Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-06-01T03:25:03.327Z Has data issue: false hasContentIssue false

Neural Network Aided Adaptive Filtering and Smoothing for an Integrated INS/GPS Unexploded Ordnance Geolocation System

Published online by Cambridge University Press:  23 February 2010

Jong Ki Lee*
Affiliation:
(The Ohio State University)
Christopher Jekeli
Affiliation:
(The Ohio State University)
*

Abstract

The precise geolocation of buried unexploded ordnance (UXO) is a significant component of the detection, characterization, and remediation process. Traditional geolocation methods associated with these procedures are inefficient in helping to distinguish buried UXO from relatively harmless geologic magnetic sources or anthropic clutter items such as exploded ordnance fragments and agricultural or industrial artefacts. The integrated INS/GPS geolocation system can satisfy both high spatial resolution and robust, uninterrupted positioning requirements for successful UXO detection and characterization. To maximize the benefits from this integration, non-linear filtering strategies (such as the unscented Kalman filter) have been developed and tested using laboratory data. In addition, adaptive filters and smoothers have been designed to address variable or inaccurate a priori knowledge of the process noise of the system during periods of GPS unavailability. In this paper, we study and compare the improvement in the geolocation accuracy when the neural network approach is applied to aid the adaptive versions of the extended Kalman filter (EKF) and the unscented Kalman filter (UKF). The test results show that the neural network based filters can improve overall position accuracy and can homogenize the performance of the integrated system over a range of relatively quiet to dynamic environments. Navigation-grade and medium-grade IMUs were compared and, with standard smoothing applied to the new filters, geolocation accuracy of 5 cm (13 cm) was achieved with the navigation- (medium-) grade unit within 8-second intervals that lack external control, which is at or close to the area-mapping accuracy requirement for UXO detection.

Type
Research Article
Copyright
Copyright © The Royal Institute of Navigation 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Anderson, B.D.O and Moore, J.B. (1979), Optimal Filtering, Prentice Hall, 1979Google Scholar
Bell, T. (2001), “Subsurface discrimination using electromagnetic induction sensors”, IEEE Trans Geosci Remote Sens 39: 12861293.Google Scholar
Bell, T. (2005), “Geo-location Requirements for UXO Discrimination”, Presented at SERDP & ESTCP Geolocation Workshop, 1–2 June 2005, Annapolis, MD.Google Scholar
Bishop, C.M. (1995), Neural Networks for Pattern Recognition, London, Oxford University Press.Google Scholar
Brown, R. G. and Hwang, P. Y. C.. (1992), Introduction to Random Signals and Applied Kalman Filtering, Second Edition, John Wiley & Sons, Inc., 1992.Google Scholar
Cawsey, A (1998), The Essence of Artificial Intelligence, Prentice Hall PTRGoogle Scholar
Chiang, K. W. and El-Sheimy, N. (2004), Performance analysis of a neural network based INS/GPS integration architecture for land vehicle navigation, CD proceedings of the 4th international symposium on Mobile Mapping Technology, Kunming, China.Google Scholar
Collins, LM, Zhang, Y, Li, J, Wang, H, Carin, L, Hart, S, Rose-Pehrsson, S, Nelson, H, McDonald, J (2001), “A comparison of the performance of statistical and fuzzy algorithms for unexploded ordnance detection:, Special issue on Recognition Technology, IEEE Trans Fuzzy Systems 9(1): 1730.CrossRefGoogle Scholar
Defense Science Board (2003): Report of the Defense Science Board Task Force on UnexplodedOrdnance. Office of the Under Secretary of Defense for Acquisition, Technology, and Logistics, Washington, D.C. 20301-3140, December 2003.Google Scholar
Demuth, H. and Beale, M. (2004): Neural network toolbox for use with Matlab, The MathWorks, Natick, MA.Google Scholar
Golden, R. M. (1996), Mathematical Methods for Neural Network Analysis and Design, MIT Press.Google Scholar
Gordon, N., Salmond, D., and Smith, A.F.M. (1993), “Novel approach to nonlinear and nongaussian state estimation”, Proc. Inst. Elect. Eng., F, Vol 140, pp. 107113. 1993.Google Scholar
Hagan, M. T., Demuth, H. B., and Beale, M. H. (2004), Neural Network Design, India Ed., CENGAGE Learning.Google Scholar
Ham, F.M. and Kostanic, I. (2001), Principles of Neurocomputing for Science and Engineering, McGraw-Hill.Google Scholar
Haykin, S. (1999), Neural Networks: A Comprehensive Foundation (2nd Edition), Prentice Hall, New Jersey, 1999.Google Scholar
Haykin, S. (2001), Kalman Filtering and Neural Networks, John Wiley & Sons, Inc., New York, 2001.Google Scholar
Honavar, V. and Uhr, L. (1994), Artificial Intelligence and Neural Networks: Steps Towrard Principled Integration, Boston Academic Press.Google Scholar
Jekeli, C. (2000), Inertial Navigation Systems with Geodetic Applications. Walter deGruyter, Inc., Berlin, 2000.Google Scholar
Julier, S.J., Uhlmann, J.K., Durrant-Whyte, H.F. (1995), “A new approach for filtering nonlinear systems”. In Proceedings of the American Control Conference, Seattle, WA, pp. 16251632, 1995.Google Scholar
Julier, S.J., Uhlmann, J.K. (1996), A general method for approximating nonlinear transformations of probability distributions. Technical report, Department of Engineering Science, University of Oxford, Oxford, England, 1996.Google Scholar
Julier, S.J., Uhlmann, J.K., and Durrant-Whyte, H.F. (2000), “A new approach for nonlinear transformations of means and covariances in filters and estimators”, IEEE Transactions on Automatic Control, 45(3), 477482, 2000.Google Scholar
Jwo, D.H. and Huang, H.C. (2004), “Neural network aided adaptive extended Kalman filtering approach for DGPS positioning”, Journal of Navigation, 57, 449463.CrossRefGoogle Scholar
Kalman, R.E. (1960), “A New Approach to Linear Filtering and Prediction Problems”, Transactions of the ASME–Journal of Basic Engineering, Vol. 82, Num. Series D, Pages 3545, 1960.Google Scholar
Korniyenko, O.V.Sharawi, M.S.Aloi, D.N., (2005) Neural Network Based Approach for Tuning Kalman Filter Electro Information Technology, 2005 IEEE International Conference on, Publication Date: 2225 May 2005, On page(s): 15Google Scholar
Lee, J.K., Jekeli, C. (2009): Improved Filter Strategies for Precise Unexploded Ordnance Geolocation using IMU/GPS integration. Journal of Navigation, 62, 365382.CrossRefGoogle Scholar
Lee, J.K., Jekeli, C., and Hayal, A. (2008): Nonlinear Filter Based Smoothing Methods for MEC Detection. Presented at Partners in Environmental Technology Technical Symposium and Workshop, 2–4 December 2008, Washington, D.C.Google Scholar
Maybeck, P. S., 1979: Stochastic models, estimation and control: Academic Press, New YorkGoogle Scholar
Nassar, S. (2003): Improving the Inertial Navigation System (INS) Error Model for INS and INS/DGPS Applications. Ph.D. Thesis, University of Calgary, UCGE Report No.20183.Google Scholar
Salychev, O. (1999), Inertial Systems in Navigation and Geophysics, Bauman MSTU Press, Moscow, 1999.Google Scholar
Sarkka, S. (2008), Unscented Rauch-Tung-Striebel Smoother, Automatic Control, IEEE Transactions on Volume 53, Issue 3, April 2008 Page(s):845849.Google Scholar
Shin, E.H. (2005), Estimation Techniques for Low-Cost Inertial Navigation. Ph.D. Thesis, University of Calgary, UCGE Report 20219, 2005.Google Scholar
Song, Q. and Han, J.D. (2008), An Adaptive UKF Algorithm for the State and Parameter Estimations of a Mobile Robot, Acta Automatica Sinica, Volume 34, Issue 1, January 2008, Pages 7279CrossRefGoogle Scholar
St-Pierre, M., Gingras, D. (2004), “Comparison between the unscented Kalman filter and the extended Kalman filter for the position estimation module of an integrated navigation information system”. IEEE Intelligent Vehicles Symposium, 14–17 June 2004, pp. 831835.Google Scholar
Tarokh, A.B., Miller, E.L., Won, I.J. and Huang, H. (2004), “Statistical classification of buried objects from spatially sampled time or frequency domain electromagnetic induction data,” Radio Science, Vol 39, Np. 4, July/August, 2004, p RS4S05-1-RS4S05-11CrossRefGoogle Scholar
U.S. Army Corps of Engineers (2006), Innovative navigation systems to support digital geophysical mapping ESTCP #200129, Phase III APG demonstrations and Phase IV development. Final Report, 17 February 2006, U.S. Army Corps of Engineers, Engineering and Support Center, Huntsville, AL.Google Scholar
Van der Merwe, R., Wan, E. (2004), “Sigma-Point Kalman Filters for Integrated Navigation”, Proceedings of the 60th Annual Meeting of the Institute of Navigation (ION), Dayton, Ohio, June 2004.Google Scholar
Wan, E. A., Van Der Merwe, R. (2001), The unscented Kalman filter. Chapter 7 in: Simon, Haykin (Ed.), Kalman Filtering and Neural Networks, John Wiley & Sons, New York, 2001.Google Scholar
Wang, J.J.; Wang, J.; Sinclair, D. and Watts, L. (2006), “A neural network and Kalman filter hybrid approach for GPS/INS integration”, 12th IAIN Congress & 2006 Int. Symp. on GPS/GNSS, Jeju, Korea, 18–20 October, 277–282.Google Scholar
Wang, J.J., Ding, W., & Wang, J., (2007), “Improving adaptive Kalman Filter in GPS/SDINS integration with neural network”, 20th Int. Tech. Meeting of the Satellite Division of the U.S. Inst. of Navigation, Fort Worth, Texas, 25–28 September, 571578.Google Scholar
Welch, G., and Bishop, G., 2001: An Introduction to the Kalman Filter, Chapel Hill. SIGGRAPHGoogle Scholar
Yi, Y., Grejner-Brzezinska, D.A. (2006), “Tightly-coupled GPS/INS Integration Using Unscented Kalman Filter and Particle Filter”, ION GNSS 19th International Technical Meeting of the Satellite Division, 26–29 September 2006, pp. 21822191.Google Scholar
Zhan, R.; Wan, J. (2006), “Neural network-aided adaptive unscented Kalman filter for nonlinear state estimation”, Signal Processing Letters, IEEE Volume 13, Issue 7, July 2006 Page(s):445448CrossRefGoogle Scholar
Zhang, Y, Collins, LM, Yu, H, Baum, C, Carin, L (2003) “Sensing of unexploded ordnance with magnetometer and induction data: theory and signal processing”, IEEE Trans Geosc Remote Sens 41(5): 10051015.Google Scholar