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

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Chapter 2 / Target Modelling<br />

_ _<br />

THT_AT [degrees]<br />

-10<br />

-15<br />

-20<br />

-25<br />

-30<br />

-35<br />

-40<br />

0 10 20 30<br />

TIME [seconds]<br />

40 50 60<br />

2-18<br />

TGT_003.mtb<br />

TGT_007.mtb<br />

Figure 2-7 : Target Bearing<br />

Accelerations provided by the user are treated as demands to be filtered so<br />

as to obtain the reference target-state, thereby preventing unrealistic jumps<br />

caused by changes in the elemental model characterisation. Eight elemental<br />

motions are provided: stationary, independent accelerations in the<br />

Alignment and Target Velocity frames, sinusoidal or “square” weaves,<br />

accelerating PN track onto the Alignment axis origin with, or without,<br />

superimposed weaves.<br />

Square wave demanded acceleration profiles are important for assessing<br />

performance against weaving targets as they represent the infinite spectral<br />

case that is more representative of target motion than are sinusoidal weaves.<br />

Idealised trajectories are provided for tuning the IMM. Weave and dog-leg<br />

manoeuvres are provided for performance assessment as these are<br />

notoriously difficult to track using fixed-gain and single filter formulations.<br />

Three enhancements are proposed to the current target simulator:<br />

• The initial phase of the weave models should be randomised as this can<br />

significantly effect the miss distance attainable by low bandwidth guidance<br />

laws.<br />

• Target goal-orientated trajectories are currently constrained to the position<br />

of the missile launcher. The facility would be greatly enhanced by<br />

providing the target’s tracking point with PVA dynamics, starting from an<br />

initial state defined in the Alignment frame.<br />

• The last enhancement concerns intelligent targets. Given adequate<br />

information a target could optimise its escape envelope on the basis of a 2player<br />

pursuit-evasion game, Shinar [S.5&8] . Differential game theory<br />

provides the direction the target must turn, and the time at which to stop the<br />

turn, and fly in a direction maximising the probability of reaching a<br />

perceived no-escape boundary. The target manoeuvre causes the missile to<br />

turn and in doing so reduce speed as a tail-chase develops. Future targets

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