Journal of the Korean Society for Aeronautical & Space Sciences (한국항공우주학회지)

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Range Estimation Algorithm Based on Triangulation Using Angle Measurements

각도 측정치를 이용한 삼각 측량법 기반 거리 추정 알고리즘

  • Received : 2019.12.22
  • Accepted : 2020.03.30
  • Published : 2020.04.01
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Abstract

The remaining range between missile and target can be used to calculate the guidance command as well as to determine the explosion time of the warhead. Since the range, however, is not directly measured by on-board sensors of the missile, it is usually estimated by filter-based techniques using angle-only measurements. Conventional filter-based techniques are complex and require huge computation. In this paper, we propose a range estimation algorithm based on the geometrical triangulation principle for two points of missiles and a target. The proposed algorithm has a simple structure but the accuracy is largely dependent on the measurement errors. To improve the accuracy of estimation, Digital Fading Memory Filter (DFMF) is applied. The performance of the proposed algorithm is analyzed through numerical simulations.

유도탄과 표적 사이의 거리는 유도명령을 산출, 탄두의 폭발 시간을 결정하는데 활용 가능하다. 거리는 유도탄의 온보드 센서에 의해 직접 측정되지 않기 때문에 일반적으로 각도정보를 이용하여 필터기반 기법을 통해 이를 추정한다. 그러나 기존의 필터 기반의 기법들은 복잡하고 많은 연산량을 요구하는 단점이 있다. 본 논문에서는 유도탄의 두 지점과 표적에 대한 기하관계를 이용하여 삼각 측량법에 기반한 거리 추정 알고리즘을 제안한다. 제안된 알고리즘은 단순한 구조를 가지며 측정 오차에 의해 추정 성능이 크게 좌우된다. 추정의 정확도 향상을 위해 Digital Fading Memory Filter(DFMF)를 적용하였으며 수치 시뮬레이션을 통해 성능을 분석하였다.

Keywords

References

  1. Ryoo, C. K., Cho, H., and Tahk, M., "Time-to-Go Weighted Optimal Guidance with Impact Angle Constraints," IEEE Transactions on Control Systems Technology, Vol. 14, No. 3, 2006, pp. 483-492. https://doi.org/10.1109/TCST.2006.872525
  2. Jeon, I. S., Lee, J. I., and Tahk, M. J., "Guidance Law to Control Impact Time and Angle," IEEE Transactions on Aerospace and Electronic Systems, Vol. 43, No. 1, 2007, pp. 301-310. https://doi.org/10.1109/TAES.2007.357135
  3. Harl, H., and Balakrishnan, S. N., "Impact Time and Angle Guidance With Sliding Mode Control," IEEE Transactions on Control System Technology, Vol. 20, No. 6, 2012, pp. 1436-1449. https://doi.org/10.1109/TCST.2011.2169795
  4. Whang, I. H., Kim, B. M., Kim, J., Kin, H., and Sang, D. G., "Relative Range Estimation using Homing Trajectory," Proceeding of Information and Control Symposium, October 2017, pp. 314-315.
  5. Karlsson, R., and Gustafsson, F., "Range estimation using angle-only target tracking with particle filters," Proceeding of the American Control Conference, June 2001, pp. 3743-3748.
  6. Guvenc, S. K., "Range To-Go Estimation for a Tactical Missile with a Passive Seeker," Master Thesis, METU, Ankara, Turkey, 2015.
  7. Pieper, R. J., Cooper, A. W., and Pelegris, R., "Passive Range Estimation using Dual-baseline Triangulation," Optical Engineering, March 1996, pp. 685-692.
  8. Paul, Z., Tactical and Strategic Missile Guidance, 4th Ed., AIAA, pp. 119-141.