Detection of bias in GPS Satellites' measurements: A probability ratio test formulation

IEEE Transactions on Control Systems Technology

Volumn 22, Issue 3, 2014, Pages 1166-1173

  Abdel Hafez, Mamoun F ^a  

^a AMERICAN UNIVERSITY OF SHARJAH   (United Arab Emirates)

Author keywords

Bias estimation; fault detection and identification (FDI); global positioning system (GPS); inertial navigation sensor; Kalman filtering (KF).

Indexed keywords

ERROR ANALYSIS; FAULT DETECTION; PROBABILITY;

BIAS ESTIMATION; COMPUTATIONAL TIME; FAULT DETECTION AND IDENTIFICATION; INERTIAL NAVIGATIONS; KALMAN-FILTERING; MEASUREMENT RESIDUAL; PSEUDORANGE MEASUREMENTS; SATELLITE MEASUREMENTS;

GLOBAL POSITIONING SYSTEM;

EID: 84899931135     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2013.2267093     Document Type: Article

References (18)

1. W. R. Williamson, M. F. Abdel-Hafez, I. Ree, E. Song, J. Wolfe,D. Cooper, and J. L. Speyer, "An instrumentation system applied toformation flight," IEEE Trans. Control Syst. Technol., vol. 15, no. 1,pp. 75-85, Jan. 2007.
2. Y. Bar-Shalom, X. R. Li, and T. Kirubarajan, Estimation with Applicationsto Tracking and Navigation, Theory, Algorithms, and Software.New York, NY, USA: Wiley, 2001.
3. I. Hwang, S. Kim, Y. Kim, and C. E. Seah, "A survey of faultdetection, isolation, and reconfiguration methods," IEEE Trans. ControlSyst. Technol., vol. 18, no. 3, pp. 636-653, May 2010.
4. C. W. Baum and V. V. Veeravalli, "A sequential procedure for multihypothesistesting," IEEE Trans. Inf. Theory, vol. 40, no. 6, pp. 1994-2007,Nov. 1994.
5. A. N. Shirayayev, Optimal Stopping Rules. New York, NY, USA:Springer-Verlag, 1978.
6. V. P. Dragalin, A. G. Tartakovsky, and V. V. Veeravalli, "Multihypothesissequential probability ratio tests. I. Assymptotic optimality," IEEE Trans.Inf. Theory, vol. 45, no. 7, pp. 2448-2461, Nov. 1999.
7. V. P. Dragalin, A. G. Tartakovsky, and V. V. Veeravalli, "Multihypothesissequential probability ratio tests. II. Accurate assymptotic expansionsfor the expected sample size," IEEE Trans. Inf. Theory, vol. 46, no. 4,pp. 1366-1383, Jul. 2000.
8. X. Dai, Z. W. Gao, T. V. Breikin, and H. Wang, "High-gain observerbasedestimation of parameter variations with delay alignment," IEEETrans. Autom. Control, vol. 57, no. 3, pp. 726-732, Mar. 2012.
9. Z. W. Gao, X. W. Dai, T. V. Breikin, and H. G. Wang, "Novel parameteridentification by using a high-gain observer with application to a gasturbine engine," IEEE Trans. Ind. Inf., vol. 4, no. 4, pp. 271-279,Nov. 2008.
10. Y. Gao, W. J. Jia, X. J. Sun, and Z. L. Deng, "Self-tuning multisensorweighted measurement fusion Kalman filter," IEEE Trans. Aerosp.Electron. Syst., vol. 45, no. 1, pp. 179-191, Jan. 2009.
11. B. J. Odelson, M. R. Rajamani, and J. B. Rawlings, "A new autocovarianceleast-squares method for estimating noise covariances," Automatica,vol. 42, no. 3, pp. 303-308, 2005.
12. R. Leandro, M. Santos, and K. Cove, "An empirical approach for theestimation of GPS covariance marix of observations," in Proc. 61st Annu.Meeting Inst. Navigat., 2004, pp. 1098-1104.
13. M. F. Abdel-Hafez, "The autocovariance least squares technique forGPS measurement noise estimation," IEEE Trans. Veh. Technol., vol. 59,no. 2, pp. 574-588, Feb. 2010.
14. N. A. White, P. S. Maybeck, and S. L. DeVilbiss, "Detection ofinterference/jamming and spoofing in a DGPS-aided inertial system,"IEEE Trans. Aerosp. Electron. Syst., vol. 34, no. 4, pp. 1208-1217,Oct. 1998.
15. S. Chan and L. Speyer, "A sequential probability test for RAIM," inProc. 17th Int. Tech. Meetign Satellite Division Inst. Navigat., Sep. 2004,pp. 1798-1802.
16. M. F. Abdel-Hafez, "Detection of bias in GPS satellites' measurementsfor enhanced measurement integrity," Int. J. Aerosp. Mech. Eng., vol. 5,no. 4, pp. 233-238, 2011.
17. S. Hong, M. Lee, J. Rios, and J. L. Speyer, "Observability analysis ofGPS aided INS," in Proc. 13th Int. Tech. Meeting Satellite Division Inst.Navigat., Sep. 2000, pp. 2618-2624.
18. I. Rhee, M. F. Abdel-Hafez, and J. L. Speyer, "On the observabilityof strapdown INS system during maneuvers," IEEE Trans. Aerosp.Electron. Syst., vol. 40, no. 2, pp. 526-536, Apr. 2004.