Survey of Global-Positioning-System-Based Attitude Determination Algorithms
2017; American Institute of Aeronautics and Astronautics; Volume: 40; Issue: 6 Linguagem: Inglês
10.2514/1.g002504
ISSN1533-3884
Autores Tópico(s)Target Tracking and Data Fusion in Sensor Networks
ResumoNo AccessSurvey PaperSurvey of Global-Positioning-System-Based Attitude Determination AlgorithmsShu Ting Goh and Kay-Soon LowShu Ting GohNanyang Technological University, Singapore 639798, Republic of Singapore and Kay-Soon LowNanyang Technological University, Singapore 639798, Republic of SingaporePublished Online:13 Mar 2017https://doi.org/10.2514/1.G002504SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Brown A. K., Thorvaldsen T. P. and Bowles W. M., "Interferometric Attitude Determination Using the Global Positioning System—A New Gyrotheodolite," Proceedings of the 3rd International Geodetic Symposium on Satellite Doppler Positioning, New Mexico State Univ., Las Cruces, NM, Feb. 1982, pp. 1289–1302. Google Scholar[2] Ferguson K., Kosmalska J., Kuhl M., Eichner J.-M., Kepski K. and Abtahi R., "Three-Dimensional Attitude Determination with the Ashtech 3DF 24-Channel GPS Measurement System," Proceedings of the 1991 National Technical Meeting, Inst. of Navigation, Virginia, 1991, pp. 35–41. Google Scholar[3] Graas F. V. and Braasch M., "GPS Interferometric Attitude and Heading Determination: Initial Flight Test Results," Navigation, Journal of the Institute of Navigation, Vol. 38, No. 4, 1991, pp. 297–316. doi:https://doi.org/10.1002/navi.1991.38.issue-4 Google Scholar[4] Greenspan R. L., Ng A. Y., Przyjemski J. M. and Veale J. D., "Accuracy of Relative Positioning by Interferometry with Reconstructed Carrier GPS: Experimental Results," Proceedings of the 3rd Geodetic Symposium on Satellite Doppler Positioning, New Mexico State Univ., Las Cruces, NM, Feb. 1982, pp. 1177–1195. Google Scholar[5] Joseph K. M. and Deem P. S., "Precision Orientation: A New GPS Application," Proceedings of the International Telemetering Conference, International Foundation for Telemetering, San Diego, CA, Oct. 1983. Google Scholar[6] Spinney V. W., "Applications of Global Positioning System as an Attitude Reference for Near Earth Users," Proceedings of the Bicentennial National Aerospace Symposium on New Frontiers in Aerospace Navigation, Institute of Navigation, Virginia, 1976, pp. 132–136. Google Scholar[7] Purcell G. H., Srinivasan J. M., Young L. E., DiNardo S. J., Wushbeck E. L., Meehan T. K., Munson T. N. and Yunck T. P., "Measurement of Aircraft Position, Velocity, and Attitude Using Rogue GPS Receivers," Proceedings of the 5th International Geodetic Symposium on Satellite Positioning, New Mexico State Univ., Las Cruces, NM, March 1989, pp. 1019–1028. Google Scholar[8] Kruczynski L. R., Li P. C., Evans A. G. and Hermann B. R., "Using GPS to Determine Vehicle Attitude–USS Yorktown Test Results," Proceedings of the 2nd International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1989, pp. 163–171. Google Scholar[9] Cohen C. E., "Attitude Determination Using GPS," Ph.D. Dissertation, Stanford Univ., Stanford, CA, 1992. Google Scholar[10] Cohen C. E., Lightsey E. G., Parkinson B. W. and Feess W. A., "Space Flight Tests of Attitude Determination Using GPS," International Journal of Satellite Communications, Vol. 12, No. 5, 1994, pp. 427–433. doi:https://doi.org/10.1002/(ISSN)1099-1247 IJSCEF 1099-1247 CrossrefGoogle Scholar[11] Hide C., Pinchin J. and Park D., "Development of a Low Cost Multiple GPS Antenna Attitude System," Proceedings of the 20th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 2007, pp. 88–95. Google Scholar[12] Lachapelle G., Cannon M. E., Lu G. and Loncarevic B., "Shipborne GPS Attitude Determination During MMST-93," IEEE Journal of Oceanic Engineering, Vol. 21, No. 1, 1996, pp. 100–104. doi:https://doi.org/10.1109/48.485206 IJOEDY 0364-9059 CrossrefGoogle Scholar[13] Leite N. P. O. and Walter F., "Static and Dynamic Performance of a Novel GPS Attitude Determination Algorithm (GADA)," Proceedings of the 2007 National Technical Meeting, Inst. of Navigation, Virginia, San Diego, CA, 2007, pp. 161–171. Google Scholar[14] Longstaff I. and Brown A., "Precision Attitude Determination Using a Low Grade GPS-Aided Inertial Measurement Unit," Proceedings of the 10th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1997, pp. 323–328. Google Scholar[15] Lu G., "Development of a GPS Multi-Antenna System for Attitude Determination," Ph.D. Dissertation, Univ. of Calgary, Calgary, Canada, 1995. Google Scholar[16] McMillan J. C., Arden D., Lachapelle G. and Lu G., "Dynamic GPS Attitude Performance Using INS/GPS Reference," Proceedings of the 7th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1994, pp. 675–682. Google Scholar[17] Salychev O. S., Voronovy V. V., Cannon M. E., Nayak R. and Lachapelle G., "Attitude Determination with GPS-Aided Inertial Navigation Systems," Proceedings of the IAIN World Congress and the 56th Annual Meeting, Inst. of Navigation, Virginia, 2000, pp. 705–711. Google Scholar[18] Wang C., "Development of a Low-Cost GPS-Based Attitude Determination System," M.S. Thesis, Univ. of Calgary, Calgary, AB, Canada, 2003. Google Scholar[19] Wang C. and Lachapelle G., "GPS Attitude Determination Reliability Performance Improvement Using Low Cost Receivers," Journal of Global Positioning Systems, Vol. 1, No. 2, 2002, pp. 85–95. doi:https://doi.org/10.5081/jgps CrossrefGoogle Scholar[20] Hwang D.-H., Oh S. H., Lee S. J., Park C. and Rizos C., "Design of a Low-Cost Attitude Determination GPS/INS Integrated Navigation System," GPS Solutions, Vol. 9, No. 4, 2005, pp. 294–311. doi:https://doi.org/10.1007/s10291-005-0135-9 CrossrefGoogle Scholar[21] Diefes D., "GPS Based Attitude Determining System for Marine Navigation," Proceedings of the IEEE Position Location and Navigation Symposium, IEEE Publ., Piscataway, NJ, 1994, pp. 806–812. Google Scholar[22] Nadarajah N. and Teunissen P. J. G., "Instantaneous GPS/Galileo/QZSS/SBAS Attitude Determination: A Single-Frequency (L1/E1) Robustness Analysis Under Constrained Environments," Navigation, Journal of the Institute of Navigation, Vol. 61, No. 1, 2015, pp. 65–75. doi:https://doi.org/10.1002/navi.v61.1 Google Scholar[23] Bernelli-Zazzera F., Molina M., Vanotti M. and Vasile M., "New Algorithm for Attitude Determination Using GPS Signals," Proceedings of the XVI Congresso Nazionale AIDAA, Italian Association of Aerotechnics, Rome, Italy, 2001, pp. 1–10. Google Scholar[24] Kuang J. and Tan S. H., "GPS-Based Attitude Determination of Gyrostat Satellite by Quaternion Estimation Algorithms," Acta Astronautica, Vol. 51, No. 11, 2002, pp. 743–759. doi:https://doi.org/10.1016/S0094-5765(02)00031-0 AASTCF 0094-5765 CrossrefGoogle Scholar[25] Shuster M. D. and Oh S. D., "Three-Axis Attitude Determination from Vector Observation," Journal of Guidance and Control, Vol. 4, No. 1, 1981, pp. 70–77. doi:https://doi.org/10.2514/3.19717 JGCODS 0162-3192 LinkGoogle Scholar[26] Axelrad P. and Behre C. P., "Satellite Attitude Determination Based on GPS Signal-to-Noise Ratio," Proceedings of the IEEE, Vol. 87, No. 1, 1999, pp. 133–144. doi:https://doi.org/10.1109/5.736346 IEEPAD 0018-9219 CrossrefGoogle Scholar[27] Chu Q. P. and Woerkom P. T. L. M. V., "GPS for Low-Cost Attitude Determination: A Review of Concepts, In-Flight Experiences, and Current Developments," Acta Astronautica, Vol. 41, No. 4, 1997, pp. 421–433. doi:https://doi.org/10.1016/S0094-5765(98)00046-0 AASTCF 0094-5765 CrossrefGoogle Scholar[28] Hauschild A. and Montenbruck O., "GPS-Based Attitude Determination for Microsatellites," Proceedings of the 20th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 2007, pp. 2424–2434. Google Scholar[29] Markel M., Sutton E. and Zmuda H., "An Antenna Array-Based Approach to Attitude Determination in a Jammed Environment," Proceedings of the 14th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, Sept. 2001, pp. 2914–2926. Google Scholar[30] Yang C. and Lin D. M., "Angles of Arrival Tracking of GPS Signals with Digital Beamforming Monopulse for Attitude Determination," Proceedings of the 60th Annual Meeting, Inst. of Navigation, Virginia, 2004, pp. 521–532. Google Scholar[31] Jekeli C., Inertial Navigation Systems with Geodetic Applications, Walter de Gruyter, New York, 2001, pp. 255–294. CrossrefGoogle Scholar[32] Teunissen P. J. G., GPS for Geodesy, 2 ed., Springer, Germany, 1998. CrossrefGoogle Scholar[33] Garcia J. G., Roncagliolo P. A. and Muravchik C. H., "Constrained Kalman Filter Based Attitude Estimation with GPS Signals," Proceedings of the 20th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 2007, pp. 849–857. Google Scholar[34] Jun W.-J., Jee G.-I., Lee Y. J. and Hong J.-S., "Quaternion-Based Attitude Estimation Using Multiple GPS Antennas, MEMS IMU," Proceedings of the 16th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 2003, pp. 480–488. Google Scholar[35] Lu G., Cannon M. E. and Lachapelle G., "Attitude Determination in a Survey Launch Using Multi-Antenna GPS Technologies," Proceedings of the 1993 National Technical Meeting, Inst. of Navigation, Virginia, 1993, pp. 251–259. Google Scholar[36] Nadarajah N., Teunissen P. J. G., Buist P. J. and Steigenberger P., "First Results of Instantaneous GPS/Galileo/COMPASS Attitude Determination," Proceedings of the 6th ESA Workshop on Satellite Navigation Technologies and European Workshop on GNSS Signals and Signal Processing, IEEE Publ., Piscataway, NJ, 2012, pp. 1–8. Google Scholar[37] Li Y., Zhang K., Roberts C. and Murata M., "On-the-Fly GPS-Based Attitude Determination Using Single- and Double-Differenced Carrier Phase Measurements," GPS Solutions, Vol. 8, No. 2, 2004, pp. 93–102. doi:https://doi.org/10.1007/s10291-004-0089-3 CrossrefGoogle Scholar[38] Chen D., "Fast Ambiguity Search Filter (FASF): A Noval Concept for GPS Ambiguity Resolution," Proceedings of the 6th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1993, pp. 781–787. Google Scholar[39] Hodgart M. S. and Purivigraipong S., "New Approach to Resolving Instantaneous Integer Ambiguity Resolution for Spacecraft Attitude Determination Using GPS Signals," Proceedings of the IEEE 2000 Position Location and Navigation Symposium, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 2000, pp. 132–139. Google Scholar[40] Jonkman N. F., Teunissen P. J. G., Joosten P. and Odijk D., "GNSS Long Baseline Ambiguity Resolution: Impact of a Third Navigation Frequency," Geodesy Beyond 2000: The Challenges of the First Decade IAG General Assembly Birmingham, Springer, Berlin, 2000, pp. 349–354. doi:https://doi.org/10.1007/978-3-642-59742-8_57 Google Scholar[41] Liu C. and Chen P., "Resolution of Integer Ambiguity in GPS Attitude Determination," Proceedings of the 1st International Conference on Instrumentation, Measurement, Computer, Communication and Control, Beijing, 2011, pp. 953–957. Google Scholar[42] Pasetti A., Colmenarejo P. and Gottifredi F., "A Visibility-Based Algorithm for the GPS Initial Integer Ambiguity Problem," Proceedings of the 3rd ESA International Conference on Spacecraft Guidance, Navigation and Control Systems, European Space Agency Publ. Division, Noordwijk, The Netherlands, 1996, pp. 327–333. Google Scholar[43] Teunissen P. J. G., "The Least-Squares Ambiguity Decorrelation Adjustment: A Method for Fast GPS Integer Ambiguity Estimation," Journal of Geodesy, Vol. 70, No. 1, 1995, pp. 65–82. doi:https://doi.org/10.1007/BF00863419 JOGEF8 0949-7714 CrossrefGoogle Scholar[44] Buist P. J., Teunissen P. J. G., Giorgi G. and Verhagen S., "Multivariate Bootstrapped Relative Positioning of Spacecraft Using GPS L1/Galileo E1 Signals," Advances in Space Research, Vol. 47, No. 5, 2011, pp. 770–785. doi:https://doi.org/10.1016/j.asr.2010.10.001 ASRSDW 0273-1177 CrossrefGoogle Scholar[45] Verhagen S. and Teunissen P. J. G., "New Global Navigation Satellite System Ambiguity Resolution Method Compared to Existing Approaches," Journal of Guidance, Control, and Dynamics, Vol. 29, No. 4, 2006, pp. 981–991. doi:https://doi.org/10.2514/1.15905 JGCODS 0731-5090 LinkGoogle Scholar[46] Giorgi G., Teunissen P. and Buist P., "A Search and Shrink Approach for the Baseline Constrained LAMBDA Method: Experimental Results," Proceedings of the International Symposium on GPS/GNSS 2008, The Institute of Positioning, Navigation and Timing of Japan, Tokyo, Japan, Nov. 2008, pp. 797–806. Google Scholar[47] Buist P., "The Baseline Constrained LAMBDA Method for Single Epoch, Single Frequency Attitude Determination Applications," Proceedings of the 20th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, Sept. 2007, pp. 2962–2973. Google Scholar[48] Park C. and Teunissen P. J. G., "A New Carrier Phase Ambiguity Estimation for GNSS Attitude Determination Systems," International Symposium on GPS/GNSS 2003, The Inst. of Positioning, Navigation and Timing of Japan, Tokyo, Japan, 2003, pp. 283–290. Google Scholar[49] Park C. and Teunissen P. J. G., "Integer Least Squares with Quadratic Equality Constraints and Its Application to GNSS Attitude Determination Systems," International Journal of Control, Automation and Systems, Vol. 7, No. 4, Aug. 2009, pp. 566–576. doi:https://doi.org/10.1007/s12555-009-0408-0 CrossrefGoogle Scholar[50] Giorgi G. and Teunissen P. J. G., "Carrier Phase GNSS Attitude Determination with the Multivariate Constrained LAMBDA Method," Proceedings of the IEEE Aerospace Conference, IEEE Publ., Piscataway, NJ, March 2010, pp. 1–12. Google Scholar[51] Xu J., Arslan T., Wan D. and Wang Q., "GPS Attitude Determination Using a Genetic Algorithm," Proceedings of the Congress on Evolutionary Computation, IEEE Publ., Piscataway, NJ, 2002, pp. 998–1002. Google Scholar[52] Xia K., Zhang X., Gao J. and Zhang L., "Study on GPS Attitude Determination Technology Based on QPSO Algorithm," Proceedings of the 7th World Congress on Intelligent Control and Automation, IEEE Publ., Piscataway, NJ, 2008, pp. 1869–1873. Google Scholar[53] Xia N., Wang C., Shang X. and Yu C., "Research on GPS Attitude Determination Based on DPSO," Proceedings of the 6th International Conference on Natural Computation, Vol. 8, IEEE Publ., Piscataway, NJ, 2010, pp. 4229–4233. Google Scholar[54] Weill L. R., "Optimal GPS Attitude Determination Without Ambiguity Resolution," Proceedings of the 1994 National Technical Meeting, Inst. of Navigation, Virginia, 1994, pp. 433–439. Google Scholar[55] Markel M., Sutton E. and Zmuda H., "An Antenna Array-Based Approach to Attitude Determination in a Jammed Environment," Proceedings of the 14th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 2001, pp. 2914–2926. Google Scholar[56] Juang J.-C. and Huang G.-S., "Development of GPS-Based Attitude Determination Algorithms," IEEE Transactions on Aerospace and Electronic Systems, Vol. 33, No. 3, 1997, pp. 968–976. doi:https://doi.org/10.1109/7.599320 IEARAX 0018-9251 CrossrefGoogle Scholar[57] Nadler A., Bar-Itzhack I. Y. and Weiss H., "On Algorithms for Attitude Estimation Using GPS," Proceedings of the 39th IEEE Conference on Decision and Control, Vol. 4, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 2000, pp. 3321–3326. Google Scholar[58] Crassidis J. L., Markley F. and Lightsey E., "Application of Vectorized Attitude Determination Using Global Positioning System Signals," AIAA/AAS Astrodynamics Specialist Conference and Exhibit, AIAA Paper 1998-4390, 1998. LinkGoogle Scholar[59] Crassidis J. L. and Markley F. L., "New Algorithm for Attitude Determination Using Global Positioning System Signals," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 5, 1997, pp. 891–896. doi:https://doi.org/10.2514/2.4162 JGCODS 0731-5090 LinkGoogle Scholar[60] Abbas N. N., Jun L. Y. and Fiaz M., "Attitude Determination of Small Satellite Using Phase and Code Measurements of Global Navigation Satellite System: Design, Simulation and Comparison," Proceedings of the Saudi International Electronics, Communications and Photonics Conference (SIECPC), IEEE Publ., Piscataway, NJ, 2013, pp. 1–6. Google Scholar[61] Lin D., Voon L. K., Rong H. G. and Nagarajan N., "GPS-Based Attitude Determination for Microsatellite Using Three-Antenna Technology," Proceedings of the IEEE Aerospace Conference, Vol. 2, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 2004, pp. 1024–1029. Google Scholar[62] Park B., Jeon S. and Kee C., "A Closed-Form Method for the Attitude Determination Using GNSS Doppler Measurements," International Journal of Control, Automation and Systems, Vol. 9, No. 4, 2011, pp. 701–708. doi:https://doi.org/10.1007/s12555-011-0411-0 CrossrefGoogle Scholar[63] Rokhlin V. and Even-Tzur G., "Attitude Determination by Means of Dual Frequency GPS Receivers," FIG Working Week 2012, International Federation of Surveyors, Copenhagen, Denmark, 2012, pp. 1–17. Google Scholar[64] Li Y., "A New Approach for Attitude Determination Using GPS Carrier Phase Measurements," AIAA Guidance, Navigation, and Control Conference and Exhibit, AIAA Paper 2000-4467, Aug. 2000. LinkGoogle Scholar[65] Li Y. and Murata M., "New Approach to Attitude Determination Using Global Positioning System Carrier Phase Measurements," Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, 2002, pp. 130–136. doi:https://doi.org/10.2514/2.4857 JGCODS 0731-5090 LinkGoogle Scholar[66] Cohen C. E., Cobb H. S. and Parkinson B. W., "Two Studies of High Performance Attitude Determination Using GPS: Generalizing Wahba's Problem for High Output Rates and Evaluation of Static Accuracy Using a Theodolite," Proceedings of the 5th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1992, pp. 1197–1203. Google Scholar[67] Arbinger C., Enderle W. and Wagner O., "GPS Based Star Sensor Aiding for Attitude Determination in High Dynamics," Proceedings of the 14th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 2001, pp. 2952–2971. Google Scholar[68] Fuller R., Hong D., Hur-Diaz S., Rodden J. and Tse M., "GPS Tensor an Attitude and Orbit Determination System for Space," Proceedings of the 10th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1997, pp. 299–311. Google Scholar[69] Fuller R., Gomez S., Marradi L. and Rodden J., "GPS Attitude Determination from Double Difference Differential Phase Measurements," Proceedings of the 9th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1996, pp. 1073–1080. Google Scholar[70] Han S. and Rizos C., "Single-Epoch Ambiguity Resolution for Real-Time GPS Attitude Determination with the Aid of One-Dimensional Optical Fiber Gyro," GPS Solutions, Vol. 3, No. 1, 1999, pp. 5–12. doi:https://doi.org/10.1007/PL00012779 CrossrefGoogle Scholar[71] Jurkowski P., Henkel P. and Guenther C., "GPS Based Attitude Determination with Statistical and Deterministic Baseline a Priori Information," Proceedings of the 2012 International Technical Meeting, Inst. of Navigation, Virginia, 2012, pp. 1164–1213. Google Scholar[72] Keierleber K. D. and Maki S. C., "Attitude Determination for Space Transfer Vehicles Using GPS," Proceedings of the 1991 National Technical Meeting, Inst. of Navigation, Virginia, 1991, pp. 85–101. Google Scholar[73] Konovaltsev A., Cuntz M., Haettich C. and Meurer M., "Performance Analysis of Joint Multi-Antenna Spoofing Detection and Attitude Estimation," Proceedings of the 2013 International Technical Meeting, Inst. of Navigation, Virginia, 2013, pp. 864–872. Google Scholar[74] Nadarajah N., Teunissen P. J. G. and Raziq N., "Instantaneous GPS–Galileo Attitude Determination: Single-Frequency Performance in Satellite-Deprived Environments," IEEE Transactions on Vehicular Technology, Vol. 62, No. 7, 2013, pp. 2963–2976. doi:https://doi.org/10.1109/TVT.2013.2256153 CrossrefGoogle Scholar[75] Ziebart M. and Cross P., "LEO GPS Attitude Determination Algorithm for a Micro-Satellite Using Boom-Arm Deployed Antennas," GPS Solutions, Vol. 6, No. 4, 2003, pp. 242–256. doi:https://doi.org/10.1007/s10291-002-0023-5 CrossrefGoogle Scholar[76] Park K. and Crassidis J. L., "A Robust GPS Receiver Self Survey Algorithm," Navigation, Journal of the Institute of Navigation, Vol. 53, No. 5, 2006, pp. 259–268. Google Scholar[77] Park K. J. and Crassidis J. L., "Attitude Determination Methods Using Pseudolite Signal Phase Measurements," Navigation, Journal of the Institute of Navigation, Vol. 53, No. 2, 2006, pp. 121–133. CrossrefGoogle Scholar[78] Ahohe R., "A Compensation Filter Design for Accurate GPS Attitude Determination," Proceedings of the 23rd International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 2010, pp. 224–230. Google Scholar[79] Axelrad P. and Ward L. M., "Spacecraft Attitude Estimation Using the Global Positioning System–Methodology and Results for RADCAL," Journal of Guidance, Control, and Dynamics, Vol. 19, No. 6, 1996, pp. 1201–1209. doi:https://doi.org/10.2514/3.21772 JGCODS 0731-5090 LinkGoogle Scholar[80] Axelrad P. and Ward L. M., "On-Orbit GPS Based Attitude & Antenna Baseline Estimation," Proceedings of the 1994 National Technical Meeting, Inst. of Navigation, Virginia, 1994, pp. 441–450. Google Scholar[81] Buist P. J., Hashida Y., Unwin M. and Schroeder M., "Full Attitude from a Single GPS Antenna: Demonstration of Concept with Orbital Data from PoSAT-1," Proceedings of the 4th ESA International Conference Spacecraft Guidance, Navigation and Control Systems, European Space Agency Publications Division, Noordwijk, The Netherlands, 1999, pp. 493–498. Google Scholar[82] Campana R., Marradi L. and Bonfanti S., "GPS Attitude Determination by Adaptive Kalman Filtering," Proceedings of the 12th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1999, pp. 1979–1988. Google Scholar[83] Campo-Cossio M., Puras A., Arnau R. and Bolado D., "Real-Time Attitude Determination System Based on GPS Carrier Phase Measurements and Aided by Low-Cost Inertial Sensors for High Dynamic Applications," Proceedings of the 13th IAIN World Congress and Exhibition, Nordic Inst. of Navigation, Norway, 2009, pp. 1–10. Google Scholar[84] Chen W., Hu C. and Sun Y., "Attitude Determination with a Low Cost GPS/IMU Unit," Proceedings of the 58th Annual Meeting of the Inst. of Navigation and CIGTF 21st Guidance Test Symposium, Inst. of Navigation, Virginia, 2002, pp. 465–472. Google Scholar[85] Cóias J., Sanguino J. and Oliveira P., "Quaternion Estimation for Attitude Determination Using Multiple L1 GPS Receivers," Proceedings of the 6th ESA Workshop on Satellite Navigation Technologies and European Workshop on GNSS Signals and Signal Processing, (NAVITEC), IEEE Publ., Piscataway, NJ, 2012, pp. 1–8. Google Scholar[86] Eling C., Zeimetz P. and Kuhlmann H., "Development of an Instantaneous GNSS/MEMS Attitude Determination System," GPS Solutions, Vol. 17, No. 1, 2013, pp. 129–138. doi:https://doi.org/10.1007/s10291-012-0266-8 CrossrefGoogle Scholar[87] Hashida Y. and Unwin M. J., "Satellite Attitude from a Single Antenna," Proceedings of the 6th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1993, pp. 355–363. Google Scholar[88] Hauschild A., Grillmayer G., Montenbruck O., Markgraf M. and Vörsmann P., "GPS Based Attitude Determination for the Flying Laptop Satellite," Small Satellites for Earth Observation, Springer, Dordrecht, The Netherlands, 2008, pp. 211–220. CrossrefGoogle Scholar[89] Huang G.-S. and Juang J.-C., "Application of Nonlinear Kalman Filter Approach in Dynamic GPS-Based Attitude Determination," Proceedings of the 40th Midwest Symposium on Circuits and Systems, IEEE Publ., Piscataway, NJ, 1997, pp. 1440–1444. Google Scholar[90] Kornfeld R. P., Hansman R. J. and Deyst J. J., "Preliminary Flight Tests of Pseudo-Attitude Using Single Antenna GPS Sensing," Proceedings of the AIAA/IEEE/SAE Digital Avionics Systems Conference, Vol. 1, Inst. of Electrical and Electronics Engineers, New York, 1998, Paper E56/1-E56/8. Google Scholar[91] Lai Y.-C. and Jan S.-S., "Attitude Estimation Based on Fusion of Gyroscopes and Single Antenna GPS for Small UAVs Under the Influence of Vibration," GPS Solutions, Vol. 15, No. 1, 2010, pp. 67–77. doi:https://doi.org/10.1007/s10291-010-0171-y CrossrefGoogle Scholar[92] Li D., Landry R. and Lavoie P., "Low-Cost MEMS Sensor-Based Attitude Determination System by Integration of Magnetometers and GPS: A Real-Data Test and Performance Evaluation," Proceedings of the IEEE/ION Position, Location and Navigation Symposium, IEEE Publ., Piscataway, NJ, pp. 1190–1198. Google Scholar[93] Li Y., Efatmaneshnik M. and Dempster A. G., "Attitude Determination by Integration of MEMS Inertial Sensors and GPS for Autonomous Agriculture Applications," GPS Solutions, Vol. 16, No. 1, 2011, pp. 41–52. doi:https://doi.org/10.1007/s10291-011-0207-y CrossrefGoogle Scholar[94] Oshman Y. and Markley F. L., "Spacecraft Attitude/Rate Estimation Using Vector-Aided GPS Observations," IEEE Transactions on Aerospace and Electronic Systems, Vol. 35, No. 3, 1999, pp. 1019–1032. doi:https://doi.org/10.1109/7.784071 IEARAX 0018-9251 CrossrefGoogle Scholar[95] Psiaki M., "Attitude Sensing Using a Global-Positioning-System Antenna on a Turntable," Journal of Guidance, Control, and Dynamics, Vol. 24, No. 3, 2000, pp. 474–481. doi:https://doi.org/10.2514/2.4768 JGCODS 0731-5090 LinkGoogle Scholar[96] Purivigraipong S., Unwin M. J., Hodgart M. S. and Kuntanapreeda S., "An Approach to Resolve Integer Ambiguity of GPS Carrier Phase Difference for Spacecraft Attitude Determination," Proceedings of the IEEE Region 10 Conference, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 2005, pp. 1–6. Google Scholar[97] Ruihua L. and Peng Z., "Study on Pseudo-Attitude Determination Technology Based on Single-Antenna GPS Receiver," Proceedings of the 2nd International Conference on Information and Computing Science, IEEE Computer Soc., Los Alamitos, CA, 2009, pp. 83–86. Google Scholar[98] Sevaston G. E., Craymer L. and Breckenridge W., "GPS Based Attitude Determination for Spacecraft: System Engineering Design Study and Ground Testbed Results," Proceedings of the 19th Annual AAS Guidance Control Conference, American Astronautical Soc., Springfield, VA, 1996, pp. 1–20. Google Scholar[99] Silvestrin P., Serrano J., Bernedo P. and Gonzalez P., "A GNSS-Based Attitude Determination System for Low-Earth Observation Satellites," Proceedings of the 8th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1995, pp. 1775–1784. Google Scholar[100] Ward L. M. and Axelrad P., "A Combined Filter for GPS-Based Attitude and Baseline Estimation," Navigation, Journal of the Institute of Navigation, Vol. 44, No. 2, 1997, pp. 195–213. doi:https://doi.org/10.1002/navi.1997.44.issue-2 CrossrefGoogle Scholar[101] Wilkinson B. and Mohamed A., "Ground Based LiDAR Georeferencing Using Dual GPS Antenna Attitude," Proceedings of the 2009 International Technical Meeting, Inst. of Navigation, Virginia, 2009, pp. 375–383. Google Scholar[102] Wu Z., Yao M., Ma H. and Jia W., "Low-Cost Attitude Estimation with MIMU and Two-Antenna GPS for Satcom-on-the-Move," GPS Solutions, Vol. 17, No. 1, 2012, pp. 75–87. doi:https://doi.org/10.1007/s10291-012-0262-z CrossrefGoogle Scholar[103] Yang Y. and Farrell J. A., "Two Antennas GPS-Aided INS for Attitude Determination," IEEE Transactions on Control Systems Technology, Vol. 11, No. 6, 2003, pp. 905–918. doi:https://doi.org/10.1109/TCST.2003.815545 IETTE2 1063-6536 CrossrefGoogle Scholar[104] Turner K. J. and Faruqi F. A., "Multiple GPS Antenna Attitude Determination Using a Gaussian Sum Filter," Proceedings of the IEEE TENCON Digital Signal Processing Applications, Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 1996, pp. 323–328. Google Scholar[105] Satz H. S., Cox D. B. C., Beard R. L. and Landis G. P., "GPS Inertial Attitude Estimation via Carrier Accumulated-Phase Measurements," Navigation, Journal of the Institute of Navigation, Vol. 38, No. 3, 1991, pp. 273–284. Google Scholar[106] Bar-Itzhack I., Montgomery P. and Garrick J., "Algorithms for Attitude Determination Using the Global Positioning System," Journal of Guidance, Control, and Dynamics, Vol. 21, No. 6, 1998, pp. 846–852. doi:https://doi.org/10.2514/2.4347 JGCODS 0731-5090 LinkGoogle Scholar[107] Crassidis J. L., Lightsey E. G. and Markley F. L., "Efficient and Optimal Attitude Determination Using Recursive Global Positioning System Signal Operations," Journal of Guidance, Control, and Dynamics, Vol. 22, No. 2, 1999, pp. 193–201. doi:https://doi.org/10.2514/2.4373 JGCODS 0731-5090 LinkGoogle Scholar[108] Tsai Y.-F., Chin S.-T., Lee G.-X., Goh S. T. and Low K.-S., "Hardware-in-the-Loop Validation of GPS/GNSS Based Mission Planning for LEO Satellites," Proceedings of the International Symposium on GNSS [CD-ROM/DVD-ROM], The Inst. of Positioning, Navigation and Timing of Japan, Tokyo, Japan, Nov. 2015, Paper 18C3-41. Google Scholar[109] Xu G., GPS: Theory, Algorithms and Applications, 3rd ed., Springer, Germany, 2007, pp. 37–42, 78–131. Google Scholar[110] Moradi R., Schuster W., Feng S., Jokinen A. and Ochieng W., "The Carrier-Multipath Observable: A New Carrier-Phase Multipath Mitigation Technique," GPS Solutions, Vol. 19, No. 1, 2015, pp. 73–82. doi:https://doi.org/10.1007/s10291-014-0366-8 CrossrefGoogle Scholar[111] Chen W., "A Remark on the GNSS Single Difference Model with Common Clock Scheme for Attitude Determination," Journal of Applied Geodesy, Vol. 10, No. 3, 2016, pp. 167–173. doi:https://doi.org/10.1515/jag-2016-0008 CrossrefGoogle Scholar[112] Ashkenazi V. and Yau J., "Significance of Discrepancies in the Processing of GPS Data with Different Algorithms," Bulletin Géodésique, Vol. 60, No. 3, 1986, pp. 229–239. CrossrefGoogle Scholar[113] Codol J. M. and Monin A., "Improved Triple Difference GPS Carrier Phase for RTK-GPS Positioning," Proceedings of the IEEE Statistical Signal Processing Workshop (SSP), Inst. of Electrical and Electronics Engineers, Piscataway, NJ, 2011, pp. 61–64. Google Scholar[114] Oh S.-H., Hwang D.-H., Park C.-S. and Lee S.-J., "Attitude Determination GPS/INS Integration System Design Using Triple Difference Technique," Journal of Electrical Engineering and Technology, Vol. 7, No. 4, 2012, pp. 615–625. doi:https://doi.org/10.5370/JEET.2012.7.4.615 CrossrefGoogle Scholar[115] Martin-Neira M. and Lucas R., "GPS Attitude Determination of Spin Stabilized Satellites," Proceedings of the 5th International Technical Meeting of the Satellite Division, Inst. of Navigation, Virginia, 1992, pp. 757–765. Google Scholar[116] Martin-Neira M., Lucas R. and Martinez M. A., "Attitude Determination with GPS: Experimental Results," IEEE Aerospace and Electronic Systems Magazine, Vol. 5, No. 9, 1990, pp. 24–29. doi:https://doi.org/10.1109/62.59282 CrossrefGoogle Scholar[117] Traugott J., Odijk D., Montenbruck O. and Tiberius C. C. J. M., "Making a Difference with GPS–Time Differences for Kinematic Positioning with Low Cost Receivers," GPS World, Vol. 19, No. 5, May 2008, pp. 48–57. GPWOEN 1048-5104 Google Scholar[118] Schaub H. and Junkins J. L., Analytical Mechanics of Space Systems, AIAA Education Series, AIAA, Reston, VA, 2003, pp. 679–680. LinkGoogle Scholar[119] Crassidis J. L. and Junkins J. L., Optimal Estimation of Dynamic Systems, 1st ed., Chapman & Hall, Boca Raton, FL, 2004, pp. 271–314, 422. CrossrefGoogle Scholar[120] Golub G. H. and Reinsch C., "Singular Value Decomposition and Least Squares Solutions," Handbook Series Linear Algebra, Vol. 14, No. 5, 1970, pp. 403–420. Google Scholar[121] Markley F. L., "Attitude Determination Using Vector Observations and the Singular Value Decomposition," Journal of the Astronautical Sciences, Vol. 38, No. 3, 1987, pp. 245–258. JALSA6 0021-9142 Google Scholar[122] Markley F. L., "Attitude Determination Using Vector Observations: A Fast Optimal Matrix Algorithm," Journal of Astronautical Sciences, Vol. 41, No. 2, 1993, pp. 261–280. Google Scholar[123] Crassidis J. L. and Markley F. L., "Predictive Filtering for Nonlinear Systems," Journal of Guidance, Control, and Dynamics, Vol. 20, No. 3, 1997, pp. 566–572. doi:https://doi.org/10.2514/2.4078 JGCODS 0731-5090 LinkGoogle Scholar[124] Julier S. J. and Uhlmann J. K., "Unscented Filtering and Nonlinear Estimation," Proceedings of the IEEE, Vol. 92, No. 3, 2004, pp. 401–422. doi:https://doi.org/10.1109/JPROC.2003.823141 IEEPAD 0018-9219 CrossrefGoogle Scholar[125] Goh S. T., Abdelkhalik O. and Zekavat S. A. R., "A Weighted Measurement Fusion Kalman Filter Implementation for UAV Navigation," Aerospace Science and Technology, Vol. 28, No. 1, 2013, pp. 315–323. doi:https://doi.org/10.1016/j.ast.2012.11.012 CrossrefGoogle Scholar[126] Hartley R. and Zisserman A., Multiple View Geometry in Computer Vision, 2nd ed., Cambridge Univ., New York, 2004, pp. 585–587. 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Landis Markley and Yang Cheng4 June 2018 | Journal of Guidance, Control, and Dynamics, Vol. 41, No. 10A Multi-antenna GNSS-over-fiber System with High Vertical PrecisionAn inequality constrained ensemble Kalman Filter for parameter estimation application What's Popular Volume 40, Number 6June 2017 CrossmarkInformationCopyright © 2016 by Shu Ting Goh. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0731-5090 (print) or 1533-3884 (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAvionicsControl TheoryGPS ReceiversGlobal Navigation Satellite SystemGlobal Positioning SystemGuidance and Navigational AlgorithmsGuidance, Navigation, and Control SystemsKalman FilterSatellite Navigation SystemsSpace Advocacy OrganizationsSpace AgenciesSpace OrganizationsSpace Science and TechnologySpacecraft Guidance and Control KeywordsGPSAttitude Determination AlgorithmsUnscented Kalman FilterLow Earth Orbit SatellitesSatellite NavigationAmerican Astronautical SocietyGPS ReceiversSingular Value DecompositionNavigation SatellitesBody Reference FramePDF Received28 September 2016Accepted15 December 2016Published online13 March 2017
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