DOI QR코드

DOI QR Code

Modified RHKF Filter for Improved DR/GPS Navigation against Uncertain Model Dynamics

  • Cho, Seong-Yun (IT Convergence Technology Research Laboratory, ETRI) ;
  • Lee, Hyung-Keun (School of Electronics, Telecommunications and Computer Engineering, Korea Aerospace University)
  • Received : 2011.06.22
  • Accepted : 2011.12.27
  • Published : 2012.06.01

Abstract

In this paper, an error compensation technique for a dead reckoning (DR) system using a magnetic compass module is proposed. The magnetic compass-based azimuth may include a bias that varies with location due to the surrounding magnetic sources. In this paper, the DR system is integrated with a Global Positioning System (GPS) receiver using a finite impulse response (FIR) filter to reduce errors. This filter can estimate the varying bias more effectively than the conventional Kalman filter, which has an infinite impulse response structure. Moreover, the conventional receding horizon Kalman FIR (RHKF) filter is modified for application in nonlinear systems and to compensate the drawbacks of the RHKF filter. The modified RHKF filter is a novel RHKF filter scheme for nonlinear dynamics. The inverse covariance form of the linearized Kalman filter is combined with a receding horizon FIR strategy. This filter is then combined with an extended Kalman filter to enhance the convergence characteristics of the FIR filter. Also, the receding interval is extended to reduce the computational burden. The performance of the proposed DR/GPS integrated system using the modified RHKF filter is evaluated through simulation.

Keywords

References

  1. J.A. Farrell and M. Barth, The Global Positioning System & Inertial Navigation, New York: McGraw-Hill, 1999.
  2. L.R. Grewal, L.R. Weill, and A.P. Andrews, Global Positioning Systems, Inertial Navigation, and Integration, New York: John Wiley & Sons, Inc., 2001.
  3. B. Parkinson and P. Axelad, Global Positioning System: Theory and Applications, American Institute of Aeronautics and Astronautics, 1996.
  4. M.J. Caruso, "Applications of Magnetoresistive Sensors in Navigation System," SAE SP-1220, Feb. 1997, pp. 15-21.
  5. S.Y. Cho and C.G. Park, "Tilt Compensation Algorithm for 2-Axis Magnetic Compass," IEE Electron. Lett., vol. 39, no. 22, Oct. 2003.
  6. R.G. Brown and P.Y. Hwang, Introduction to Random Signals and Applied Kalman Filtering, New York: John Wiley & Sons, Inc.,1997.
  7. W.H. Kwon, P.S. Kim, and P.G. Park, "A Receding Horizon Kalman FIR Filter for Discrete Time-Invariant Systems," IEEE Trans. Autom. Control, vol. 44, no. 9, Sept. 1999, pp. 1787-1791. https://doi.org/10.1109/9.788554
  8. W.H. Kwon, P.S. Kim, and S.H. Han, "A Receding Horizon Unbiased FIR Filter for Discrete-Time State Space Models," Automatica, vol. 38, no. 3, Mar. 2002, pp. 545-551. https://doi.org/10.1016/S0005-1098(01)00242-4
  9. K.V. Ling and K.W. Lim, "Receding Horizon Recursive State Estimation," IEEE Trans. Autom. Control, vol. 44, no. 9, Sept. 1999, pp. 1750-1753. https://doi.org/10.1109/9.788546
  10. L. Danyand and L. Xuanhuang, "Optimal State Estimation without the Requirement of a Priori Statistics Information of the Initial State," IEEE Trans. Autom. Control, vol. 39, no. 10, Oct. 1994, pp. 2087-2091. https://doi.org/10.1109/9.328818
  11. H. Michalska and D.Q. Mayne, "Moving Horizon Observers and Observer Based Control," IEEE Trans. Autom. Control, vol. 40, no. 6, Jun. 1995, pp. 995-1006. https://doi.org/10.1109/9.388677
  12. J.B.R. do Val and E.F. Costa, "Stability of Receding Horizon Kalman Filter in State Estimation of Linear Time-varying Systems," Proc. IEEE Conf. Decision Control, Sydney, Australia, Dec. 2000.
  13. G.F. Trecate, D. Mignone, and M. Morari, "Moving Horizon Estimation for Hybrid Systems," IEEE Trans. Automatic Control, vol. 47, no. 10, Oct. 2002, pp. 1663-1676. https://doi.org/10.1109/TAC.2002.802772
  14. Y.S. Kim, S.L. Choi, and K.S. Hong, "A Suboptimal Algorithm for the Optimal Bayesian Filter Using Receding Horizon FIR Filter," Proc. IEEE ISIE, 2001, pp. 1860-1865.
  15. P.S. Kim, "Separate-Bias Estimation Scheme with Diversely Behaved Biases," IEEE Trans. Aerospace Electron. Syst., vol. 38, no, 1, Jan. 2002, pp. 333-339. https://doi.org/10.1109/7.993256
  16. G. Minkler and J. Minkler, Theory and Application of Kalman Filter, Palm Bay, FL: Magellan Book Co., 1993.

Cited by

  1. Observability and Estimation Error Analysis of the Initial Fine Alignment Filter for Nonleveling Strapdown Inertial Navigation System vol.135, pp.2, 2012, https://doi.org/10.1115/1.4007552
  2. 모델링 불확실성을 갖는 이산구조 비선형 시스템을 위한 유한 임펄스 응답 고정구간 스무딩 필터 및 DR/GPS 결합항법 시스템에 적용 vol.19, pp.5, 2012, https://doi.org/10.5302/j.icros.2013.12.1842
  3. Modified Unscented Kalman Filter for a Multirate INS/GPS Integrated Navigation System vol.35, pp.5, 2012, https://doi.org/10.4218/etrij.13.0212.0540
  4. IM-filter for INS/GPS-integrated navigation system containing low-cost gyros vol.50, pp.4, 2014, https://doi.org/10.1109/taes.2014.130128
  5. Co-Pilot Agent for Vehicle/Driver Cooperative and Autonomous Driving vol.37, pp.5, 2012, https://doi.org/10.4218/etrij.15.0114.0095
  6. Development of Steering Control System for Autonomous Vehicle Using Geometry-Based Path Tracking Algorithm vol.37, pp.3, 2012, https://doi.org/10.4218/etrij.15.0114.0123
  7. Vehicle Sideslip Angle Estimation Based on Hybrid Kalman Filter vol.2016, pp.None, 2012, https://doi.org/10.1155/2016/3269142
  8. Non‐linear FIR smoothing filter for systems with a modelling error and its application to the DR/GPS integrated navigation vol.12, pp.8, 2012, https://doi.org/10.1049/iet-rsn.2017.0551