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

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Appendix I / Utilities / Point Mass Kinematics _ _ A A XB a, p YB a, p : = : = V& V& XB a, b YB a, b + ω + ω YB A, B ZB A, B ⋅ V ⋅ V ZB a, b XB a, b − ω − ω ZB A, B XB A, B 22.5-4 ⋅ V ⋅ V YB a, b ZB a, b + P + P B b, p B b, p ⎛ ⎜ − ⎜ ⎜ ⊗ ⎜ ω ⎜ ⎜ ⎝ ω& ⎛ ω& ⎜ ⎜ ⎜ ⊗ ⎜ − ⎜ ⎜ ⎝ ω ⎛ ω ⎜ ⎜ ZB ZB XB YB YB XB B ⎜ Aa, p : = V& a, b + ωA, B ⋅ Va, b − ωA, B ⋅ Va , b + Pb, p ⊗ ⎜ ω& ⎜ ⎜ ⎝ − YB 2 ZB ( ω ) − ( ω ) A, B XB A, B YB A, B ZB A, B ⋅ ω + ω YB A, B XB A, B A, B − ω& ⋅ ω ZB A, B ZB A, B 2 ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ Equation 22.5-19 + ω XB 2 ZB ( ω ) − ( ω ) A, B YB A, B XB A, B XB A, B ⋅ ω XB A, B ZB A, B ⋅ ω A, B − ω& YB A, B XB A, B 2 ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ Equation 22.5-20 ⋅ ω + ω − ω& ⋅ ω ( ) ( ) ⎟ ⎟⎟⎟⎟⎟⎟ XB 2 YB 2 ω − ω A, B If point (p) is lies on X B , as is common in missile kinematics, XB A : = V& a, p YB a, p XB a, b YB a, b + ω YB A, B ZB A, B ⋅ V ZB a, b XB a, b − ω ZB A, B XB A, B ⋅ V YB a, b ZB a, b − P XB b, p ⋅ XB b, p ZB A, B YB A, B YB A, B ZB A, B A, B ⎞ ⎠ Equation 22.5-21 YB 2 ZB 2 ( ω ) + ( ) ⎟ ⎞ A, B A, B ⎠ ⎜ ⎛ ω ⎝ Equation 22.5-22 ZB XB YB ( ω + ω ⋅ ) A : = V& + ω ⋅ V − ω ⋅ V + P ⋅ & ω ZB a, p ZB a, b XB A, B YB a, b YB A, B XB a, b XB b, p A, B A, B A, B Equation 22.5-23 YB XB ZB ( ω − ω ⋅ ) A : = V& + ω ⋅ V − ω ⋅ V − P ⋅ & ω 22.5.5 Euler to Angular Rates A, B A, B A, B Equation 22.5-24 DE_TO_W takes a YPR Euler triplet defining the orientation and angular rate of frame (B) with respect to frame (A), and its time rate of change, and returns the angular rate vector.
Appendix I / Utilities / Point Mass Kinematics _ _ DE_TO_W ω B A, B : = If the roll angle is zero, ω B A, B B B B W B B ( E& , E , ω ) ≡ ϕ ( E& , E ) ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ Ψ& Ψ& A B A B A 22.5.6 Angular to Euler (YPR) Rates A ⋅ sin Φ ⋅ cosΦ 22.5-5 Φ& B A B A B A A, B − Ψ& B A ⋅ cosΘ ⋅ cosΘ ⋅ sin Θ B A B A + Θ& DE B A − Θ& B A B A A ⋅ cosΦ ⋅ sin Φ A Equation 22.5-25 B A B A ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ( ) T B B B B B − Ψ& ⋅ sin Θ , Θ& , Ψ& ⋅ cos : = Θ A A A A Equation 22.5-26 A Equation 22.5-27 W_TO_DE takes the angular rate of frame (B) with respect to frame (A), and Euler triplet representing the orientation between the two, and returns the Euler rate of frame (B) with respect to frame (A). W_TO_DE E& B A : = ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ If the roll angle is zero, B A B B B DE B B ( ω , E , E& ) ≡ ϕ ( ω , E ) A, B A YB B ZB B ( ω ⋅ sin Φ + ω ⋅ cosΦ ) A, B ω YB A, B ω XB A, B A A ⋅ cosΦ + Ψ& B A B A − ω A, B ZB A, B W ⋅ sin Θ B A ⋅ sin Φ A A, B B A ⋅ secΘ A Equation 22.5-28 B A ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ZB B YB ZB B ( ω ⋅ tan Θ , ω , ω ⋅ sec ) E& : = Θ A, B 22.5.7 Euler to Angular Accelerations A A, B A, B T Equation 22.5-29 A Equation 22.5-30 D2E_TO_DW takes an Euler triplet representing the orientation of frame (B) with respect to frame (A), and its Euler rate and acceleration, and returns the angular acceleration.
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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.,
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Bibliography _ _ G.34 GUTMAN P., VE
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Bibliography _ _ H.35 HUSSAIN A.M.,
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Bibliography _ _ K.14 KATZIR S., CL
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Bibliography _ _ L.19 LEFAS C.C,
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Bibliography _ _ M.16 MAYNE D.Q., P
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Bibliography _ _ P.1 PAINTER J.H.,
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Bibliography _ _ R.32 RONG LI X., Z
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Bibliography _ _ S.47 SPEYER J.L.,
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Bibliography _ _ V.5 VIAN J.L., MOO
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Bibliography _ _ W.29 WATSON G.A.,
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Appendix A / Geometric Points _ _ 1
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Appendix A / Geometric Points _ _ 1
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Appendix B / Frames of Reference _
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Appendix C / Axis Transforms _ _ 16
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Appendix C / Axis Transforms _ _ YP
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Appendix C / Axis Transforms _ _ B
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Appendix C / Axis Transforms _ _ YB
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Appendix C / Axis Transforms _ _ Us
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Appendix C / Axis Transforms _ _ No
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Appendix C / Axis Transforms _ _ B
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Appendix C / Axis Transforms _ _
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Appendix D / Point Mass Dynamics _
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Appendix E / Earth Geometry _ _ 18-
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Appendix E / Earth Geometry _ _ ELL
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Appendix E / Earth Geometry _ _ (dx
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Appendix E / Earth Geometry _ _ Int
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Appendix E / Earth Geometry _ _ 18.
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Appendix E / Earth Geometry _ _ 19-
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Appendix E / Earth Geometry _ _ P S
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Appendix E / Earth Geometry _ _ 19.
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Appendix E / Earth Geometry _ _ ∂
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Appendix G / Gravity _ _ 20-2
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Appendix G / Gravity _ _ g : = g +
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Appendix G / Gravity _ _ d −6 2
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Appendix G / Gravity _ _ 20-8
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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 / Trigonomet
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Appendix I / Utilities / Vectors _
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Appendix I / Utilities / Covariance
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