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Along-Track Position Error Bound Estimation Using Kalman Filter-Based RAIM for UAV Geofencing

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초록

Geo-fencing supports Unmanned Aerial Vehicle (UAV) operation by defining stay-in and stay-out regions. National Aeronautics and Space Administration (NASA) has developed a prototype of geo-fencing function, SAFEGUARD, which prevents stay-out region violation by utilizing position estimates. Thus, SAFEGUARD depends on navigation system performance, and a safety risk associated with navigation system uncertainty should be considered. This study presents a methodology to compute the safety risk assessment based along-track position error bound under nominal and GNSS failure conditions. A Kalman filter system using pseudorange rate measurements as well as pseudorange measurements is considered for position uncertainty induced by velocity uncertainty. The worst case pseudorange and pseudorange rate faults-based position error bound under the GNSS failure condition is derived. The position error bound simulations are also conducted for different GNSS fault hypotheses, and constellation conditions with a GNSS/INS integrated navigation system. The results show that proposed along-track position error bounds depend on satellite geometries caused by UAV attitude change and are reduced to about 40% of those of the single constellation case when using the dual constellation.

Abstract

Geo-fencing supports Unmanned Aerial Vehicle (UAV) operation by defining stay-in and stay-out regions. National Aeronautics and Space Administration (NASA) has developed a prototype of geo-fencing function, SAFEGUARD, which prevents stay-out region violation by utilizing position estimates. Thus, SAFEGUARD depends on navigation system performance, and a safety risk associated with navigation system uncertainty should be considered. This study presents a methodology to compute the safety risk assessment based along-track position error bound under nominal and GNSS failure conditions. A Kalman filter system using pseudorange rate measurements as well as pseudorange measurements is considered for position uncertainty induced by velocity uncertainty. The worst case pseudorange and pseudorange rate faults-based position error bound under the GNSS failure condition is derived. The position error bound simulations are also conducted for different GNSS fault hypotheses, and constellation conditions with a GNSS/INS integrated navigation system. The results show that proposed along-track position error bounds depend on satellite geometries caused by UAV attitude change and are reduced to about 40% of those of the single constellation case when using the dual constellation.

참고문헌 (11)

  1. Susmita Bhattacharyya, "Kalman filter–based RAIM for GNSS receivers", IEEE Transactions on Aerospace and Electronic Systems, 51(3), pp.2444~2459 (2015), Institute of Electrical and Electronics Engineers (IEEE)[DOI]
  2. Dill, E. T., "SAFEGUARD: An assured safety net technology for UAS", 2016 IEEE, 2016, ~
  3. Grimsley, F. M., "Equivalent Safety Analysis Using Casualty Expectation Approach", AIAA 3rd "Unmanned Unlimited" Technical Conference, Workshop and Exhibit (2004)
  4. Groves, P. D., "Principles of GNSS, inertial, and multisensor integrated navigation systems" (2013), Artech House
  5. Mathieu Joerger, "Solution Separation Versus Residual-Based RAIM", Navigation, 61(4), pp.273~291 (2014), Institute of Navigation[DOI]
  6. Mathieu Joerger, "Kalman Filter-Based Integrity Monitoring Against Sensor Faults", Journal of Guidance, Control, and Dynamics, 36(2), pp.349~361 (2013), American Institute of Aeronautics and Astronautics (AIAA)[DOI]
  7. Kim, M.-C., "Distance for Zone-Type Airspace of UTM", The Society for Aerospace System Engineering (SASE) 2019 Spring Conference (2019)
  8. Nam, G.-H., "Kalman Filter RAIM Based Along-Track Position Error Bound", 2022 IPNT Conference, pp.99~102 (2022)
  9. Cagatay Tanil, "An INS Monitor to Detect GNSS Spoofers Capable of Tracking Vehicle Position", IEEE Transactions on Aerospace and Electronic Systems, 54(1), pp.131~143 (2018), Institute of Electrical and Electronics Engineers (IEEE)[DOI]
  10. US Department of Defense, "Global Positioning System Standard Positioning Service Performance Standard", U.S. DOD, 47~48 (2020)
  11. Walter, T., "Weighted RAIM for Precision Approach", Proceedings of the 8th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 1995), pp.1995~2004 (1995)

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