Tracking Filter Design for a Maneuvering target Using Jump Processes

  • Published : 1998.06.01

Abstract

This paper presents a maneuvering target model with the maneuver dynamics modeled as a jump process of Poisson-type. The jump process represents the deterministic maneuver(or pilot commands) and is described by a stochastic differential equation driven by a Poisson process taking values a set of discrete states. Employing the new maneuver model along with the noisy observations described by linear difference equations, the author has developed a new linear, recursive, unbiased minimum variance filter, which is structurally simple, computationally efficient, and hence real-time implementable. Futhermore, the proposed filter does not involve a computationally burdensome technique to compute the filter gains and corresponding covariance matrices and still be able to track effectively a fast maneuvering target. The performance of the proposed filter is assessed through the numerical results generated from the Monte-Carlo simulation.

Keywords

References

  1. Tracking and Data Association Y.Bar Shalom;T.Fortmann
  2. Studies in the Theory of Random processes A.V.Skorohod
  3. Stochastic Processes and Filtering Theory A.H.Jazwinski
  4. Applied Optimal Estimation A.Gelb
  5. IEEE Trans. on Aerospace and Electronic Systems, AES-6 Estimating Optimal Tracking Filter Performance for Manned Maneuvering Targets R.A.Singer
  6. IEEE Trans. on Aerospace and Electronic Systems, AES-9 A Decision Directed Adaptive Tracker R.J.McAulay;E.J.Denlinger
  7. IEEE Trans. on Aerospace and Electronic Systems, AES-9 Optimal Tracking of Maneuvering Targets J.S.Thorp
  8. IEEE Trans. on Automatic Control, AC-22 On the State and Parameter Estimation for maneuvering Reentry Vehicle C.B.Chang;R.H.Whitning;M.Athnas
  9. IEEE Trans. on Aerospace and Electronic Systems, AES-18 Variable Dimension Filter for Maneuvering Target tracking Y.Bar Shalom;K.Birmiwal
  10. IEEE Trans. on aerospace and Electronic Systems, AES-23 Tracking a Maneuvering Target using Input Estimation P.L.Bogler
  11. IEEE Trans. on Automatic Control, AC-33 The Interacting Multiple-Model Algorithm for Systems with Markovian Switching Coefficients H.A.P.Blom;Y.Bar Shalom
  12. IEEE Trans. on Aerospace and Electronic Systems, AES-25 Tracking a Maneuvering Target using Input Estimation Versus the Interacting Multiple Model Algorithm Y.Bar Shalom;K.C.Chang;H.A.P.Blom
  13. IEEE Trans. on Aerospace and Electronic Systems, AES-8 Linear Regression Filtering and Prediction for Tracking Maneuvering Aircraft Vehicles K.Spingarn;H.L.Weidemann
  14. IEEE Trans. on Aerospace and Electronic Systems, AES-9 Unsupervised Tracking of Maneuvering Vehicles R.L.T.Hampton;J.R.Cooke
  15. IEEE Trans. on Aerospace and Electronic Systems, AES-15 A Kalman Filter Based Tracking Scheme with Input Estimation Y.T.Chan;A.G.C.Hu;J.B.Plant
  16. IEEE Trans. on Aerospace and Electronic Systems, AES-15 Modeling and Estimation for Tracking Maneuvering Target Problem R.L.Moose;H.F.Vanlandingham;D.H.McCabe
  17. IEEE Trans. on Aerospace and Electronic Systems, AES-26 Information Type Filters for Tracking Maneuvering Target M.Farooq;S.Bruder
  18. IEEE Trans. on Aerospace and Electronic Systems, AES-13 Maneuvering Targer Tracking Using Adaptive State Estimation N.H.Gholson;R.L.Moose
  19. IEEE Trans. on Aerospace and Electronic Systems, AES-14 Adaptive Tracking Filter for Maneuvering Targets G.C.Ricker;J.R.Williams
  20. IEEE Trans. on Aerospace and Electronic Systems, AES-23 Maneuvering Target tracking with Hypothesis Testing K.Demirbas
  21. Report for Defence Research Establishment Ottawa Continuation of the Study of Discontinuous Jump Processes in Omega and Loran-C Radio Signals N.U.Ahmed;S.S.Lim
  22. IEEE Trans. on Aerospace and Electronic Systems, AES-24 Filtering of Discontinuous Process Arising in Marine Integrated Navigation Systems T.E.Dabbous;N.U.Ahmed;J.C.McMillan;D.F.Liang
  23. SIAM J. of Control. v.13 Martingales on Jump Processes II: Applications P.Boel;P.Varaiya;E.Wong
  24. IEEE Trans. on Information Theory, IT-24 no.1 Estimation and Decision for Observation Derived from Martingales: Part II M.V.Vaca;D.Snyder
  25. Statistics of Random Processes R.S.Lopster;A.N.Shiryayev