A linear alignment method for large azimuth misalignment angles based on additive quaternions
A quaternion, broad-directional technology, applied in measurement devices, instruments, etc., can solve the problems of nonlinear filter model and unstable switching of the quaternion method, and achieve the advantages of avoiding nonlinear filtering, fast convergence, and avoiding system divergence. Effect
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[0040] Such as figure 1 Shown, the present invention is concretely realized as follows:
[0041] (1) Coarse alignment process
[0042] definition is the rotation quaternion from the carrier coordinate system b to the navigation coordinate system n (each element is denoted as q 0 ,q 1 ,q 2 ,q 3 ), To calculate the quaternion (each element is denoted as ), Indicates the calculated value of any variable x, and 'δx' represents the error of any variable x. Define the additive quaternion error (AQE) as the difference between the calculated quaternion and the real quaternion, denoted as:
[0043]
[0044] System state variables can be expressed as:
[0045] x=[δq 0 δq 1 δq 2 δq 3 δv e δv n δv u δL δλ δh] T (7)
[0046] Attitude error equation:
[0047]
[0048] in, is the projection of the theoretical measured value of the gyroscope on the carrier body, Indicates the true value of the angular velocity of the navigation frame.
[0049] In the f...
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