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

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Appendix I / Utilities / Covariance _ _ The following bits of MT_CV_EX must be set to obtain the uncertainty in the relative missile/target parameters listed: 1 Missile to target range E ( δ P ) 2 Missile to target range rate XS E ( δ P& t ) 3 Missile to target relative YP Euler angles S E ( δ E B ) 4 Missile to target relative YP Euler rates S E ( δ E& B ) 5 Target to Missile differential angle M E ( δξ T ) 6 Missile Body to Seeker angle S E ( δξ ) COV_STATS computes the (1σ,2σ,3σ) covariance statistics for each active parameter. COV _ STATS REF SO ( X , X , [ C ] , STATS , ID , IR ) 22.13-4 m, t B Equation 22.13-8 The difference between the reference vector (REFX) and the state observer estimate (SOX) is determined. These errors are provided together with the percentage of them that fall within (1σ,2σ,3σ) of the expected error derived from the observer covariance matrix [C], returned in 3-vector STATS. If the reset flag IR changes from 0 to 1 the statistics associated with parameter ID are re-initialised, starting again when the flag returns to 0. 22.13.2 Quaternion to Euler Angle Variance Transformation Missile orientation with respect to the earth is defined using quaternions. For interpretation purposes, quaternion covariances are converted into Euler angle uncertainties requiring the Euler Jacobians in CV_QTE_COV. ∂ Φ ∂ ⎛ ⎜ ⎜ ⋅ ⎜ ⎛ q ⎜ ⎜ q ⎜ ⎜ ⎝ ⎜ ⎝ q ⎞ ⎟ ⎟ ⎟ + ⎟ ⎠ ⎛ 0 ⎞ ⎞ ⎜ ⎟ ⎟ ⎜ q1 ⎟ ⎟ ⋅ ⎜ q ⎟ ⎟ ⎜ ⎟ ⎟ ⎜ ⎟ ⎟ ⎝ 0 ⎠ ⎠ B A B QA : = B 2 ⋅ TA ( 9 ) B 2 B 2 ( TA ( 8 ) ) + ( TA ( 9 ) ) ⎜ 1 0 q3 ⎜ 2 ⎟ 2 B TA ( 9 ) 2 Equation 22.13-9 [ ( ) ] ( ) T B 2 B B T 7 ⋅ ∂ Θ ∂ Q : = 2 ⋅ q , − q , q , q 1 − − A A A 2 3 0 Equation 22.13-10 1
Appendix I / Utilities / Covariance _ _ ∂ Ψ ∂ Q B A B A : = 22.13.3 Range Uncertainty B 2 ⋅ TA ( 1 ) B 2 B ( T ( 1 ) ) + T ( 4 ) A 2 B ( ) q ⎜ 1 T ( ) ⎜ ⎟ A 1 A 22.13-5 ⎛ ⎛ q ⎜ ⎜ ⎜ ⎜ q ⋅ ⎜ ⎜ ⎜ ⎜ ⎝ ⎝ q 3 2 0 ⎞ ⎟ ⎟ ⎟ + ⎟ ⎠ CV_PX_BAB returns the range uncertainty of point (b), E ⎛ ⎜ ⎝ ∂ P ∂ P ⎞ ⎟ ⎠ T 2 ⎛ 0 ⎞ ⎞ ⎜ ⎟ ⎟ ⎜ 0 ⎟ ⎟ ⋅ ⎜ q ⎟ ⎟ 2 ⎜ ⎟ ⎟ ⎜ ⎟ ⎟ ⎝ q3 ⎠ ⎠ Equation 22.13-11 ( ) ( ) ⎟ 2 ⎜ a, b ⎟ ⋅ ⎛ A A T = δ ⋅ δ ⎞ ⋅ ⎜ a, b P : E P P ⎛ ⎜ ⎝ ∂ P ∂ P δ a, b A ⎜ b b ⎟ A ⎝ ⎠ b b a, b a, b A b P ⋅ ∂ P ∂ P : = The target and missile range uncertainties, 22.13.4 Range Rate Uncertainty ( δ P ) : = CV_PX_BAB ( X , C , 9 ) E o, t SO TL SO TLL P A b Equation 22.13-12 Equation 22.13-13 Equation 22.13-14 ( δ P ) : = CV_PX_BAB ( X , C , 9 ) E o, m SO ML SO MLL CV_VX_BAB returns the range rate uncertainty of point (b), E Equation 22.13-15 ( ) ( ( ) ) ⎟ ⎛ XB T ⎞ ⎛ XB XB 2 ∂ P& ∂ ⎞ δ = ⎜ b T P& ⎟ ⋅ δ ⋅ δ ⋅ ⎜ b P& : E X X P a, b b ∂ P& ⋅ ∂ X XB b PV : = ⎜ ⎝ ⎛ ⎜ ⎜ ⎜ ⎝ ∂ X ⎛ ⎜ ⎜ ⎝ PV P& A b ⎟ ⎠ ⎛ ⎜ ⎛ P ⋅ ⎜ 1 − ⎜ P ⎝ ⎝ A b PV a, b ⎞ ⎟ ⎠ 2 ⎞ ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ ⎠ T PV , ⎜ ⎝ ∂ X PV Equation 22.13-16 ⎛ ⎜ P ⎜ ⎝ P A b a, b ⎞ ⎟ ⎠ T ⎞ ⎟ ⎟ ⎟ ⎠ ⎞ ⎠ T Equation 22.13-17 The target and missile range rate uncertainty with respect to the Alignment frame, ⎠
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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 _ _
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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 _ _ 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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