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

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Glossary _ _ transformation of covariance matrices, we have [M C ]. Providing that matrices are clear in context the square bracket notation may be omitted. 0.16.2 Diagonalisation When converting a vector into a diagonal matrix (in this case for a position 3-vector), C XC YC ZC ( P ) diag ( P , P , P ) diag ≡ diag a, b C ( P ) a, b ≡ ⎡ P ⎢ ⎢ ⎢ 0 ⎢ ⎢ ⎢ ⎣ 0 xl XC a, b The trace of a square matrix of dimension (N) is the sum of its diagonal elements, 0.16.3 Special Matrices tr a, b , , , N ∑ i : = 1 P 0 YC a, b 0 a, b [ A ] : = a ( i , i ) NxN The identity matrix is written as (in this example, for a matrix of dimension N := 3), [ I ] I 3 ≡ 3 ≡ ⎡ 1 ⎢ ⎢ ⎢ 0 ⎢ ⎢ ⎢ ⎣ 0 , , , 0 1 0 , , , , , , P 0 0 ZC a, b 0 ⎤ ⎥ ⎥ 0 ⎥ ⎥ ⎥ 1 ⎥ ⎦ Zero matrices are written (in this case for a (2,3) matrix), ≡ [ 0 ] 0 2 x3 2x3 ≡ ⎡ 0 ⎢ ⎢ ⎢⎣ 0 , , 0 0 , , a, b 0 ⎤ ⎥ ⎥ 0 ⎥⎦ The dimensions may be omitted if they are obvious in context ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦
Glossary _ _ 0.16.4 Matrix Partitioning Components of a matrix [M] will be referred to as m(i,j). Matrix partitioning uses the following pro-forma: [ M ] ≡ ⎡ m ⎢ ⎢ L ⎢ m ⎢ ⎢ L ⎢ ⎣ m xli XX YX ZX The combined partition, component and frame notation being m ( i, j ) C . The XY upper triangular matrix [B], including the main diagonal terms, extracted from matrix [A] is, [ B ] : = U [ A ] ≡ ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ a M M M M M m m m XY L YY L ZY M M M M M m m m XZ L YZ L ZZ ⎤ ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ( 1, 1 ) , a ( 1, 2 ) , L , a ( 1, n ) 0 M 0 , , , a ( 2, 2 ) , L , a ( 2, n ) M L , , O 0 , , a M ⎤ ( ) ⎥⎥⎥⎥⎥⎥⎥⎥⎥ m, n The lower triangular matrix [C], excluding the main diagonal terms, extracted from matrix [A] is, [ C ] : = L [ A ] 0.16.5 Matrix Norms ≡ ⎡ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ a a ( 2, 1 ) The 2-norm of a matrix [M] is defined as, M L2 : = 0 M , , , 0 0 M , , , L L O ( ) ( ) ⎥ ⎥⎥⎥⎥⎥⎥⎥⎥ m, 1 , L , a m, n −1 , 0 MAX T ( [ M ] ⋅ [ M ] ) Where λMAX is the largest eigenvalue of [ ] [ M ] norm of a matrix [M(m,n)] is defined as, λ ( ) M T ⋅ . The Frobenius , , , 0 0 M ⎤ ⎦ ⎦
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: Glossary _ _ V ≡ V : = V • V Th
Page 45 and 46: Glossary _ _ Only the subset of qua
Page 47 and 48: Glossary _ _ 0.19 Systeme Internati
Page 49 and 50: 1 Chapter 1 / Introduction _ _ Chap
Page 51 and 52: Chapter 1 / Introduction _ _ Wherea
Page 53 and 54: Chapter 1 / Introduction _ _ • Cr
Page 55 and 56: Chapter 1 / Introduction _ _ genera
Page 57 and 58: Chapter 1 / Introduction _ _ radar
Page 59 and 60: Chapter 1 / Introduction _ _ simple
Page 61 and 62: Chapter 1 / Introduction _ _ optimi
Page 63 and 64: Chapter 1 / Introduction _ _ 1.3.9
Page 65 and 66: 2 Chapter 2 / Target Modelling _ _
Page 67 and 68: Chapter 2 / Target Modelling _ _ 2.
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Page 73 and 74: Chapter 2 / Target Modelling _ _ P&
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Page 81 and 82: Chapter 2 / Target Modelling _ _ VX
Page 83 and 84: Chapter 2 / Target Modelling _ _ ma
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 _ _ 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 / 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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