Item Details

Print View

Applied Mathematics in Integrated Navigation Systems

Robert M. Rogers
Format
Book
Published
Reston, VA : American Institute of Aeronautics and Astronautics, c2000.
Language
English
Series
AIAA Education Series
ISBN
156347445X (cloth : alk. paper), 1563473946 (alk. paper)
Contents
  • Part 1 Elements of Integrated Navigation Systems
  • Chapter 2. Mathematical Preliminaries 7
  • 2.1 Vector/Matrix Algebra 7
  • 2.2 Vector/Matrix Calculus 13
  • 2.3 Linearization Techniques 16
  • 2.4 Direction Cosine Matrices 18
  • 2.5 Miscellaneous Mathematical Topics 27
  • Chapter 3. Coordinate Systems and Transformations 41
  • 3.1 Coordinate Systems 41
  • 3.2 Coordinate Frame Transformations 47
  • Chapter 4. Earth Models 59
  • 4.1 Ellipsoid Geometry 59
  • 4.2 Ellipsoid Gravity 66
  • Chapter 5. Terrestrial Navigation 71
  • 5.1 Strap-down Navigation Systems 71
  • 5.2 Local Level Navigation Frame Mechanization Equations 72
  • 5.3 Perturbation Form of Navigation System Error Equations 75
  • 5.4 Navigation System Attitude Error Equations: Psi Formulation 82
  • 5.5 Navigation System Error Equations Using Alternative Velocity Error 82
  • Chapter 6. Navigation Sensor Models 95
  • 6.1 Gyro Performance Characterizations 95
  • 6.2 Sensor Error Models 99
  • Chapter 7. Navigation Aids 111
  • 7.1 Doppler Velocity Sensors 111
  • 7.2 Tactical Air Navigation Range 115
  • 7.3 Global Positioning System Range 118
  • 7.4 Forward Looking Infrared Line-of-Sight Systems 126
  • Chapter 8. Kalman Filtering 133
  • 8.1 Recursive Weighted Least Squares: Constant Systems 134
  • 8.2 Recursive Weighted Least Squares: Dynamic Systems 138
  • 8.3 Discrete Linear Minimum Variance Estimator 141
  • 8.4 U-D Factored Form 144
  • 8.5 Summed Measurements 150
  • 8.6 Combined Estimate from Two Kalman Filters 152
  • Part 2 Applications
  • Chapter 9. Strap-Down Inertial Sensor Laboratory Calibration 163
  • 9.1 Navigation Mechanization Review 164
  • 9.2 Sensor Error Model 164
  • 9.3 Solutions for Sensor Errors 164
  • 9.4 Data Collection Rotation Sequences 165
  • 9.5 Observation Equations 167
  • 9.6 Processing Sequences 170
  • 9.7 Simulated Laboratory Data Calibration 170
  • Chapter 10. Flight Test Evaluations 179
  • 10.1 Optical Tracking Trajectory Reconstruction 180
  • 10.2 Tactical Air Navigation/Inertial Navigation Unit Reconstruction 185
  • 10.3 Vehicle Dynamics with Radar Tracking Trajectory Reconstruction 190
  • Chapter 11. Inertial Navigation System Ground Alignment 205
  • 11.1 Initial Coarse Alignment and Resulting Errors 205
  • 11.2 Fine Alignment Kalman Filter 208
  • 11.3 Simulated Ground Fine Alignment 210
  • Chapter 12. Integration via Kalman Filtering: Global Positioning System Receiver 219
  • 12.1 Global Positioning System Receiver Kalman Filter Configurations 220
  • 12.2 Inertial Navigation System Configuration Kalman Filter 220
  • 12.3 Simulated Global Positioning System Receiver Inertial Navigation System Kalman Filter Operation 227
  • Chapter 13. In-Motion Alignment 235
  • 13.1 Transfer Alignment 235
  • 13.2 Alignment Without Benefit of Attitude Initialization 245
  • Chapter 14. Integrated Differential Global Positioning System/Dead-Reckoning Navigation 257
  • 14.1 Dead-Reckoning Navigation Equations 258
  • 14.2 Dead-Reckoning System Error Model 259
  • 14.3 Differential Global Positioning System Position Observations 262
  • 14.4 Integrated Dead-Reckoning/Differential Global Positioning System Implementation 262
  • 14.5 Test Conditions 263
  • 14.6 Test Results 264
  • Appendix A. Pinson Error Model 273
  • Appendix B. Global Positioning System Position Velocity and Acceleration Filter Error Model 283
  • Appendix C. Coarse Alignment Error Equations 285
  • Appendix D. Fine Alignment Error Equations 291.
Description
xiv, 300 p. : ill. ; 24 cm.
Notes
Includes bibliographical references (p. 295-296) and index.
Technical Details
  • Access in Virgo Classic
  • Staff View

    LEADER 05069pam a22004214a 4500
    001 u3696830
    003 SIRSI
    005 20010209133618.0
    008 000620s2000 vaua b 001 0 eng
    010
      
      
    a| 00056591
    020
      
      
    a| 156347445X (cloth : alk. paper)
    020
      
      
    z| 1563473946 (alk. paper)
    035
      
      
    a| (Sirsi) i156347445X
    035
      
      
    a| (OCoLC)44468913
    040
      
      
    a| DLC c| DLC d| NhCcYBP d| MvI
    042
      
      
    a| pcc
    050
    0
    0
    a| TL695 b| .R64 2000
    082
    0
    0
    a| 629.132/51/0151 2| 21
    090
      
      
    a| SCIENG/TL695 b| .R64 2000
    100
    1
      
    a| Rogers, Robert M.
    245
    1
    0
    a| Applied mathematics in integrated navigation systems / c| Robert M. Rogers
    260
      
      
    a| Reston, VA : b| American Institute of Aeronautics and Astronautics, c| c2000.
    300
      
      
    a| xiv, 300 p. : b| ill. ; c| 24 cm.
    440
      
    0
    a| AIAA education series
    504
      
      
    a| Includes bibliographical references (p. 295-296) and index.
    505
    0
    0
    g| Part 1 t| Elements of Integrated Navigation Systems -- g| Chapter 2. t| Mathematical Preliminaries g| 7 -- g| 2.1 t| Vector/Matrix Algebra g| 7 -- g| 2.2 t| Vector/Matrix Calculus g| 13 -- g| 2.3 t| Linearization Techniques g| 16 -- g| 2.4 t| Direction Cosine Matrices g| 18 -- g| 2.5 t| Miscellaneous Mathematical Topics g| 27 -- g| Chapter 3. t| Coordinate Systems and Transformations g| 41 -- g| 3.1 t| Coordinate Systems g| 41 -- g| 3.2 t| Coordinate Frame Transformations g| 47 -- g| Chapter 4. t| Earth Models g| 59 -- g| 4.1 t| Ellipsoid Geometry g| 59 -- g| 4.2 t| Ellipsoid Gravity g| 66 -- g| Chapter 5. t| Terrestrial Navigation g| 71 -- g| 5.1 t| Strap-down Navigation Systems g| 71 -- g| 5.2 t| Local Level Navigation Frame Mechanization Equations g| 72 -- g| 5.3 t| Perturbation Form of Navigation System Error Equations g| 75 -- g| 5.4 t| Navigation System Attitude Error Equations: Psi Formulation g| 82 -- g| 5.5 t| Navigation System Error Equations Using Alternative Velocity Error g| 82 -- g| Chapter 6. t| Navigation Sensor Models g| 95 -- g| 6.1 t| Gyro Performance Characterizations g| 95 -- g| 6.2 t| Sensor Error Models g| 99 -- g| Chapter 7. t| Navigation Aids g| 111 -- g| 7.1 t| Doppler Velocity Sensors g| 111 -- g| 7.2 t| Tactical Air Navigation Range g| 115 -- g| 7.3 t| Global Positioning System Range g| 118 -- g| 7.4 t| Forward Looking Infrared Line-of-Sight Systems g| 126 -- g| Chapter 8. t| Kalman Filtering g| 133 -- g| 8.1 t| Recursive Weighted Least Squares: Constant Systems g| 134 -- g| 8.2 t| Recursive Weighted Least Squares: Dynamic Systems g| 138 -- g| 8.3 t| Discrete Linear Minimum Variance Estimator g| 141 -- g| 8.4 t| U-D Factored Form g| 144 -- g| 8.5 t| Summed Measurements g| 150 -- g| 8.6 t| Combined Estimate from Two Kalman Filters g| 152 -- g| Part 2 t| Applications -- g| Chapter 9. t| Strap-Down Inertial Sensor Laboratory Calibration g| 163 -- g| 9.1 t| Navigation Mechanization Review g| 164 -- g| 9.2 t| Sensor Error Model g| 164 -- g| 9.3 t| Solutions for Sensor Errors g| 164 -- g| 9.4 t| Data Collection Rotation Sequences g| 165 -- g| 9.5 t| Observation Equations g| 167 -- g| 9.6 t| Processing Sequences g| 170 -- g| 9.7 t| Simulated Laboratory Data Calibration g| 170 -- g| Chapter 10. t| Flight Test Evaluations g| 179 -- g| 10.1 t| Optical Tracking Trajectory Reconstruction g| 180 -- g| 10.2 t| Tactical Air Navigation/Inertial Navigation Unit Reconstruction g| 185 -- g| 10.3 t| Vehicle Dynamics with Radar Tracking Trajectory Reconstruction g| 190 -- g| Chapter 11. t| Inertial Navigation System Ground Alignment g| 205 -- g| 11.1 t| Initial Coarse Alignment and Resulting Errors g| 205 -- g| 11.2 t| Fine Alignment Kalman Filter g| 208 -- g| 11.3 t| Simulated Ground Fine Alignment g| 210 -- g| Chapter 12. t| Integration via Kalman Filtering: Global Positioning System Receiver g| 219 -- g| 12.1 t| Global Positioning System Receiver Kalman Filter Configurations g| 220 -- g| 12.2 t| Inertial Navigation System Configuration Kalman Filter g| 220 -- g| 12.3 t| Simulated Global Positioning System Receiver Inertial Navigation System Kalman Filter Operation g| 227 -- g| Chapter 13. t| In-Motion Alignment g| 235 -- g| 13.1 t| Transfer Alignment g| 235 -- g| 13.2 t| Alignment Without Benefit of Attitude Initialization g| 245 -- g| Chapter 14. t| Integrated Differential Global Positioning System/Dead-Reckoning Navigation g| 257 -- g| 14.1 t| Dead-Reckoning Navigation Equations g| 258 -- g| 14.2 t| Dead-Reckoning System Error Model g| 259 -- g| 14.3 t| Differential Global Positioning System Position Observations g| 262 -- g| 14.4 t| Integrated Dead-Reckoning/Differential Global Positioning System Implementation g| 262 -- g| 14.5 t| Test Conditions g| 263 -- g| 14.6 t| Test Results g| 264 -- g| Appendix A. t| Pinson Error Model g| 273 -- g| Appendix B. t| Global Positioning System Position Velocity and Acceleration Filter Error Model g| 283 -- g| Appendix C. t| Coarse Alignment Error Equations g| 285 -- g| Appendix D. t| Fine Alignment Error Equations g| 291.
    596
      
      
    a| 5
    650
      
    0
    a| Aids to air navigation x| Research.
    650
      
    0
    a| Inertial navigation x| Mathematics.
    650
      
    0
    a| Inertial navigation (Aeronautics) x| Mathematics.
    650
      
    0
    a| Inertial navigation (Astronautics) x| Mathematics.
    650
      
    0
    a| Inertial navigation systems x| Research.
    650
      
    0
    a| Global Positioning System.
    650
      
    0
    a| Kalman filtering.
    653
      
      
    a| Integrated navigation systems.
    999
      
      
    a| TL695 .R64 2000 w| LC i| X004476397 l| STACKS m| SCI-ENG t| BOOK
▾See more
▴See less

Availability

Google Preview

Google Books Preview
Library Location Map Availability Call Number
Brown Science and Engineering Stacks N/A Available