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Strategic Study of CAE >> 2007, Volume 9, Issue 11

A Survey of the Observability for Single Observer Passive Location

College of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China

Funding project:国家自然科学基金资助项目(69901005) Received: 2007-01-31 Revised: 2007-04-01

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Abstract

A basic requirement for passive state estimation using single observer is the existence of a unique tracking solution.  This leads to the question of observability. The target state is observable over the time interval if,  and only if,  it is uniquely determined by the measurements taken in that interval.  In this paper,  the state-observability problem for passive target tracking by angle measurements is analyzed using three methods: the geometrical method,  the elementary algebraic method and linear system method.  The observability for target tracking with frequency measurements is also analyzed.  Degree of observability is discussed.  And a concise review of papers on observability analysis is presented.

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References

[ 1 ] Hermann R, Krener A J. Nonlinear controllability and observability [ J] .IEEE Trans on Automat Contr, 1977 , 22 ( 5 ) : 728 ~740 link1

[ 2 ] Lindgren A G, Gong K F.Position and velocity estimation via bearing observation [ J] .IEEE Trans on Aerosp Electron Syst, 1978 , 14 ( 4 ) : 564 ~577 link1

[ 3 ] Nardone S C, Aidala V J.Observability criteria for bearings -only target motion analysis [ J] .IEEE Trans on Aerosp Electron Syst, 1981 , 17 ( 2 ) : 162 ~166 link1

[ 4 ] Hammel S E, Aidala V J.Observability requirements for three dimensional tracking via angle measurements [ J] .IEEE Trans on Aerosp Electron Syst, 1985 , 21 ( 2 ) : 200 ~207 link1

[ 5 ] Fogel E, Gavish M.Nth-order dynamics target observability from angle measurements [ J] .IEEE Trans on Aerosp Electron.Syst, 1988 , 24 ( 3 ) : 305 ~308 link1

[ 6 ] Song T L. Observability of target tracking with bearings-only measurements [ J] .IEEE Trans on Aerosp Electron Syst, 1996 , 32 ( 4 ) : 1468 ~1471 link1

[ 7 ] Gad A, Mojia F, Farooq M.Geometric approach to target tracking analysis in bearing -only tracking [ A ] .SPIE -4729 [ C ] . 2002.1 ~12

[ 8 ] Rao S K.Comments on discrete-time observability and estimability analysis for bearings-only target motion analysis [ J] .IEEE Trans on Aerosp Electron Syst, 1998 , 34 ( 4 ) : 1361 ~1367 link1

[ 9 ] Becker K.A General approach to TMA observability from angle and frequency measurements [ J] .IEEE Trans on Aerosp Electron Syst, 1996 , 32 ( 1 ) : 487 ~494 link1

[10] Janffret C, Pillon D.New observability criterion in target motionanalysis [ A] .NATO ASI [ C] .Kingston, Canada, 1988.479 ~484 link1

[11] Payne A N.Observability problem for bearings-only tracking [ J] .Int J Contr, 1989 , 49 ( 3 ) : 761 ~768 link1

[12] Becker K.Simple linear theory approach to TMA observability [ J] .IEEE Trans on Electron Syst, 1993 , 29 ( 2 ) : 575 ~578 link1

[13] Ghalia M B, Alouani A T.Observability requirements for passive target tracking [ A ] .25th Southeastern Symposium on System theory [ C] .1993.253 ~257 link1

[14] Janffret C, Pillon D. Observability in passive target motion analysis [ J ] .IEEE Trans on Aerosp Electron Syst, 1996 , 32 ( 4 ) : 1290 ~1300 link1

[15] Shar P, Li X R. A practical approach to observability of bearings-only target tracking [ A ] . Proceedings of SPIE Vol 3809 , 1999 : 514 -520

[16] Li X R, Jilkov V P.Survey of maneuvering target tracking, Part 1 : dynamic medels [ J] .IEEE Trans on Aerosp Electron Syst, 2003 , 39 ( 4 ) : 1333 ~1364

[17] 李保全,陈维远.线性系统理论[M].北京:国防工业出版社,1997

[18] 王朝瑞,史荣昌.矩阵分析[M].北京:北京理工大学出版社,1993

[19] Cadre J P L, Jauffret C. Discrete-time observability and estimability analysis for bearings-only target motion analysis [ J] . IEEE Trans on Aerosp Electron Syst, 1997 , 33 ( 1 ) : 178 ~201 link1

[20] 周春阳,周国标.方位-多普勒频率合成TMA的可测性分析[J].战术导弹技术,2005,(5):17~20 link1

[21] Fawcett J A.Effect of course maneuver on bearings-only range estimation [ J ] . IEEE Trans on Acoust, Speech and Signal Process, 1988 , 36 ( 8 ) : 1193 ~1199 link1

[22] Jauffret C, Musso C J.New results in target motion analysis [ A] .Proceedings of Underwater Defense Technology Conference [ C] .Paris, May 1991.239 ~244

[23] Kay S M. Fundamentals of statistical signal processing: Estimation theory [ M] .Prentice Hall PTR, 1993

[24] Liu P T.An optimum approach in target tracking with bearing measurements [ J] .Optim Theory Applic, 1988 , 50 ( 2 ) : 205 ~ 214 link1

[25] Hammel S E, Liu P T.Optimal observer motion for localization with bearings measurements [ J ] . Computers Math Applic, 1989 , 18 ( 1—3 ) : 171 ~18 link1

[26] Passerieux J M, Van Cappel D.Optimal observer maneuver for bearings-only tracking [ J ] . IEEE Trans on Aerosp Electron Syst, 1998 , 34 ( 3 ) : 777 ~788. link1

[27] Krohhamn T R.Bearings -only target motion analysis based on a multi-hypothesis Kalman filter and adaptive ownship motion control [ J] .IEE Proc Radar, Sonar Navig, 1998 , 145 ( 4 ) : 247 ~252 link1

[28] Lee T S, Dunn K P, Chang C B.On observability and unbiased estimation of nonlinear systems [ A] .Proc of 10th IFIP conf on Systems Modeling and Optimization [ C] .NewYork, 1982 link1

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