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

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Glossary _ _ 0.12 Kinematic Types A Reference value of parameter (A) A ~ Measured value of parameter (A) Â Filtered value of parameter (A) A ( Optimised value of parameter (A) A Mean value of parameter (A) Kinematic types may be omitted when it is clear that all the data involved is of the same type. Strict typing is only required when the different types interact, as for example, in the computation of system errors. 0.13 Time Rate of Change A & First derivative with respect to time (if (A) is position, then velocity) A & Second derivative with respect to time (if (A) is position, then acceleration) A & Third derivative with respect to time (if (A) is position, then jerk) 0.14 General Vector Notation 0.14.1 Vector Components A general n-dimensional vector behaves as an (n,1) matrix (n-rows,1column), however, it is denoted by an underline and its components are numbered (1,2,…n), V ≡ xxxiv ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ V V M V ( 1 ) ( 2 ) ⎞ ( ) ⎟⎟⎟⎟⎟⎟ n A superscript “T” is used to indicate vector transposition thereby maintaining a clear distinction between row and column vectors. By definition, all general n-vectors denoted by an underlined kernel letter, here (V), are column vectors. A row vector is denoted explicitly using the superscript “T”, for example V T , which behaves as an (1,n) matrix. ⎠
Glossary _ _ 0.14.2 Special Vectors Zero and unity vectors are written as follows (in this example, for a 4vector), 0 ≡ 4 1 ≡ 4 ( ) T 0 , 0 , 0 , 0 ( ) T 1 , 1 , 1 , 1 The subscript defining the vector dimension may be omitted if it is obvious from context. 0.14.3 Vector Partitioning Row vector partitioning uses the following pro-forma, ( ( V ) M ( V ) ( V ) ) V : = M Column vector partitioning uses the following pro-forma, V X xxxv : = ⎛ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ V V Y X L VY L Note that the subscripts (X,Y,Z) in these equations do not refer to Cartesian components. Vector partitioning is not required when dealing with the components of a vector. 0.14.4 Vector Jacobians The column vector representing the partial derivative of a vector (Y) with (m) elements with respect to a scalar (x) is, ∂ Y ∂ x : = ⎛ ∂ y1 ⎜ ⎝ ∂ x , Z L ⎞ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ , ∂ y ∂ x The row vector representing the partial derivative of a scalar (y) with respect to a vector (X) with (n) elements is, ∂ y ∂ X : = ⎛ ∂ y ⎜ ⎝ ∂ x1 , L , m ∂ y ∂ x n ⎞ ⎟ ⎠ Z T ⎞ ⎟ ⎠
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: Glossary _ _ 0.9 Matrix Operators [
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 and 46: Glossary _ _ Only the subset of qua
Page 47 and 48: Glossary _ _ 0.19 Systeme Internati
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Page 51 and 52: Chapter 1 / Introduction _ _ Wherea
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Page 55 and 56: Chapter 1 / Introduction _ _ genera
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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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 _ _ 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 / 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 / Matrices _
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Appendix I / Utilities / Quaternion
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