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

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6<br />

Chapter 6 / Missile Guidance<br />

_ _<br />

Chapter 6<br />

MISSILE GUIDANCE<br />

Although the focus of this research is on real-time trajectory optimisation,<br />

optimal guidance is rooted in the historical development of conventional PN<br />

and CLOS laws. There are good reasons for considering these, not the least<br />

being:<br />

• Missile dynamic model verification is easier using a conventional guidance<br />

law as the resulting missile trajectory characteristics are well established.<br />

• Guidance laws derived analytically using simple PI provide a baseline<br />

against which real-time optimisation algorithms can be verified. If viable<br />

on-line optimisation must provide a basic performance that is better than<br />

these simple, but robust, alternatives.<br />

• Target tracking limitations, and performance improvement based on<br />

manoeuvre detection linked to IMM mode probability are more easily<br />

demonstrated and understood using simpler guidance laws.<br />

The missile simulator with embedded trajectory optimiser is introduced.<br />

The dynamics of a short-range, agile missile and launcher are developed,<br />

dynamics generated by 2 nd order STT and BTT autopilots with speed<br />

dependent acceleration limits for low speed stability.<br />

A historical review is provided of PN laws and the introduction of optimally<br />

derived laws including essential practical constraints for target capture.<br />

Missile and target acceleration augmented PN laws are derived and the<br />

critical part time-to-go plays in optimal guidance, and observer constraints<br />

imposed by inertial stabilisation seekers emphasised.<br />

The basics of CLOS guidance are established and extended to include<br />

biasing associated with phased array beam forming. The accuracy required<br />

for IMM weave frequency estimation is quantified using linear analysis and<br />

steady-state weave tuned filters.<br />

The importance of manoeuvre detection in conventional guidance laws is<br />

discussed and its links to the IMM modal probability associated with the<br />

constant velocity target-tracking filter introduced in §4.<br />

6-1

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