대한전기학회논문지:시스템및제어부문D (The Transactions of the Korean Institute of Electrical Engineers D)

대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지

접근 탄도미사일 추적시스템을 위한 좌표변환 확장강인칼만필터 설계

Design of a Coordinate-Transformation Extended Robust Kalman Filter for Incoming Ballistic Missile Tracking Systems

  • 발행 : 2003.01.01
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초록

A Coordinate-Transformation Extended Robust Kalman Filter (CERKF) designed in the Krein space is proposed, and then applied to a nonlinear incoming ballistic missile tracking system with parameter uncertainties. First, the Extended Robust Kalman filter (ERKF) is proposed to handle the nonlinearity of measurement equation which occurs whenever the polar coordinate system is transformed into the Cartesian coordinate system. Moreover, linearization error inevitably occurs and deteriorates the tracking performance, which is considerably reduced by the proposed CERKF. Through the simulation results, we show that the proposed CERKF, which uses the measurement coordinate system, has less RMS error than the previous ERKF which is designed in the Krein space using the Cartesian system. We also verify that the robustness and the stability of the proposed filter are guaranteed in two radars: the phased way radar and the scanning radar

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참고문헌

  1. M. Athans, R.P. Wishner, and A. Bertolini, 'Suboptimal state estimation for continuous-time nonlinear systems from discrete noisy measurements', IEEE Trans. Automat. Contr., Vol. AC-13, Oct. pp. 504-514, 1968
  2. R.K. Mehra, 'A comparison of several nonlinear filter for reentry vehicle tracking', IEEE Trans. Automat. Contr., Vol. AC-16, No. 4, pp. 307-319, 1971
  3. 이현석, 나원상, 진승희, 윤태성, 박진배, '확장강인칼만필터를 이용한 접근탄도미사일 추적시스템', 제어자동화시스템학회 학술대회(KACC), 2000
  4. G.M. Siouris, G. Chen and J. Wang, 'Tracking and incoming ballistic missile using and extended interval Kalman filter', IEEE Trans. Aero. Electro. Sys., Vol. 33, No. 1, pp. 232-239, 1997 https://doi.org/10.1109/7.570753
  5. 박성택, 'Nonlinear filtering techniques for radar tracking', 공학박사학위논문, 서울대학교, 1998
  6. D.P. Bertsekas and I.B. Rhodes, 'Recursive state estimation for set-membership description of uncertainty', IEEE Trans. Automat. Contr., Vol. 16, No. 2, pp. 117-128, 1971 https://doi.org/10.1109/TAC.1971.1099674
  7. I.R. Petersen and A. V. Savkin, Robust Kalman Filtering for Signal and Systems with Large Uncertainties, Birkhaser, 1999
  8. B. Hassibi, A.H.Sayed and T. Kailath, 'Linear estimation in Krein space-Part Ⅰ: Theory', IEEE Trans. Automatic Control, Vol. 41, pp.18-33, 1996 https://doi.org/10.1109/9.481605
  9. B. Hassibi, A.H.Sayed and T. Kailath, 'Linear estimation in Krein space-Part II: Applications', IEEE Trans. Automatic Control, Vol. 41, pp.34-49, 1996 https://doi.org/10.1109/9.481606