The Transactions of The Korean Institute of Electrical Engineers (전기학회논문지)

The Korean Institute of Electrical Engineers (대한전기학회)
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A Study on Passive Homing Trajectory for Maximizing Target Information

표적 정보량을 최대화하는 피동 호밍궤적에 관한 고찰

  • Ra, Won-Sang (School of Mechanical and Control Engineering, Handong Global University) ;
  • Shin, Hyo-Sang (School of Aerospace, Transport and Manufacturing, Cranfield University) ;
  • Jung, Bo-Young (School of Mechanical and Control Engineering, Handong Global University) ;
  • Whang, Ick-Ho (Department of Precision Guidance Control Technology, Agency for Defense Development)
  • Received : 2018.12.03
  • Accepted : 2018.12.22
  • Published : 2019.01.01
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Abstract

This paper deals with the problem of generating the energy optimal trajectory which is intended to enhance the target tracking performance of a passive homing missile. Noticing that the essence of passive target tracking is the range estimation problem, the target information gathered by passive measurements can be readily analyzed by introducing the range estimator designed in line-of-sight(LOS) frame. Moreover, for the linear filter structure of the suggested range estimator, the cost function associated with the target information is clearly expressed as a function of the line-of-sight rate. Based on this idea, the optimal missile trajectory maximizing the target information is obtained by solving the saddle point problem for an indefinite quadratic cost which consists of the target information and the energy. It is shown that, different from the previous heuristic approaches, the guidance command producing the optimal passive homing trajectory is produced by the modified proportional navigation guidance law whose navigation constant is determined by the weighting coefficient for target information cost.

Keywords

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그림 1 호밍 유도기하 Fig. 1 Engagement geometry

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그림 2 측정치 종류에 따른 상대거리 정보량 확보문제 Fig. 2 Range accuracy according to measurements.

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그림 3 가중계수 ω2에 따른 호밍 유도궤적 Fig. 3 Trajectory according to weighting factor ω2

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그림 4 유도기법에 따른 호밍 유도궤적 Fig. 4 Trajectory according to guidance laws

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그림 5 정보량 획득 효율성 Fig. 5 Efficiency of information acquisition

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그림 6 상대거리 추정성능 Fig. 6 Range estimation performance.

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그림 7 초기 헤딩오차에 대한 RMSE Fig. 7 RMSE for heading error.

표 1 시변 Hamiltonian 시스템의 해석 해 Table 1 Analytic solution of Hamiltonian system

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표 2 계수 ck, dk간의 관계 Table 2 Relationship between the coefficients ck and dk

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표 3 표적 요격조건 충족을 위한 고려사항 Table 3 Consideration for meeting the intercept condition

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표 4 모의실험 조건 Table 4 Simulation conditions

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