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

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
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Characteristic of ZEM Based Guidance Law with Time-to-go Estimation Methods

잔여시간 추정에 따른 ZEM 기반 유도법칙의 특징

  • Received : 2019.03.12
  • Accepted : 2019.05.27
  • Published : 2019.06.01
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Abstract

This paper deals with a ZEM (Zero-Effort-Miss) based guidance law for the interception of moving targets and characteristics of the guidance law according to time-to-go estimation methods. To derive the ZEM vector feedback guidance command, we introduce a polynomial function with unknown coefficient, and then we determine the coefficient to satisfy initial and terminal constraints. Since the directions of the guidance command and ZEM vectors are adjusted by the time-to-go, general time-to-go estimation methods are proposed, which can generate the vertical and horizontal guidance commands with respect to an arbitrary reference frame. By performing various numerical simulations, the performance and characteristics of the proposed methods are investigated.

본 논문에서는 이동표적을 요격하기 위한 ZEM(Zero-Effort-Miss) 기반의 유도법칙과 잔여시간(Time-to-go) 추정에 따른 유도명령의 특징을 살펴본다. 먼저, 가속도 명령을 미지수 계수를 포함한 잔여시간의 다항식 함수로 가정하고 이를 초기/종말 구속조건을 충족하도록 계수를 산출함으로써, 최종적으로 ZEM 벡터 되먹임 형태의 호밍 유도명령을 도출한다. 잔여시간의 추정방법에 따라 ZEM 벡터와 유도명령의 벡터방향이 결정되는 특징을 가지므로, 임의의 기준좌표계에 수직/수평하게 가속도 명령을 발생시키기 위한 일반적인 잔여시간 추정방법을 제안한다. 또한 제안한 유도법칙과 잔여시간 추정기법의 성능과 특징을 분석하기 위해 다양한 수치시뮬레이션을 수행하도록 한다.

Keywords

References

  1. Zarchan, P., "Tactical and Strategic Missile Guidance," 6th Edition, American Institute of Aeronautics and Astronautics, Reston VA, 2012.
  2. Chakravarthy, A., and Ghose, D., "Capturability of Realistic Generalized True Proportional Navigation," IEEE Transactions on Aerospace and Electronic Systems, Vol. 32, No. 1, Jan. 1996, pp. 407-418. https://doi.org/10.1109/7.481281
  3. Oh, J. H., and Ha, I. J., "Capturability of the 3-Dimensional Pure PNG Law," IEEE Transactions on Aerospace and Electronic Systems, Vol. 35, No. 2, Apr. 1999, pp. 491-503. https://doi.org/10.1109/7.766931
  4. Kim, T. H., Park, B. G., and Tahk, M. J., "Bias Shaping Method for Biased Proportional Navigation with Terminal Angle Constraint," Journal of Guidance, Control, and Dynamics, Vol. 36, No. 6, Nov. 2013, pp. 1810-1815. https://doi.org/10.2514/1.59252
  5. Lee, C. H., Kim, T. H., and Tahk, M. J., "Interception Angle Control Guidance Using Proportional Navigation with Error Feedback," Journal of Guidance, Control, and Dynamics, Vol. 36, No. 5, Sep. 2013, pp. 1556-1561. https://doi.org/10.2514/1.58454
  6. He, Y., and Qiu, Y., "THAAD-Like High Altitude Theater Missile Defense: Strategic Defense Capability and Certain Countermeasures Analysis," Science and Global Security, May 2003, pp. 151-202.
  7. Min, B. M., Tahk, M. J., et al., "Guidance law for vision-based automatic landing of UAV," International Journal of Aeronautical and Space Sciences, Vol. 8, No. 1, May 2007, pp. 46-53. https://doi.org/10.5139/IJASS.2007.8.1.046
  8. Kim, T. H., Lee, C. H., and Tahk, M. J., "Time-to-go polynomial guidance laws with terminal impact angle/acceleration constraints," In Proceedings of the 18th IFAC World Congress, Milano, Italy, Aug. 2011.