Leg-by-leg机动条件下纯方位跟踪的观测站机动策略

doi:10.12305/j.issn.1001-506X.2021.09.06

Abstract

Abstract:

Aiming at the problem that the Fisher information matrix (FIM) cannot be calculated due to the unknown target distance before the observation station maneuvers, this paper proposes a method to calculate the FIM and then design the maneuver strategy from two aspects of roughly estimating the target initial distance and reducing the influence of rough estimation error on the determinant of FIM. Firstly, the system model is established in the modified polar coordinate system, and the calculation method of FIM in the leg-by-leg maneuver mode of observation station is described. Secondly, the initial state of the target is roughly estimated by assuming the target speed, and the target speed assumption method is proposed to minimize the error of the normalized initial distance rough estimation. Then, the determinant of FIM is approximated and expanded by polynomials, and the influence of state estimation error on the determinant of FIM is reduced by controlling the ratio of front and back leg segments. Finally, the feasibility and effectiveness of the proposed design method of maneuver strategy are verified by simulation. The results show that for the typical underwater target tracking scene, the effective estimation probability of FIM determinant is 76.7%, and the average relative estimation error is 0.12.

Key words: maneuver strategy, bearing-only tracking, leg-by-leg maneuver, modified polar coordinate, Fisher information matrix

CLC Number:

TB566

Chang XI, Zhiming CAI, Jun YUAN. Observer maneuver strategy for leg-by-leg bearing-only tracking[J]. Systems Engineering and Electronics, 2021, 43(9): 2413-2421.

Figures/Tables 7

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References 22

1	LIU P T . An optimum approach in target tracking with bearings measurements[J]. Journal of Optimization Theory and Applications, 1987, 56 (2): 205- 214. doi: 10.1007/BF00939407
2	HAMMEL S E , LIU P T , HILLIARD E J , et al. Optimal observer motion for localization with bearing measurements[J]. Computers and Mathematics with Applications, 1989, 18 (1): 171- 180.
3	TAFF L G . Target localization from bearings-only observations[J]. IEEE Trans.on Aerospace and Electron System, 1997, 33 (1): 2- 10. doi: 10.1109/7.570703
4	OSHMAN Y , DAVIDSON P . Optimization of observer trajectories for bearings-only target localization[J]. IEEE Trans.on Aerospace and Electron System, 1999, 35 (5): 892- 902.
5	董志荣. 纯方位系统定位与跟踪的本载体最优轨线方程及其最优轨线[J]. 指挥控制与仿真, 2007, 29 (1): 7- 15. doi: 10.3969/j.issn.1673-3819.2007.01.002
	DONG Z R . The own ship maneuvering trajectory equations and optimal trajectory of bearing-only systems locating and tracking[J]. Command Control & Simulation, 2007, 29 (1): 7- 15. doi: 10.3969/j.issn.1673-3819.2007.01.002
6	许志刚. TMA中不完全量测估计与观测平台机动模式研究[D]. 南京: 南京理工大学, 2009.
	XU Z G. State estimation with incomplete measurements and observer platform maneuver model for TMA[D]. Nanjing: Nanjing University of Science & Technology, 2009.
7	李洪瑞. 水下目标运动分析关键技术研究[D]. 南京: 南京理工大学, 2009.
	LI H R. Research on some key technologies of underwater target motion analysis[D]. Nanjing: Nanjing University of Science & Technology, 2009.
8	SABET M T , FATHI A R , MOHAMMADI H R . Optimal design of the own ship maneuver in the bearing-only target motion analysis problem using a heuristically supervised extended Kalman filter[J]. Ocean Engineering, 2016, 123, 146- 153. doi: 10.1016/j.oceaneng.2016.07.028
9	PASSERIEUX J M , VAN C D . Optimal observer maneuver for bearings-only tracking[J]. IEEE Trans.on Aerospace and Electronic Systems, 1998, 34 (3): 777- 788. doi: 10.1109/7.705885
10	刘忠, 王航宇, 张洪向. 纯方位定位中的"Legs"机动方式与系统的可观测性[J]. 火力与指挥控制, 1998, 23 (4): 22- 25.
	LIU Z , WANG H Y , ZHANG H X . "Legs" maneuver mode and observability for bearing-only location system[J]. Fire Control & Command Control, 1998, 23 (4): 22- 25.
11	LE C J P. Optimization of the observer motion for bearings-only target motion analysis[C]//Proc. of the 36th Conference on Decision and Control, 1997: 3126-3131.
12	LE C J P , JAUFFRET C . Discrete-time observability and estimability analysis for bearings-only target motion analysis[J]. IEEE Trans.on Aerospace and Electronic Systems, 1997, 33 (1): 178- 201. doi: 10.1109/7.570737
13	LE C J P , LAURENT M S . Optimizing the receiver maneuvers for bearings-only tracking[J]. Automatica, 1999, 35 (4): 591- 606. doi: 10.1016/S0005-1098(98)00183-6
14	FAWCETT J A . Effect of course maneuvers on bearings-only range estimation[J]. IEEE Trans.on Acoustics, Speech and Signal Processing, 1988, 36 (8): 1193- 1199. doi: 10.1109/29.1648
15	FAWCETT J A . TMA performance for towed arrays of low maneuverability[M]. Underwater Acoustic Data Processing. Netherlands: Springer, 1989: 467- 472.
16	AIDALA V J , HAMMEL S E . Utilization of modified polar coordinates for bearings-only tracking[J]. IEEE Trans.on Automatic Control, 1983, 28 (3): 283- 294. doi: 10.1109/TAC.1983.1103230
17	BALAKRISHNAN S N . Extension to modified polar coordinates and applications with passive measurements[J]. Journal of Guidance, Control, and Dynamics, 1989, 12 (6): 906- 912. doi: 10.2514/3.20499
18	LANEUVILLE D, JAUFFRET C. Recursive bearings-only TMA via unscented Kalman filter: cartesian vs. modified polar coordinates[C]//Proc. of the International Conference on Aerospace, 2008.
19	JOHNSON G W, COHEN O, OHLMS D, et al. Modified polar coordinates for ranging from Doppler and bearing mea-surements[C]//Proc. of the International Conference on Acous-tics, Speech and Signal Processing, 1983: 907-910.
20	刘忠, 周丰, 石章松, 等. 纯方位目标运动分析[M]. 北京: 国防工业出版社, 2009.
	LIU Z , ZHOU F , SHI Z S , et al. Bearings-only target motion analysis[M]. Beijing: National Defense Industry Press, 2009.
21	胡友峰. 非机动水下三维被动目标运动分析研究[D]. 西安: 西北工业大学, 2002.
	HU Y F. Research on underwater passive target motion analysis in three dimensions without maneuver[D]. Xi'an: Northwestern Polytechnical University, 2002.
22	刘忠. 单静止站纯方位系统的可观测性与目标参数估计算法[J]. 海军工程大学学报, 2001, 13 (5): 20- 23. doi: 10.3969/j.issn.1009-3486.2001.05.006
	LIU Z . Observability analysis and target parameter estimation algorithm for stationary single observer bearings-only system[J]. Journal of Naval University of Engineering, 2001, 13 (5): 20- 23. doi: 10.3969/j.issn.1009-3486.2001.05.006

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Observer maneuver strategy for leg-by-leg bearing-only tracking

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