Attitude and heading resolving method based on incomplete measurement vector
An incomplete and vector technology, applied in measuring devices, navigation through speed/acceleration measurement, surveying and navigation, etc., can solve the problems of increasing application costs, not being able to determine the only solution of attitude parameters, and not being suitable for long-term use, etc., to achieve The effect of improving usability
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Embodiment 1
[0084] In the reference coordinate system a r =[0,0,9.8] T , m r = [-3627,29344,44065] T , the accelerometer complete measurement vector a b =[-4.85,-1.72,8.35] T , the complete measurement vector m of the magnetic sensor b = [44236,20482,-21503] T . In the above quantities, the unit of acceleration vector is m / s 2 , the unit of the magnetic vector is Nant. From formula (1) to formula (10), the reference value of heading angle is 65.85 degrees, the reference value of pitch angle is 29.64 degrees, and the reference value of roll angle is -11.61 degrees.
[0085] remove m bz , making the geomagnetic measurement vector missing a component. The attitude calculation process is as follows:
[0086] (1)m bx 2 +m by 2 =2.3763×10 9 , ,therefore,
[0087] (2) From formula (18), we can get =-20968
[0088] (3)a bz =8.35, because |a bz |≥ T 1 , so construct an estimate of the geomagnetic survey vector [44236,20482,-20968] T
[0089] (4) From formula (1) to fo...
Embodiment 2
[0092] In the reference coordinate system a r =[0,0,9.8] T , m r = [-3627,29344,44065] T , Accelerometer complete measurement vector a b =[2.62,-9.43,0.12] T , the complete measurement vector m of the magnetic sensor b = [9408,48577,19600] T . In the above quantities, the unit of acceleration vector is m / s 2 , the unit of the magnetic vector is Nant. From formula (1) to formula (10), the reference value of heading angle is 54.47 degrees, the reference value of pitch angle is -15.53 degrees, and the reference value of roll angle is -89.27 degrees.
[0093] remove m bz Makes the geomagnetic survey vector missing a component. The attitude calculation process is as follows:
[0094] (1)m bx 2 +m by 2 =2.4482×10 9 , ,therefore,
[0095] (2) From formula (18), we can get =19176
[0096] (3) abz=0.12, because |abz|1 , so construct estimates of geomagnetic survey vectors [9408, 48577, 19176] T with [9408,48577,-19176] T
[0097] (4) From formula (1) to form...
Embodiment 3
[0100] In the reference coordinate system a r =[0,0,9.8] T , m r = [-3627,29344,44065] T , the accelerometer complete measurement vector a b =[9.40,-2.62,-1.00] T , the complete measurement vector m of the magnetic sensor b = [-34476,31212,25604] T . In the above quantities, the unit of acceleration vector is m / s 2 , the unit of the magnetic vector is Nant. From formula (1) to formula (10), the reference value of heading angle is 71.66 degrees, the reference value of pitch angle is -73.39 degrees, and the reference value of roll angle is -110.96 degrees.
[0101] remove m by with m bz , making the geomagnetic measurement vector missing two components. The attitude calculation process is as follows:
[0102] (1) From formula (21), it can be obtained that △=1.1446×10 9 , therefore, △> T 2
[0103] (2)a by 2 +a bz 2 =7.85, therefore, a by 2 +a bz 2 > T 3
[0104] (3) Take the absolute value of △
[0105] (4) From equations (19) and (20), we can get =...
PUM
| Property | Measurement | Unit |
|---|---|---|
| Pitch angle | aaaaa | aaaaa |
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