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

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Chapter 9 / Performance<br />

_ _<br />

VXMVOM [m/sec]<br />

1300<br />

1250<br />

1200<br />

1150<br />

1100<br />

1050<br />

1000<br />

950<br />

900<br />

850<br />

863 m/s. Increasing the guidance bandwidth so that the missile can respond<br />

rapidly to target manoeuvres is detrimental in the non-manoeuvring case.<br />

Clearly the choice of gain is dependent on manoeuvring levels and hence the<br />

up-linked IMM filter probabilities.<br />

PN performance and gain selection against weaving targets is fundamentally<br />

different. Target compensation induced LOS rates as guidance tries to<br />

establish the a non-existent constant velocity geometry, were so severe the<br />

compensation was switched off until the missile achieved Mach 2 at<br />

(launch + 2 s). Baseline performance with a gain of 4 and no acceleration<br />

compensation (PN10 - blue) is compared with (PN11 - green) no target<br />

compensation, and (PN14 - red) delayed target compensation in Figure 9-17<br />

to Figure 9-20. There is little difference in the performance without target<br />

acceleration. Target compensation against weaving targets is clearly<br />

detrimental with excessive LOS rate oscillations throughout the flight.<br />

Care is required when quoting miss distance and impact speed against<br />

weaving targets. The weave phase, and to a lesser extent the target lateral<br />

acceleration, must be treated as stochastic variables in a Monte Carlo<br />

analysis for definitive results. This deficiency was highlighted in the<br />

discussion on targets in §2. The results here are sufficient to demonstrate<br />

the fundamental difference in approach between constant velocity and<br />

weaving targets. The performance using different gains PN12 (gain := 2:<br />

green), PN14 (gain := 4: blue) and PN16 (gains := 6: red) is compared in<br />

Figure 9-21 to Figure 9-24. The trends are similar to previous results with<br />

the higher bandwidth inducing larger oscillations at the expense of a 50 m/s<br />

reduction in impact speed. These results show the importance of weave<br />

detection, as distinct from lateral manoeuvre detection. Ideally the target<br />

acceleration compensation must be removed and the gain reduced as the<br />

target weaves. Low bandwidth is preferable against weaving targets so as to<br />

track the underlying trajectory until close to impact. Close to the target the<br />

bandwidth must be increased to remove the heading error dependent on the<br />

phase of the target relative to its fundamental trajectory.<br />

T3_TPN000.MTB<br />

T3_TPN001.MTB<br />

T3_TPN002.MTB<br />

800<br />

32 33 34 35 36 37 38 39<br />

TIME [seconds]<br />

A_BMV [degrees]<br />

9-11<br />

20<br />

18<br />

16<br />

14<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

T3_TPN000.MTB<br />

T3_TPN001.MTB<br />

T3_TPN002.MTB<br />

0<br />

30 31 32 33 34 35 36 37 38 39<br />

TIME [seconds]

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