Explicit Frequency-Shaped Coning Algorithms For Pseudoconing Environments

Abstract

Explicit Frequency Shaping is a numerical coning algorithm design process based on least-squares minimization of algorithm error over an expected coning environment frequency range. In its original published form, the Explicit method was formulated based on error-free gyro data. This paper extends the Explicit concept to include compensation of coninglike dynamic errors (pseudoconing) present on the algorithm inputs. Examples are provided for cases where pseudoconing is an analytically definable function of gyro dynamic response and when it is an ill-defined high-frequency presence that may potentially exist on gyro outputs. Numerical results are presented comparing the new Extended Explicit technique with previous Explicit and Taylor frequency-series expansion-based coning algorithm design approaches.