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

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Appendix C / Axis Transforms _ _ B o, m o, m P& : = T ⋅ P& B o, m 16-16 B MV MV o, m Equation 16.16-3 ( ) T MV MV MV MV MV cΘ ⋅ cΨ , cΘ ⋅ sΨ , − s P : = P ⋅ Θ & & B The exact relationship between the two sets of angles being, ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ α β γ MV B MV B MV B ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ : = ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ B − tan − tan When the missile incidence is small, −1 −1 B MV MV ( tan Θ ⋅ sec Ψ ) Ψ B MV B ( ) ⎟⎟⎟⎟⎟⎟ MV MV cot Θ ⋅ sin Ψ B B B B B Equation 16.16-4 ⎞ ⎠ Equation 16.16-5 MV MV MV MV MV MV MV ( α , β , γ ) : = ( − Θ , Ψ , − Ψ Θ ) B B B In terms of the velocity along the Missile Body axes, ⎛ ⎜ ⎜ ⎝ tan −1 ⎛ P& ⎜ ⎝ P& MV MV MV ( α , β , γ ) ZB o, m XB o, m ⎞ ⎟ ⎠ B , tan B −1 B ⎛ P& ⎜ ⎝ P& YB o, m XB o, m ⎞ ⎟ ⎠ B , B : = tan −1 ⎛ P& ⎜ ⎝ P& B B Equation 16.16-6 YB o, m ZB o, m ⎞ ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ ⎠ Equation 16.16-7 The incidence variation with respect to missile velocity and the orientation of the Missile Body frame with respect to the Alignment frame, MV ∂ ΘB − : = A o, m ∂ P& o, m MV ∂ ΘB − : = B o, m ∂ Q A ⎛ ⎜ ⎝ & ∂ P& ( ) ⎟ ⎟ XB ZB vB 2 ⎜ ZB ∂ Po, m XB ∂ Po, m P& ⋅ P& ⋅ − P& ⋅ o, m & ∂ P& A o, m o, m A o, m ( ) ⎟ ⎛ XB ZB ∂ ⎞ vB 2 ∂ ⋅ ⎜ ZB Po, m XB Po, m P& P& ⋅ − P& ⋅ ⎜ ⎝ o, m & ∂ Q B A o, m ⎞ ⎠ Equation 16.16-8 & ∂ Q B A ⎠ Equation 16.16-9
Appendix C / Axis Transforms _ _ MV ∂ ΨB − : = A o, m ∂ P& o, m MV ∂ ΘB − : = B o, m ∂ Q A ⎛ ⎜ ⎝ ( ) ⎟ ⎟ YB XB hB 2 ⎜ XB ∂ Po, m ZB ∂ Po, m P& ⋅ P& ⋅ − P& ⋅ 16-17 o, m & ∂ P& A o, m o, m & ∂ P& A o, m ( ) ⎟ ⎛ YB XB ∂ ⎞ hB 2 ∂ ⋅ ⎜ XB Po, m ZB Po, m P& P& ⋅ − P& ⋅ ⎜ ⎝ o, m & ∂ Q B A o, m ⎞ ⎠ Equation 16.16-10 & ∂ Q B A ⎠ Equation 16.16-11 The variation in velocity in Missile Body axes with respect to velocity in the Alignment frame, ∂ P & ∂ P& : = B o, m A o, m T B A Equation 16.16-12 The variation in velocity in Missile Body axes with respect to the Alignment frame orientation, ∂ P& XB o, m B A ∂ Q ∂ P& YB o, m B A ∂ Q : = : = ⎛ ⎛ q0 ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ q ⎜ 1 ⎜ ⎜ 2 ⋅ ⎜ ⎜ ⎜ ⎜ ⎜ − q ⎜ ⎜ ⎜ ⎜ ⎝ ⎝ − q 2 3 ⎛ ⎛ − q ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ q ⎜ 2 ⎜ ⎜ 2 ⋅ ⎜ ⎜ ⎜ ⎜ ⎜ q1 ⎜ ⎜ ⎜ ⎜ ⎝ ⎝ − q 3 0 , , , , , , , , q q q q 3 2 1 0 q q 0 − q 2 − q 1 3 , , , , , , , , − q q q 3 − q 1 q q q q 2 0 1 0 3 2 ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⋅ P& ⋅ P& A o, m ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ T Equation 16.16-13 A o, m ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ T Equation 16.16-14
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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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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
Page 478 and 479: Bibliography _ _ W.29 WATSON G.A.,
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
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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
Page 550 and 551: Appendix G / Gravity _ _ 20-8
Page 552 and 553: Appendix H / Steady State Tracking
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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 / 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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