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

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5<br />

Chapter 5 / Missile State Observer<br />

_ _<br />

Chapter 5<br />

MISSILE STATE OBSERVER<br />

Centralised, distributed and hybrid architectures, and the advantages and<br />

disadvantages of track and measurement fusion, are discussed. For airdefence<br />

a hybrid system is the natural choice since by necessity the ground<br />

radar is a distributed node of the full state observer. §4 and §5 together<br />

provide the full state observation algorithm. §4 deals with ground tracking,<br />

and §5 continues with the up-link to the centralised state observation in the<br />

missile. Here the up-linked IMM target track and missile plots are fused<br />

with missile sensor measurements.<br />

The sensor measurement characteristics taken from §3, and the up-link<br />

interface are described. The missile filter is a conventional EKF whose state<br />

space, state partitioning, and launcher initialisation, are defined. The<br />

process model is made as simple as possible so that it can be updated using<br />

high frequency IMU measurements for seeker steering and airframe<br />

stabilisation.<br />

The fusion of correlated target tracks uses only the added information<br />

between IMM up-links. Innovations and linearised measurement matrices<br />

are defined for serially processing the remaining sensor data. Latency and<br />

sensor moment arms are not considered at this stage. Moment arms are<br />

essentially deterministic if one ignores error cross-coupling. Similarly,<br />

known time delays can be handled using time stamped data and backward<br />

state propagation when forming measurement innovations.<br />

Pseudo-measurements are used to constrain the process model. This<br />

approach provides flexibility linked to manoeuvre detection using IMM<br />

mode probabilities and multi-rate scheduling that is important in practical<br />

implementations. Quaternion normalisation, missile dynamics (assuming a<br />

full set of normalised aerodynamic derivatives), circular and goal-orientated<br />

PN target trajectories are introduced in this fashion.<br />

Conventional EKFs, although flexible and simple to implement compared<br />

with many other filters, can become ill-conditioned if the measurements are<br />

non-Gaussian. Integrity features commonly used to de-sensitise an EKF<br />

whose tenants have been violated are explored and performance metrics<br />

introduced for use in §9.<br />

5-1

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