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

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Chapter 9 / Performance<br />

_ _<br />

TIME TO IMPACT ( seconds )<br />

MISS DISTANCE ( metres )<br />

1.8<br />

1.6<br />

1.4<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

2 2.5 3 3.5 4<br />

KINEMATIC GAIN<br />

4.5 5 5.5 6<br />

39.2<br />

39.15<br />

39.1<br />

39.05<br />

39<br />

38.95<br />

38.9<br />

38.85<br />

Figure 9-7 : Miss Distance vs PN Gain<br />

38.8<br />

2 2.5 3 3.5 4<br />

KINEMATIC GAIN<br />

4.5 5 5.5 6<br />

Figure 9-8 : Flight time vs PN Gain<br />

Cases PN01 (blue), PN02 (green) and PN07 (red) are compared in Figure<br />

9-9 to Figure 9-12. The traces terminate just before impact with respect to<br />

the shortest flight time. PN02 (no compensation) shows the typical LOS<br />

rate increase and lateral acceleration limiting when the missile is close to<br />

impact with a commensurate drop in impact speed. Performance is much<br />

the same until the target manoeuvres and target acceleration compensation<br />

improves the terminal flight profile maintaining the impact speed.<br />

The performance in cases PN03 (gain := 2 - green), PN07 (gain := 4 - blue)<br />

and PN09 (gain := 6 - red) are compared in Figure 9-13 to Figure 9-16.<br />

With the target is flying at constant velocity, reducing the rate at which the a<br />

collision course is established by dropping the gain to 2 reduces incidence<br />

and hence improves missile speed. However, if the target manoeuvres<br />

guidance is clearly inadequate and control saturation ensues. Increasing the<br />

gain to 6 rapidly establishes the impact geometry at the expense of speed<br />

and higher incidence eventually resulting in a reduced impact speed of<br />

9-10

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