Log-linear Error State Model Derivation without Approximation for INS

نویسندگان

چکیده

Through assembling the navigation parameters as matrix Lie group state, corresponding inertial system (INS) kinematic model possesses a group-affine property. The logarithm of state estimation error satisfies log-linear autonomous differential equation. These models are still applicable even with arbitrarily large initial errors, which is very attractive for INS alignment. However, in existing works, all derived based on first-order linearization approximation, seemingly goes against their successful applications alignment misalignments. In this work, it shown that can also be without any dynamics both left and right invariant continuous time given $\mathrm{S}{\mathrm{E}}_2( 3 )$ first time. This work provides another evidence validity situations errors.

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ژورنال

عنوان ژورنال: IEEE Transactions on Aerospace and Electronic Systems

سال: 2022

ISSN: ['1557-9603', '0018-9251', '2371-9877']

DOI: https://doi.org/10.1109/taes.2022.3197726