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

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Glossary _ _ 0.18 Filtering and Covariance Transformation The symbol (∆) is used to denote a generic propagation time interval that is defined locally in the form, ∆ ≡ k+ 1 xliv t − t When a specific reference to time is required rather than a cyclic index, k + 1 k X ≡ k X Φ ≡ Φ k k + k ( t ) k ( t , t ) ≡ Φ ( ∆ ) Predicted and updated parameters at a common time are denoted by (-) and (+), for example, − k + 1 k + 1 k + k 1 k + 1 T [ Φ ] Qk P : = Φ ⋅ P ⋅ + It is permissible to drop the inference to time “k” (but not “k+1”) in discrete equations since it is clear in context that current values should be used. For example, the previous equation becomes, P − k + 1 : = Φ ⋅ P + ⋅ Φ k T + Q The index notation referring to time may be replaced by (t) or (τ) when dealing with continuous time equivalents. Using matrix partitioning notation (e.g. partition XY), when transforming the uncertainty of a 3-vector state expressed as a (3x3) covariance matrix from Cartesian Frames (A) to (B), B XY B A A XY A B B A A XY P : = T ⋅ P ⋅ T ≡ T ⋅ P ⋅ [ ] T B T Combining this notation with a change of co-ordinate system in Frame (A) using the Jacobian notation, B C XY [ ] [ ] T B A C A R B A C TA ⋅ C ⋅ PXY ⋅ TA C P : = ⋅ A R Applying the allowable simplifications when dealing with Cartesian axes, B A A R B A T B A A A T A [ TA ⋅ C ] ⋅ PXY ⋅ [ TA ⋅ C ] ≡ TA ⋅ C ⋅ PXY ⋅ [ C ] ⋅ TB A R A R P B XY : = A R A A R A R
Glossary _ _ 0.19 Systeme Internationale D’Unites 0.19.1 Base Units PARAMETER UNITS SYMBOL 0.19.2 Supplementary Units 0.19.3 Derived Units Length metres m Mass kg kg Time seconds s Temperature degrees kelvin K PARAMETER UNITS SYMBOL Plane angle radians rad Solid angles Steradians sr PARAMETER UNITS SYMBOL Force Newton N Frequency Hertz Hz Power Watt W Pressure Pascal Pa Linear velocity, acceleration and jerk are specified in (m/s), (m/s 2 ) and (m/s 3 ). Angular velocity, acceleration and jerk are specified in (rad/s), (rad/s 2 ) and (rad/s 3 ). 0.20 Absolute and Relative Time Time is denoted by (t) which is usually referenced to a common standard such as NAVSTAR GPS, IRIG-B etc. The time when an object exists at point (p) is (tp). When geometric points and frames are not explicitly time referenced they exist at the current time (t). For example, the estimated target position at its predicted impact time with the missile, expressed in the current Missile Body frame is, B(t) B o, t(t ) P i o, t(ti ) ˆ P ˆ ≡ xlv
Page 1: CRANFIELD UNIVERSITY LEIGH MOODY SE
Page 5: ABSTRACT When considering advances
Page 9 and 10: Contents _ _ LIST OF CONTENTS 1 INT
Page 11 and 12: Contents _ _ 8.2 The Scope of Moder
Page 13 and 14: Contents _ _ 17.4 Inertial Velocity
Page 15 and 16: Tables _ _ LIST OF TABLES Table 1-1
Page 17 and 18: Figures _ _ LIST OF FIGURES Figure
Page 19 and 20: Figures _ _ Figure 5-1 : Centralise
Page 21 and 22: Figures _ _ Figure 19-3 : Air Densi
Page 23 and 24: Acronyms _ _ Acronyms And Abbreviat
Page 25 and 26: Acronyms _ _ HDOP - NAVSTAR GPS Hor
Page 27 and 28: Acronyms _ _ RCS - Radar Cross Sect
Page 29 and 30: Glossary _ _ GLOSSARY A challenge w
Page 31 and 32: Glossary _ _ 0.1 Predicate Calculus
Page 33 and 34: Glossary _ _ ]A,B] Real number rang
Page 35 and 36: Glossary _ _ 0.9 Matrix Operators [
Page 37 and 38: Glossary _ _ 0.14.2 Special Vectors
Page 39 and 40: Glossary _ _ P C a , b ≡ XC YC ZC
Page 41 and 42: Glossary _ _ V ≡ V : = V • V Th
Page 43 and 44: Glossary _ _ 0.16.4 Matrix Partitio
Page 45: Glossary _ _ Only the subset of qua
Page 49 and 50: 1 Chapter 1 / Introduction _ _ Chap
Page 51 and 52: Chapter 1 / Introduction _ _ Wherea
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Page 57 and 58: Chapter 1 / Introduction _ _ radar
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Page 63 and 64: Chapter 1 / Introduction _ _ 1.3.9
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Page 85 and 86: 3 Chapter 3 / Sensors _ _ Chapter 3
Page 87 and 88: Chapter 3 / Sensors _ _ 3.1 Simulat
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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 / WGS 84 Tar
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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 / Matrices _
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Appendix I / Utilities / Quaternion
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Appendix I / Utilities / Covariance
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