Calibration error analysis of inertially stabilized platforms using quaternions and octonions in rotation decomposition

Abstract

In the calibration process of the inertially stabilized platforms with a high-precision turntable and an autocollimator, significant calibration errors can result from the axis misalignments between the inertially stabilized platforms and the turntable. Based on the relationship between spatial rotations and quaternions or octonions, this article proposes a representation using octonions to realize the decomposition of the rotation axis in two perpendicular axes and subsequently derives the calibration error model. The test results demonstrated that the error is significantly improved after compensation. The azimuth variance is reduced from 0.1379(°) 2 to 0.0492(°) 2 , which offers a more accurate set of data for further compensation based on the error model of the platform itself.

Modeling, measurement, and calibration of three-axis integrated aerial camera pointing errors

“…Many scholars have established pointing error models for optoelectronic systems and calibrated such systems to improve pointing accuracy. In 2016, Tang et al [9] analyzed calibration errors caused by axis misalignments between a turntable and a stabilization platform. An autocollimator and a turntable were used to measure the pointing errors of the inertially stabilized platform.…”

Line-of-sight rate modeling and error analysis of inertial stabilized platforms by coordinate transformation

“…1,4 In the stabilization loop, they are utilized to keep the stability of the LOS, which is the displacement vector of the target with respect to the inertial space reference system; therefore, the carrier disturbance can be attenuated, and clear target images are obtained. 5,6 In the track loop, the LOS rate, as a key signal, reflects the target motion information relative to the missile in real time. It is filtered and output for use in guidance law implementation.…”

“…There are currently many approaches to establishing the error model of ISPs location pointing accuracy to guarantee LOS stability, such the Debye–Huckel equation, 9,10 quaternions, 5 coordinate transformation, 11,12 and multi-body kinematics theory. 13 These approaches form the main basis for acquiring clear target images.…”