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

Chapter 2 / Target Modelling
_ _
then subjected to filtering followed by transformation back to the Alignment
frame thereby preserving the Target model interfaces in TG_DYNAMICS.
These idealised target motions start after 10 s of constant velocity flight, and
end after 30 s; Missile launch is suspended when IMM filter tuning.
2.4.1 Constant Velocity
Target Model 1 is activated with the Alignment frame acceleration set to
zero. The target trajectory is a flypast at a constant velocity of - 400 m/s
parallel to X A starting from the same initial state as Target Trajectory 2.
2.4.2 Constant Acceleration
This trajectory starts the same as that for the constant velocity case. After
10 s the following acceleration profile is invoked:
2.4.3 Lagged Motion
A
[ 0 , 10 ] ∪ ] 24 , 30 ] ⇒ & P&
t : 0 3
t ∈
=
A
] 10 , 17 ] ⇒ & P&
: = ϕ ( 10 , 10 , 10)
t
2-13
D1L
Equation 2.4-1
T
( , t )
t ∈
−
A
] 17 , 24 ] ⇒ P&
& : = ϕ ( −10
, 10 , 10)
t ∈
−
t
D1L
ta
Equation 2.4-2
T
( , t )
ta
Equation 2.4-3
Again the target starts as for the constant velocity case. After 10 s the target
performs a 50 g “U” turn retreating at high speed. The demanded
accelerations in this case are,
A
[ 0 , 10 ] ∪ ] 24 , 30 ] ⇒ P&
&
t : 0 3
t ∈
=
A
] 10 , 17 ] ⇒ & P&
: = ϕ ( 50 , 50 , 50)
t
D1L
Equation 2.4-4
T
( , t )
t ∈
−
A
] 17 , 24 ] ⇒ P&
& : = ϕ ( 50 , 50 , 50)
t ∈
−
t
D1L
ta
Equation 2.4-5
T
( , t )
ta
Equation 2.4-6