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

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Glossary<br />

_ _<br />

TG_P_MET [metres]<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

10 12 14 16 18 20 22 24 26 28 30<br />

TIME [seconds]<br />

Figure 9-41 : Acceleration Filter Position Error (PIP)<br />

The tuned acceleration filter was used to track the target “U” turn designed<br />

for Singer model tuning. The position error shown in Figure 9-41 indicates<br />

that whilst the filter does not track the manoeuvre, the errors approaching<br />

the actual acceleration of the target, it remains stable.<br />

9.5.2 Velocity Filter Tuning<br />

The velocity filter was used to track a constant speed crossing target using<br />

system noise levels of (0.2, 1, 3, 10) m 2 /s 4 /Hz. The CN is shown in Figure<br />

9-42, and the position and velocity errors in Figure 9-43. A noise level of<br />

1 m 2 /s 4 /Hz was selected, a compromise between minimising the steady state<br />

error and observability.<br />

F1_E_MET [sigma]<br />

120<br />

110<br />

100<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10 12 14 16 18 20 22 24 26 28 30<br />

TIME [seconds]<br />

9-24<br />

T3_IMQV10.MTB<br />

T3_IMQV03.MTB<br />

T3_IMQV01.MTB<br />

T3_IMQV0Q.MTB<br />

Figure 9-42 : Velocity Filter Conditioning Number<br />

Figure 9-44 shows the position and velocity errors when the noise is set to<br />

1 m 2 /s 4 /Hz compared with filter expectations. There is a concern that the

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