermal model veracity, comparison of the numerical modeling results with experimental data was made. Adequacy of the models of instrumental errors for the studied FOG type is ensured by the instrument pre-calibration. A procedure for calibrating models of MGM errors notable for the possibility of joint identification of all IEs using one redundant volume of measurements has been developed. Further evolvement of this procedure will enable refinement of configuration and layout of temperature sensors in the MGM in order to improve quality of the measurement error compensation in the subsequent operation of the instrument and improve the layout of the MGM electronic and structural components in terms of reducing influence of the perturbing thermal factors.
Highlights
Fiber-optic gyroscopes (FOG) have been widely used recently in the control and navigation of aerospace systems [1]
Basic recommendations for the practical application of the procedure can be stated without validation as follows: – FOG measurement averaging should be carried out in a time interval during which the measuring gyroscopic modules (MGM) makes one or more complete turns around the stand axis; – the procedure can be applied to an arbitrary number of FOGs with axes of sensitivity randomly positioned relative to the right orthogonal instrument coordinate system (RCS); – the approximation problem can be solved using a redundant data set
It is advisable to use a recursive least-squares method with a rising volume of measurements for assessment of the sought model parameters; – the measurement error estimates obtained during calibration can be used for simulation modeling of the MGM operation and to compensate for the measurement errors in the course of the block operation
Summary
Fiber-optic gyroscopes (FOG) have been widely used recently in the control and navigation of aerospace systems [1]. Information and controlling systems from –120 °C to +120 °C for an orbiting artificial earth satellite [2] Under these circumstances, the design of on-board gyro systems requires application of special measurement simulation models taking into account the effect of temperature on the data accuracy. The design of on-board gyro systems requires application of special measurement simulation models taking into account the effect of temperature on the data accuracy The matter of such model fidelity, both in terms of reproduction of thermal conditions and adequacy of the instrumental errors, is an open-ended question so far. Joint use of computational thermal-condition models and analytical instrumental-error models in which parametric setting is ensured by preliminary experimental studies is deemed to be promising Parameters of the latter can be determined in the process of calibration of concrete FOG samples. Relevance of the work in this area is confirmed by the following: firstly, great attention is given recently to the issues of calibration and improvement of inertial system accuracy [3,4,5]; secondly, the demand for the study results on the part of Ukrainian space-rocket industry
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