DOI QR코드

DOI QR Code

Integrated Algorithm for Identification of Long Range Artillery Type and Impact Point Prediction With IMM Filter

IMM 필터를 이용한 장사정포의 탄종 분리 및 탄착점 예측 통합 알고리즘

  • Jung, Cheol-Goo (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology) ;
  • Lee, Chang-Hun (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology) ;
  • Tahk, Min-Jea (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology) ;
  • Yoo, Dong-Gil (Radar R&D Lab, LIG Nex1) ;
  • Sohn, Sung-Hwan (Radar R&D Lab, LIG Nex1)
  • Received : 2022.03.16
  • Accepted : 2022.07.05
  • Published : 2022.08.01

Abstract

In this paper, we present an algorithm that identifies artillery type and rapidly predicts the impact point based on the IMM filter. The ballistic trajectory equation is used as a system model, and three models with different ballistic coefficient values are used. Acceleration was divided into three components of gravity, air resistance, and lift. And lift acceleration was added as a new state variable. The kinematic condition that the velocity vector and lift acceleration are perpendicular was used as a pseudo-measurement value. The impact point was predicted based on the state variable estimated through the IMM filter and the ballistic coefficient of the model with the highest mode probability. Instead of the commonly used Runge-Kutta numerical integration for impact point prediction, a semi-analytic method was used to predict impact point with a small amount of calculation. Finally, a state variable initialization method using the least-square method was proposed. An integrated algorithm including artillery type identification, impact point prediction and initialization was presented, and the validity of the proposed method was verified through simulation.

본 논문에서는 IMM 필터 기반으로 장사정포의 탄종을 식별하고 탄착점을 신속하게 예측하는 알고리즘을 제시한다. 탄도궤적 방정식을 시스템 모델로 사용하고, 각각 다른 탄도계수 값을 갖는 3가지 모델을 IMM 필터에 적용한다. 가속도를 중력, 공기저항, 양력에 의한 3가지 성분으로 나누고 양력가속도를 새로운 상태변수로 추가하여 추정한다. 속도벡터와 양력가속도가 수직이라는 운동학 조건을 유사 측정값으로 추가한 측정방정식을 다룬다. IMM 필터를 통해 추정된 상태변수와 모드 확률이 가장 높은 모델의 탄도계수를 기반으로 탄착점을 예측한다. 탄착점 예측을 위해 일반적으로 사용되는 룽게-쿠타 수치적분 대신, 준해석적인 방법을 사용하여 적은 계산량으로 탄착점을 예측할 수 있음을 설명한다. 마지막으로 최소제곱법을 이용한 상태변수 초기화 방법에 대해 제안하고 성능을 확인하였다. 탄종식별, 탄착점 예측 및 초기화를 포함한 통합 알고리즘을 제시하고 시뮬레이션을 통해 제안한 방법의 타당성을 검증하였다.

Keywords

Acknowledgement

본 연구는 LIG Nex1의 "장사정포 탐지/추적 필터 및 동시표적 추적 알고리즘 개발" 위탁연구 지원에 의해 수행 되었습니다(계약번호: Y21-C002).

References

  1. Lee, D. G., Cho, K. S., Shin, J. H. and Kim, J. E., "An analysis study about relationship between ballistic coefficient and accuracy of predicted intercept point of super-high speed targets," Journal of the Korea Institute of Military Science and Technology, Vol. 17, No. 2, 2014, pp. 265~274. https://doi.org/10.9766/KIMST.2014.17.2.265
  2. Hardiman, D. F., Kerce, J. C. and Brown, G. C., "Nonlinear estimation techniques for impact point prediction of ballistic targets," Signal and Data Processing of Small Targets, Vol. 6236, 2006, pp. 99~110.
  3. Uhm, T. W., "Algorithm and simulation system to calculate the impact point of general bomb," Proceeding of Institute of Control, Robotics and Systems Conference, July 2012, pp. 994~1001.
  4. Jung, J. K. and Hwang, D. H., "The novel impact point prediction of a ballistic target with interacting multiple models," Proceeding of International Conference on Control, Automation and Systems Conference, October 2013, pp. 450~453.
  5. Jung, J. K. and Hwang, D. H., "Impact Point Prediction of the Ballistic Target Using a Flight Phase Discrimination," The Korea Institute of Military Science and Technology, Vol. 18, No. 3, 2015, pp. 234~243. https://doi.org/10.9766/KIMST.2015.18.3.234
  6. Moon, K. R., Kim, T. H. and Song, T. L., "Comparison of ballistic-coefficient-based estimation algorithms for precise tracking of a re-entry vehicle and its impact point prediction," Journal of Astronomy and Space Sciences, Vol. 29, No. 4, 2012, pp. 363~374. https://doi.org/10.5140/JASS.2012.29.4.363
  7. Tahk, M. J. and Speyer, J. L., "Target tracking problems subject to kinematic constraints," IEEE transactions on automatic control, Vol. 35, No. 3, 1990, pp. 324~326. https://doi.org/10.1109/9.50348
  8. Chudinov, P. S., "Approximate analytical investigation of projectile motion in a medium with quadratic drag force," International Journal of Sports Science and Engineering, Vol. 5, No. 1, 2011, pp. 27~42.