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Pure Pursuit with an Effector

Author

Listed:
  • Alexander Moll

    (Air Force Research Laboratory, Wright-Patterson Air Force Base
    University of Cincinnati)

  • Meir Pachter

    (Air Force Institute of Technology, Wright-Patterson Air Force Base)

  • Zachariah Fuchs

    (University of Cincinnati)

Abstract

The study of pursuit curves is valuable in the context of air-to-air combat as pure pursuit guidance (heading directly at the target) is oftentimes implemented. The problems considered in this paper concern a Pursuer, implementing pure pursuit (i.e., line of sight guidance), chasing an Evader who holds course. Previous results are applicable to the case in which capture is defined as the two agents being coincident, i.e., point capture. The focus here is on obtaining results for the more realistic case where the pursuer is endowed with an effector whose range is finite. The scenario in which the Evader begins inside the Pursuer’s effector range is also considered (i.e., escape from persistent surveillance, among other potential applications). Questions herein addressed include: does the engagement end in head-on collision or tail chase, will the Evader be captured or escape, what is the minimum distance the Pursuer will attain, for two Pursuers, is simultaneous capture/escape optimal and, if so, what is the optimal heading for the Evader (max time to capture, or min time to escape), and the feasibility for a fast Evader to escape from many Pursuers. Where possible, closed-form, analytic results are obtained, otherwise attention is given to computability with an eye towards real-time, on-board implementation.

Suggested Citation

  • Alexander Moll & Meir Pachter & Zachariah Fuchs, 2023. "Pure Pursuit with an Effector," Dynamic Games and Applications, Springer, vol. 13(3), pages 961-979, September.
    • Handle: RePEc:spr:dyngam:v:13:y:2023:i:3:d:10.1007_s13235-022-00481-9
    DOI: 10.1007/s13235-022-00481-9
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    References listed on IDEAS

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    1. Sergey S. Kumkov & Stéphane Ménec & Valerii S. Patsko, 2017. "Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications," Dynamic Games and Applications, Springer, vol. 7(4), pages 609-633, December.
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    Cited by:

    1. Ruzakhon Kazimirova & Gafurjan Ibragimov & Bruno Antonio Pansera & Abdulla Ibragimov, 2024. "Multi-Pursuer and One-Evader Evasion Differential Game with Integral Constraints for an Infinite System of Binary Differential Equations," Mathematics, MDPI, vol. 12(8), pages 1-10, April.

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