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Thesis - Leigh Moody.pdf - Bad Request - Cranfield University

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Chapter 3 / Sensors / Gyroscopes<br />

_ _<br />

1<br />

GUI<br />

W_BCB<br />

WX_UCB<br />

WY_UCB<br />

FLOAT ANGLE<br />

WZ_UCB<br />

GYROSCOPE<br />

INPUT<br />

3.4-3<br />

ROLL GYROSCOPE<br />

I_WX_BCB<br />

WX_UCB<br />

WY_UCB<br />

YAW GYROSCOPE<br />

I_WZ_BCB<br />

WZ_UCB<br />

I_WX_INC<br />

ROLL ANGLE<br />

PITCH GYROSCOPE<br />

I_WY_BCB<br />

I_WY_INC<br />

PITCH ANGLE<br />

I_WZ_INC<br />

YAW ANGLE<br />

Figure 3-24 : Gyroscope Triad Model<br />

The generic gyroscope model here is adequate for both IMU-1 and IMU-2<br />

in §3.3.1. The reference data will be described in terms of IMU-1 although<br />

IMU-2 reference inputs can be treated likewise.<br />

3.4.3 Reference Angular Rate<br />

The average inertial angular rate is processed at the reference rate (GSfR) of<br />

800 Hz. The angular rate about each input axis depends on the alignment<br />

and orthogonality of the case with respect to the missile body, and each<br />

sensor relative to the case as shown Figure 3-25.<br />

W_BCB<br />

1<br />

CASE<br />

MISALIGNMENT<br />

NON<br />

ORTHOGONALITY<br />

FLOAT ANGLE<br />

2<br />

CROSS<br />

COUPLING<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

WX_UCB<br />

1<br />

WY_UCB<br />

2<br />

WZ_UCB<br />

Figure 3-25 : Gyroscope Input Models<br />

Mechanical instruments are also subject to cross-coupling errors that depend<br />

on the float angle. These additional error sources are invoked by setting<br />

MS_GS_ER bits 11-13 listed in Table 3-8. To deal with these errors<br />

additional Cartesian axes associated with the IMU case, and each sensor<br />

therein, are required. Frame “D” is fixed in the IMU and originates at a<br />

common reference point (u), and describes the orientation of the case with<br />

respect to the Missile Body frame. An orthogonal “sensor” frame is<br />

attached to each gyroscope referred to as “R”, “P” and “Y” respectively,<br />

their individual reference points coinciding with (u). The manufacturing<br />

3

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