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

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Appendix C / Axis Transforms _ _ ∂ P& ZB o, m B A ∂ Q : = ⎛ ⎛ q2 ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ q ⎜ 3 ⎜ ⎜ 2 ⋅ ⎜ ⎜ ⎜ ⎜ ⎜ q0 ⎜ ⎜ ⎜ ⎜ ⎝ ⎝ q1 16-18 , , , , − q − q q q 3 2 1 0 , , , , q q 0 1 − q − q 2 3 ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⋅ P& A o, m ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ T Equation 16.16-15 The missile incidence is the absolute angle between X B and X MV axes, ξ MV B ⎛ XB 1 P& ⎞ − o, m 1 : cos ⎜ ⎟ − = ≡ tan B β ⎜ P& ⎟ ⎝ o, m ⎠ MV MV ( cos α ⋅ tan ) B Equation 16.16-16 The variation in incidence with velocity and Alignment frame orientation, ∂ ξ ∂ ξ ∂ P& ∂ Q MV B B A MV B A o, m : = : = P& P& XB o, m 2 o, m ⋅ P& − A o, m 2 − P& XB ( P& ) o, m 2 o, m P& 2 ⋅ 2 o, m B B B ( T ( 1 ) , T ( 4 ) , T ( 7 ) ) ⋅ A P& 2 o, m ⎛ ⎜ ⎜ ⎜ ⎜ ⋅ ⎜ ⎜ ⎜ 2 ⋅ q ⎜ ⎜ ⎝ 2 ⋅ q 16.17 Alignment to Seeker LOS Transformation − 2 3 A ( ) 2 XB P& q q 2 3 ⋅ P& ⋅ P& o, m ⋅ P& ⋅ P& XA o, m XA o, m ZA o, m ZA o, m − q − q A T Equation 16.16-17 − q − q 1 0 2 ⋅ P& 3 ⋅ P& ⋅ P& ⋅ P& YA o, m YA o, m YA o, m YA o, m + q 0 − q 1 ⋅ P& ⋅ P& ZA o, m ZA o, m ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ Equation 16.16-18 The Euler triplet defining the orientation of the Seeker LOS frame with respect to the Missile Body frame, E S A : = ⎛ ⎜ ⎜ ⎝ π , − tan −1 ⎛ P ⎜ ⎝ P ZA m, t hA m, t ⎞ ⎟ ⎠ , tan −1 ⎛ P ⎜ ⎝ P YA m, t XA m, t ⎞ ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ ⎠ Equation 16.17-1
Appendix C / Axis Transforms _ _ A m, t 16-19 A t P : = P − P A m Equation 16.17-2 The transform from the Alignment to Seeker LOS frame (TRATOS) is obtained by substituting these Euler angles into Equation 16.1-4 and expanding the trigonometric functions with respect to this position vector as is done in Equation 16.13-3. 16.18 Missile Body to Seeker Head Transformation When the Seeker Head frame is rotates with respect to Missile Body axes using an inner pitch and an outer roll gimbal, ignoring missile body flexure, E H B : = H H ( Φ , Θ , 0 ) B B Equation 16.18-1 The transform from Seeker Head to Missile Body frame (TRBTOH) is obtained by substituting these Euler angles into Equation 16.1-4, T H B : = ⎡ cosΘ ⎢ ⎢ ⎢ 0 ⎢ ⎢ ⎢ ⎣ sin Θ H B H B , , , sin Φ H B − sin Φ cosΦ H B ⋅ sin Θ H B H B ⋅ cosΘ H B , , , − cosΦ cosΦ sin Φ H B H B ⋅ sin Θ H B ⋅ cosΘ H B H B ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ Equation 16.18-2 For seekers with inner pitch and outer yaw gimbals the orientation of the Seeker Head frame with respect to the Missile Body frame, H B H H ( 0 , Θ , ) E : = Ψ B B Equation 16.18-3 The transformation matrix from the Seeker Head to Missile Body frame, T H B : = ⎡ H cosΘ B ⋅ cos Ψ ⎢ ⎢ ⎢ H − sin ΨB ⎢ ⎢ ⎢ H ⎣ sin ΘB ⋅ cos Ψ H B H B , , , cosΘ sin Θ H B cos Ψ H B ⋅ sin Ψ H S ⋅ sin Ψ H B H B , , , − sin Θ 0 cosΘ H B H B ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ Equation 16.18-4
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CRANFIELD UNIVERSITY LEIGH MOODY SE
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ABSTRACT When considering advances
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Contents _ _ LIST OF CONTENTS 1 INT
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Contents _ _ 8.2 The Scope of Moder
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Contents _ _ 17.4 Inertial Velocity
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Tables _ _ LIST OF TABLES Table 1-1
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Figures _ _ LIST OF FIGURES Figure
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Figures _ _ Figure 5-1 : Centralise
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Figures _ _ Figure 19-3 : Air Densi
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Acronyms _ _ Acronyms And Abbreviat
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Acronyms _ _ HDOP - NAVSTAR GPS Hor
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Acronyms _ _ RCS - Radar Cross Sect
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Glossary _ _ GLOSSARY A challenge w
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Glossary _ _ 0.1 Predicate Calculus
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Glossary _ _ ]A,B] Real number rang
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Glossary _ _ 0.9 Matrix Operators [
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Glossary _ _ 0.14.2 Special Vectors
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Glossary _ _ P C a , b ≡ XC YC ZC
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Glossary _ _ V ≡ V : = V • V Th
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Glossary _ _ 0.16.4 Matrix Partitio
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Glossary _ _ Only the subset of qua
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Glossary _ _ 0.19 Systeme Internati
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1 Chapter 1 / Introduction _ _ Chap
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Chapter 1 / Introduction _ _ Wherea
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Chapter 1 / Introduction _ _ • Cr
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Chapter 1 / Introduction _ _ genera
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Chapter 1 / Introduction _ _ radar
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Chapter 1 / Introduction _ _ simple
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Chapter 1 / Introduction _ _ optimi
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Chapter 1 / Introduction _ _ 1.3.9
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2 Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ 2.
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Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ t
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Chapter 2 / Target Modelling _ _ P&
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Chapter 2 / Target Modelling _ _ GO
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Chapter 2 / Target Modelling _ _ th
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Chapter 2 / Target Modelling _ _
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Chapter 2 / Target Modelling _ _ VX
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Chapter 2 / Target Modelling _ _ ma
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3 Chapter 3 / Sensors _ _ Chapter 3
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Chapter 3 / Sensors _ _ 3.1 Simulat
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Chapter 3 / Sensors _ _ Table 3-4 :
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Chapter 3 / Sensors _ _ Reference D
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Chapter 3 / Sensors _ _ 3.2-9 s s i
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Chapter 3 / Sensors _ _ 3.2-11 t o
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Chapter 3 / Sensors _ _ Figure 3-5
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Chapter 3 / Sensors _ _ Table 3-7 :
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Chapter 3 / Sensors _ _ IF ϕ LIM
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Chapter 3 / Sensors _ _ The phase e
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Chapter 3 / Sensors _ _ Taking expe
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Chapter 3 / Sensors _ _ Expressing
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Chapter 3 / Sensors _ _ INPUT; AA,
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Chapter 3 / Sensors _ _ The functio
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Chapter 3 / Inertial Navigation _ _
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Chapter 3 / Sensors / Gyroscopes _
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Chapter 3 / Sensors / Accelerometer
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Chapter 3 / Sensors / Barometric Al
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Chapter 3 / Sensors / Barometric Al
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Chapter 3 / Sensors / Radar Altimet
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Chapter 3 / Sensors / Radar _ _ 3.8
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Chapter 3 / Sensors / Radar _ _ LF
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Chapter 3 / Sensors / Radar _ _ ( )
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Chapter 3 / Sensors / Radar _ _ S :
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Chapter 3 / Sensors / Radar _ _ SN
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Chapter 3 / Sensors / Radar _ _ 2
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Chapter 3 / Sensors / Radar _ _ ⎛
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Chapter 3 / Sensors / Seeker _ _ 3.
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Chapter 3 / Sensors / Seeker _ _ 5
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Chapter 3 / Sensors / Seeker _ _
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Chapter 3 / Sensors / Seeker _ _ th
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Chapter 3 / Sensors / Seeker _ _ Th
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Chapter 3 / Sensors / Seeker _ _ Th
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Chapter 3 / Sensors / Fins _ _ 3.10
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Chapter 3 / Sensors / Fins _ _ thro
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Chapter 3 / Sensors / NAVSTAR GPS _
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Chapter 3 / Sensors / Helmet Mounte
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Chapter 3 / Sensors / Helmet Mounte
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Chapter 3 / Sensors / Air Data Syst
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Chapter 4 / Target Tracking _ _ 3.1
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Chapter 4 / Target Tracking _ _ Ine
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Chapter 4 / Target Tracking _ _ ran
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Chapter 5 / Missile State Observer
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5 Chapter 5 / Missile State Observe
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6 Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ 6.
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Chapter 6 / Missile Guidance _ _ As
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Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ CD
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Chapter 6 / Missile Guidance _ _ ge
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Chapter 6 / Missile Guidance _ _ ex
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Chapter 6 / Missile Guidance _ _ &
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Chapter 6 / Missile Guidance _ _ PN
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Chapter 6 / Missile Guidance _ _ ra
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Chapter 6 / Missile Guidance _ _ of
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Chapter 6 / Missile Guidance _ _ NO
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Chapter 6 / Missile Guidance _ _ tr
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Chapter 6 / Missile Guidance _ _ η
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Chapter 6 / Missile Guidance _ _ Au
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Chapter 6 / Missile Guidance _ _ Fo
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Chapter 6 / Missile Guidance _ _ (
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Chapter 6 / Missile Guidance _ _
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Chapter 6 / Missile Guidance _ _ ar
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7 Chapter 7 / Missile Trajectory Op
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Chapter 7 / Missile Trajectory Opti
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8 Chapter 8 / Simulation _ _ Chapte
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Chapter 8 / Simulation _ _ 8.1 The
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Chapter 8 / Simulation _ _ 8.3 The
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Chapter 8 / Simulation _ _ Having p
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Chapter 8 / Simulation _ _ 8.5.1 Gl
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Chapter 8 / Simulation _ _ (1) CONS
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Chapter 8 / Simulation _ _ 8.6.2 Ou
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Chapter 8 / Simulation _ _ The file
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Chapter 8 / Simulation _ _ • The
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Chapter 8 / Simulation _ _ comprehe
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Chapter 8 / Simulation _ _ WIN_RATE
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Chapter 8 / Simulation _ _ for this
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Chapter 8 / Simulation _ _ with the
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Chapter 8 / Simulation _ _ Figure 8
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Chapter 8 / Simulation _ _ Table 8-
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Chapter 8 / Simulation _ _ 8.8 Disc
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9 Chapter 9 / Performance _ _ Chapt
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Chapter 9 / Performance _ _ 9.1 Air
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Chapter 9 / Performance _ _ XM ( >
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Chapter 9 / Performance _ _ 9.3 PN
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Chapter 9 / Performance _ _ The eff
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Chapter 9 / Performance _ _ VXMVOM
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Chapter 9 / Performance _ _ VXMVOM
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Chapter 9 / Performance _ _ 9.4 CLO
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Chapter 9 / Performance _ _ AR_BOM
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Chapter 9 / Performance Chapter 9 /
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Initially the position error falls
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values of CN are not always a relia
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crude initialisation introduces err
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9.5.3 Singer Filter Tuning The Sing
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9.6.2 CLOS Study The CLOS study sho
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Chapter 10 / Conclusions _ _ 10-2
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Chapter 10 / Conclusions _ _ 10.3 T
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Chapter 10 / Conclusions _ _ 10.7 M
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Chapter 11 / Future Research _ _ 11
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Chapter 11 / Future Research _ _
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Chapter 11 / Future Research _ _ To
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References _ _ B.4 BAZARAA M.S., SH
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References _ _ F.1 FOX J.E., “A C
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References _ _ H.5 #HULL D.G., RADK
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References _ _ L.2 LOOZE D.P., HSU
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References _ _ N.4 NABAA N., BISHOP
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References _ _ R.3 RUSNACK I., “O
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References _ _ S.15 SINGER R.A.,
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References _ _ Y.2 YUAN P., CHERN J
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Bibliography _ _ B.13 BABA Y., YAMA
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Bibliography _ _ B.40 BECKER J.C.,
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Bibliography _ _ C.33 CORTINA E., O
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Bibliography _ _ E.8 ERSHOV A.A.,
Page 460 and 461: Bibliography _ _ G.34 GUTMAN P., VE
Page 462 and 463: Bibliography _ _ H.35 HUSSAIN A.M.,
Page 464 and 465: Bibliography _ _ K.14 KATZIR S., CL
Page 466 and 467: Bibliography _ _ L.19 LEFAS C.C,
Page 468 and 469: Bibliography _ _ M.16 MAYNE D.Q., P
Page 470 and 471: Bibliography _ _ P.1 PAINTER J.H.,
Page 472 and 473: Bibliography _ _ R.32 RONG LI X., Z
Page 474 and 475: Bibliography _ _ S.47 SPEYER J.L.,
Page 476 and 477: Bibliography _ _ V.5 VIAN J.L., MOO
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Page 480 and 481: Appendix A / Geometric Points _ _ 1
Page 482 and 483: Appendix A / Geometric Points _ _ 1
Page 484 and 485: Appendix B / Frames of Reference _
Page 494 and 495: Appendix C / Axis Transforms _ _ 16
Page 496 and 497: Appendix C / Axis Transforms _ _ YP
Page 498 and 499: Appendix C / Axis Transforms _ _ B
Page 500 and 501: Appendix C / Axis Transforms _ _ YB
Page 504 and 505: Appendix C / Axis Transforms _ _ Us
Page 506 and 507: Appendix C / Axis Transforms _ _ No
Page 508 and 509: Appendix C / Axis Transforms _ _ B
Page 514 and 515: Appendix D / Point Mass Dynamics _
Page 526 and 527: Appendix E / Earth Geometry _ _ 18-
Page 528 and 529: Appendix E / Earth Geometry _ _ ELL
Page 530 and 531: Appendix E / Earth Geometry _ _ (dx
Page 532 and 533: Appendix E / Earth Geometry _ _ Int
Page 534 and 535: Appendix E / Earth Geometry _ _ 18.
Page 536 and 537: Appendix E / Earth Geometry _ _ 19-
Page 538 and 539: Appendix E / Earth Geometry _ _ P S
Page 540 and 541: Appendix E / Earth Geometry _ _ 19.
Page 542 and 543: Appendix E / Earth Geometry _ _ ∂
Page 544 and 545: Appendix G / Gravity _ _ 20-2
Page 546 and 547: Appendix G / Gravity _ _ g : = g +
Page 548 and 549: Appendix G / Gravity _ _ d −6 2
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Page 552 and 553: Appendix H / Steady State Tracking
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Appendix H / Steady State Tracking
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Appendix I / Utilities _ _ 22.1-2
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Appendix I / Utilities _ _ Cartesia
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Appendix I / Utilities _ _ Matrix P
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Appendix I / Utilities _ _ 22.1-8
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Appendix I / Utilities / General Ut
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Appendix I / Utilities / WGS 84 Tar
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Appendix I / Utilities / Axis Trans
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Appendix I / Utilities / Point Mass
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Appendix I / Utilities / Earth, Atm
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Appendix I / Utilities / Earth, Atm
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Appendix I / Utilities / Digital Ma
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Appendix I / Utilities / Digital Fi
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Appendix I / Utilities / Matrices _
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Appendix I / Utilities / Quaternion
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Appendix I / Utilities / Trigonomet
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Appendix I / Utilities / Vectors _
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Appendix I / Utilities / Covariance
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