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

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Chapter 3 / Sensors / Seeker<br />

_ _<br />

3.9.3 State Observer Gimbal Demand Processing<br />

The detector is initially locked with its boresight along the longitudinal axis<br />

of the missile. After launch the seeker is provided with LF gimbal demands<br />

at the seeker output interface rate (SKfO) of 400 Hz (clock 9), from one of the<br />

following sources depending on the value of SK_SK_DS:<br />

• 1 Zero with respect to the missile boresight for strap-down applications<br />

• 2 Reference target position with respect to the Missile Body frame<br />

• 3 Seeker measurements<br />

• 4 Missile state observer<br />

If the gimbal demands are set to zero they are treated as RF phased array<br />

beam pointing commands with respect to the locked-down detector. When<br />

the gimbals are free the RF beam is formed along the detector boresight.<br />

For convenience, the Euler angles and angular rates associated with the<br />

gimbals are collected together,<br />

SK<br />

G<br />

( ) ( ) T<br />

H H T<br />

H H<br />

Ψ , Θ ; Z&<br />

≡ Ψ&<br />

, &<br />

Z ≡<br />

Θ<br />

B<br />

B<br />

3.9-5<br />

SK<br />

G<br />

B<br />

B<br />

Equation 3.9-1<br />

If LF gimbal demands are used directly in high bandwidth sensors the<br />

seeker head jitter for IR staring arrays is unacceptable. This causes the<br />

returning energy to be smeared across the detector pixels during a stare time<br />

lasting several milliseconds reducing the acquisition range. To prevent this,<br />

LF demands are processed at 400 Hz using First-Order-Hold (FOH) filters,<br />

D<br />

400<br />

( 4 )<br />

( 1 )<br />

T<br />

⎞<br />

S ( T ( 7 ) ) ⎟ + N ( 0 , )<br />

⎛<br />

S<br />

1 TB<br />

1<br />

ZG : ⎜ − ⎛ ⎞<br />

−<br />

= tan ⎜ ⎟ , − sin<br />

S<br />

B<br />

SKσ<br />

⎜ ⎜ T ⎟<br />

⎟<br />

⎝ ⎝ B ⎠<br />

⎠<br />

S<br />

B<br />

S<br />

A<br />

T : = T ⋅<br />

[ ] T B<br />

T<br />

A<br />

GA<br />

Equation 3.9-2<br />

Equation 3.9-3<br />

(σGA) represents the physical misalignment of the seeker with respect to the<br />

Missile Body frame. This error is constant and is selected from a zero-mean<br />

Gaussian error with a deviation of 1 mrad. The Euler rate demands are<br />

obtained from the missile body referenced target LOS rate,<br />

D<br />

400<br />

G<br />

YS ZS S<br />

( ω , ω ⋅ sec )<br />

Z& : =<br />

Θ<br />

B,<br />

S<br />

B,<br />

S<br />

B<br />

Equation 3.9-4

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