Attitude estimation method and device for multiplicative error quaternion based geomagnetic tensor field assisted gyroscope
A technology of attitude estimation and tensor field, which is applied in the direction of measuring device, ground navigation, and navigation through velocity/acceleration measurement, etc., which can solve the problem of large amount of calculation, the quaternion no longer meets the standardization requirements, and the calculation of quaternion covariance Singularity and other issues
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[0091] The present invention will be further described below in conjunction with accompanying drawing:
[0092] Step 1: Initialization of the Kalman filter.
[0093] k=0, the initial attitude angle is given according to the initial attitude angle error, and the initial value of the quaternion is calculated from this The initial value of the given gyro scale factor Initial value of gyro constant bias And system initial state variance matrix P k|k .
[0094] Step 2: Estimation of the gyro scale factor according to time k and an estimate of the gyro constant bias and the measured output of a three-axis strapdown gyro with calculate
[0095] The measurement model of the three-axis strapdown gyroscope is
[0096]
[0097] in, with are the measurement outputs of the x, y and z axes of the three-axis strapdown gyroscope, K gx 、K gy and K gz are the scale factors of the gyroscope x, y and z axes respectively, with are the x-, y- and z-axis components of...
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