Preface |
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vii | |
Introduction |
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1 | (6) |
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7 | (10) |
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7 | (2) |
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9 | (1) |
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Vector Cross Products and Skew Symmetric Matrix Algebra |
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10 | (7) |
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Coordinate Transformation between Orthonormal Frames |
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17 | (18) |
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17 | (1) |
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Direction Cosine Matrices |
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18 | (2) |
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The Direction Cosine Matrix is a Unitary Matrix |
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20 | (1) |
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The Direction Cosine Matrix is a Transformation Matrix |
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21 | (3) |
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24 | (2) |
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26 | (3) |
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Inner and Outer Transformation Matrices |
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29 | (3) |
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32 | (3) |
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Forms of the Transformation Matrix |
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35 | (23) |
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35 | (1) |
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36 | (1) |
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37 | (1) |
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38 | (1) |
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39 | (4) |
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43 | (2) |
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45 | (2) |
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Conversion between DCM and Euler |
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45 | (1) |
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Conversion between DCM and Quaternion |
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45 | (2) |
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Conversion between Euler Angles and Quaternion |
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47 | (1) |
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Dynamics of the Transformation Matrix |
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47 | (11) |
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DCM Differential Equation |
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48 | (2) |
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Quaternion Differential Equation |
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50 | (2) |
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Rotation Vector Differential Equation |
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52 | (3) |
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Euler Angles Differential Equation |
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55 | (3) |
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58 | (17) |
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58 | (1) |
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Earth, Geoid and Ellipsoid |
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59 | (4) |
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63 | (2) |
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Earth, Inertial and Navigation Frames |
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65 | (2) |
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67 | (1) |
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67 | (3) |
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70 | (1) |
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Gravitational and Gravity Fields |
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70 | (5) |
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The Inertial Navigation System Equations |
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75 | (11) |
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75 | (1) |
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76 | (1) |
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77 | (1) |
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77 | (1) |
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78 | (1) |
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78 | (2) |
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80 | (3) |
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Navigation Equations Computational Flow Diagram |
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83 | (1) |
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The Navigation Equation in Earth Frame |
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84 | (2) |
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86 | (18) |
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86 | (1) |
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The Rotation Vector Differential Equation |
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87 | (5) |
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92 | (3) |
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The Craft Velocity Equation |
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95 | (4) |
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The Craft Position Equation |
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99 | (2) |
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101 | (3) |
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104 | (17) |
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104 | (1) |
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US Standard Atmosphere 1976 |
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105 | (2) |
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107 | (4) |
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Vertical Channel Parameter Estimation Using Inertial and Air Data |
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111 | (5) |
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116 | (1) |
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Altitude (Descend/Climb) Rate |
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117 | (1) |
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117 | (2) |
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Indicated Air Speed (IAS) |
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119 | (2) |
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121 | (15) |
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121 | (2) |
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The Wander Azimuth Navigation |
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123 | (3) |
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Prospective of the Wander Azimuth Approach |
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126 | (2) |
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Polar Circle Navigation Algorithm |
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128 | (4) |
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Alternative Polar Circle Navigation Frame |
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132 | (4) |
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136 | (16) |
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136 | (1) |
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137 | (7) |
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Alternative Algorithm for Cbn |
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144 | (5) |
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Estimation of the Accelerometer and Gyro Biases |
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149 | (1) |
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Effects of Biases on Estimate of Cbn |
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150 | (2) |
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Attitude and Heading Reference System |
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152 | (15) |
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152 | (1) |
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152 | (3) |
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155 | (4) |
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159 | (1) |
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160 | (3) |
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160 | (2) |
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162 | (1) |
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163 | (1) |
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Alternative Approach for Gyro Drift Compensation |
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163 | (2) |
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165 | (2) |
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Rate Gyro Threshold Selection |
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165 | (2) |
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GPS Aided Inertial System |
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167 | (27) |
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167 | (1) |
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Navigation Frame Error Equation |
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168 | (12) |
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169 | (1) |
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170 | (1) |
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171 | (2) |
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173 | (3) |
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176 | (1) |
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177 | (2) |
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Navigation Frame Error State Equation |
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179 | (1) |
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179 | (1) |
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Earth Frame Error Equations |
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180 | (3) |
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181 | (1) |
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182 | (1) |
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183 | (1) |
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Earth Frame Error State Equation |
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183 | (1) |
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Inertial Sensors Error Models |
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183 | (4) |
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The Global Positioning System |
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187 | (4) |
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Mechanization of the INS/GPS Equations |
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191 | (3) |
Appendix A. The Vector Dot and Cross Products |
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194 | (3) |
Appendix B. Introduction to Quaternion Algebra |
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197 | (5) |
Appendix C. Simulink® Models |
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202 | (4) |
Appendix D. Ellipse Geometry |
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206 | (7) |
Appendix E. Vector Dynamics |
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213 | (6) |
Appendix F. Derivation of Air Speed Equations |
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219 | (3) |
Appendix G. DCM Error Algebra |
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222 | (4) |
Appendix H. Kalman Filtering |
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226 | (11) |
Index |
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237 | |