Missile guidance and pursuit: kinematics, dynamics and control

Title......Page 1
Author......Page 2
Title page......Page 3
Copyright page......Page 4
Preface......Page 5
Contents......Page 7
Introduction......Page 13
1.1.1 Definitions......Page 17
1.2.1 Definitions......Page 19
1.2.2 Examples......Page 20
1.3.1 Basic Definitions and Notations......Page 22
1.3.2 Kinematics of Planar Motion......Page 23
1.4 References......Page 24
2.1 Background and Definitions......Page 27
2.2 A Little History......Page 28
2.3.1 Analysis of the Planar Case......Page 30
2.3.2 Examples for the Planar Case......Page 32
2.3.3 Remarks Concerning Practical Applications......Page 39
2.3.4 Kinematics in 3-D Vector Terms......Page 41
2.3.5 Kinematics of Modified LOS Guidance......Page 45
2.4 Guidance Laws......Page 47
2.4.1 Time-Domain Approach......Page 49
2.4.2 Classical-Control Approach......Page 52
2.4.3 Optimal-Control Approach......Page 54
2.5.1 CLOS vs. Beam-Riding Guidance......Page 55
2.5.2 On Tracking and Seekers......Page 57
2.5.3 Mechanization in Practice......Page 59
2.6 References......Page 60
3.1 Background and Definitions......Page 63
3.2 Some of the Long History......Page 64
3.3.1 The Planar Case, Nonmaneuvering T......Page 65
3.3.2 The Planar Case, Maneuvering T......Page 73
3.3.3 Other Interesting Planar Pursuits......Page 74
3.3.4 Deviated Pure Pursuit......Page 75
3.3.5 Examples......Page 83
3.4 Guidance Laws for Pure Pursuit......Page 85
3.4.1 Velocity Pursuit vs. Attitude Pursuit......Page 86
3.4.2 A Simple Velocity-Pursuit Guidance Law......Page 87
3.4.3 A Simple Attitude-Pursuit Guidance Law......Page 89
3.6 References......Page 90
4.1 Background and Definitions......Page 93
4.2.1 Nonmaneuvering Target......Page 94
4.2.2 Maneuvering Target......Page 98
4.2.3 Variable Speed......Page 102
4.3.2 Three properties......Page 103
4.3.3 Examples......Page 104
4.4.1 Proportional Navigation......Page 108
4.4.2 A Non-Feedback Law......Page 109
4.5.1 Constant Aspect Navigation......Page 111
4.5.2 Constant Projected Line......Page 112
4.6 References......Page 115
5.1 Background and Definitions......Page 117
5.2 A Little History......Page 119
5.3.2 Stationary Target, Any $N$......Page 120
5.3.3 $N=2$, Nonstationary, Nonmaneuvering Target......Page 121
5.4 Kinematics of PN, Approximative Approach......Page 122
5.4.1 True PN (TPN)......Page 123
5.4.3 Pure PN (PPN)......Page 125
5.4.4 Some Results......Page 128
5.5 Kinematics of PN, Exact Approach......Page 129
5.5.1 TPN......Page 130
5.5.2 PPN......Page 132
5.5.3 TPN vs. PPN......Page 133
5.6.1 Definitions and Some Properties......Page 134
5.6.2 An Example......Page 135
5.7 Other Laws that Implement Parallel Navigation......Page 137
5.7.1 Ideal PN......Page 138
5.7.3 Schoen\'s Laws......Page 139
5.8 References......Page 140
6.2 On the Structure of PN Systems......Page 145
6.3 The Effects of Dynamics......Page 147
6.3.1 Single-Lag Dynamics......Page 148
6.3.2 Two-Lag Dynamics......Page 150
6.3.4 The Stability Problem......Page 151
6.4 Effects of Nonlinearities in the Guidance Loop......Page 156
6.4.1 Variable Missile Speed......Page 157
6.4.2 Saturation of Lateral Acceleration......Page 160
6.4.3 Saturations at the Seeker......Page 161
6.4.4 Radome Refraction Error......Page 165
6.4.5 Imperfect Stabilization of the Seeker......Page 171
6.5.1 Angular Noise......Page 172
6.5.3 Target Maneuver......Page 174
6.5.4 Conclusions......Page 175
6.6 References......Page 176
7.1 Background......Page 181
7.2.1 Augmented PN (APN)......Page 182
7.2.2 The Guidance-to-Collision Law......Page 184
7.3.1 Biased PN (BPN)......Page 186
7.3.2 Dead-Space PN......Page 187
7.5 Guided Weapons with Strapdown Seekers......Page 188
7.5.1 An Integral Form of PN......Page 189
7.5.2 Dynamic Lead Guidance (DLG)......Page 190
7.6.1 Mixed Guidance: PP and Parallel Navigation (or PN)......Page 191
7.6.2 Mixed Guidance: LOS Guidance and Other Laws......Page 192
7.6.3 Combining Midcourse Guidance and PN......Page 193
7.7 References......Page 194
8.1 Background......Page 197
8.2 Methodology......Page 198
8.3.1 Guidance and Optimal Control......Page 199
8.3.2 OCG Laws for a Maneuvering Target......Page 201
8.3.3 Laws for Systems with 1st Order Dynamics......Page 203
8.3.4 Laws for Systems with 2nd Order Dynamics......Page 205
8.3.5 Laws for Systems with High-Order Dynamics......Page 207
8.3.6 A Short Summary......Page 208
8.4.1 Definitions, and Statement of the Problem......Page 210
8.4.2 The LQ Problem......Page 211
8.4.3 On the Solution to the LQ Problem......Page 212
8.4.4 Two Examples......Page 213
8.5.1 Background......Page 216
8.5.2 The LQG Problem......Page 217
8.6 On the Mechanization of OCG Laws......Page 218
8.6.1 Control Acceleration......Page 219
8.6.2 Control Dynamics......Page 220
8.6.4 Estimating the Time-to-Go......Page 221
8.6.5 Estimating the System State......Page 222
8.7.1 OCG and Proportional Navigation......Page 224
8.7.2 OCG and Other Modern Laws......Page 225
8.8 References......Page 227
A.1 General......Page 233
A.2 A Rotating FOC......Page 235
A.3 Coplanar Vectors......Page 236
A.4 Examples......Page 237
B Angular Transformations......Page 241
C.1 Skid-to-turn (STT) Configuration......Page 245
C.3 On Angle of Attack and Sideslip......Page 247
C.4 Note......Page 249
D.1 The Graphs of the $Kh$ Plane, Sec. 2.3.2......Page 251
D.3 Proofs for (3.8) and (3.9)......Page 253
D.4 On the $t_f$-Isochrones of Sec. 3.3.1(c)......Page 254
D.5 Definition of DPP (Sec. 3.3.4) in Vector Terms......Page 255
D.7 A Proof for Inequality (4.13)......Page 256
D.8 Derivation of (4.15) of Sec. 4.2.2(a)......Page 257
D.9 Derivation of (4.34) and (4.35)......Page 258
D.10 Vector Representation for Sec. 5.4.1......Page 259
D.12 APN Law in Vector Terms......Page 260
D.14 References......Page 261
List of Symbols and Abbreviations......Page 263
Index......Page 267
Cover......Page 276