Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
156 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Defending a Static Target Point with a Slow Defender (2311.03338v2)

Published 6 Nov 2023 in eess.SY and cs.SY

Abstract: This paper studies a target-defense game played between a slow defender and a fast attacker. The attacker wins the game if it reaches the target while avoiding the defender's capture disk. The defender wins the game by preventing the attacker from reaching the target, which includes reaching the target and containing it in the capture disk. Depending on the initial condition, the attacker must circumnavigate the defender's capture disk, resulting in a constrained trajectory. This condition produces three phases of the game, which we analyze to solve for the game of kind. We provide the barrier surface that divides the state space into attacker-win and defender win regions, and present the corresponding strategies that guarantee win for each region. Numerical experiments demonstrate the theoretical results as well as the efficacy of the proposed strategies.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (20)
  1. A. Von Moll, D. Shishika, Z. Fuchs, and M. Dorothy, “The turret-runner-penetrator differential game,” in 2021 American Control Conf. (ACC).   IEEE, 2021, pp. 3202–3209.
  2. I. E. Weintraub, M. Pachter, and E. Garcia, “An introduction to pursuit-evasion differential games,” in 2020 American Control Conf. (ACC).   IEEE, 2020, pp. 1049–1066.
  3. M. Pachter, D. W. Casbeer, and E. Garcia, “Capture-the-flag: A differential game,” in 2020 IEEE Conference on Control Technology and Applications (CCTA).   IEEE, 2020, pp. 606–610.
  4. D. Shishika, D. Maity, and M. Dorothy, “Partial info. target defense game,” in 2021 IEEE Inter. Conf. on Robotics and Automation (ICRA).   IEEE, 2021, pp. 8111–8117.
  5. M. Pachter, E. Garcia, and D. W. Casbeer, “Toward a solution of the active target defense differential game,” Dynamic Games and Applications, vol. 9, pp. 165–216, 2019.
  6. A. Von Moll, E. Garcia, D. Casbeer, M. Suresh, and S. C. Swar, “Multiple-pursuer, single-evader border defense differential game,” Journ. of Aerospace Info. Syst., vol. 17, no. 8, pp. 407–416, 2020.
  7. G. Das and D. Shishika, “Guarding a translating line with an attached defender,” in 2022 American Control Conference (ACC).   IEEE, 2022, pp. 4436–4442.
  8. D. Shishika and V. Kumar, “Perimeter-defense game on arbitrary convex shapes,” arXiv preprint arXiv:1909.03989, 2019.
  9. Y. Lee and E. Bakolas, “Guarding a convex target set from an attacker in euclidean spaces,” IEEE Control Syst. Lett., vol. 6, pp. 1706–1711, 2021.
  10. A. Pourghorban and D. Maity, “Target defense against periodically arriving intruders,” arXiv preprint arXiv:2303.05577, 2023.
  11. E. Garcia, D. W. Casbeer, A. Von Moll, and M. Pachter, “Multiple pursuer multiple evader differential games,” IEEE Trans. on Automatic Control, vol. 66, no. 5, pp. 2345–2350, 2021.
  12. E. Garcia and S. D. Bopardikar, “Cooperative containment of a high-speed evader,” in 2021 American control Conf. (ACC).   IEEE, 2021, pp. 4698–4703.
  13. M. Ramana and M. Kothari, “A cooperative pursuit-evasion game of a high speed evader,” in 2015 54th IEEE Conf. on Decision and Control (CDC).   IEEE, 2015, pp. 2969–2974.
  14. T. R. Vechalapu, “A trapping pursuit strategy for capturing a high speed evader,” in AIAA Scitech 2020 forum, 2020, p. 2069.
  15. X. Fang, C. Wang, L. Xie, and J. Chen, “Cooperative pursuit with multi-pursuer and one faster free-moving evader,” IEEE Trans. on Cyber., vol. 52, no. 3, pp. 1405–1414, 2020.
  16. E. Garcia, “Cooperative target protection from a superior attacker,” Automatica, vol. 131, p. 109696, 2021.
  17. M. Pachter, D. W. Casbeer, and E. Garcia, “Strategies for target defense from a fast attacker,” in 2022 IEEE Conf. on Control Tech. and Applications (CCTA).   IEEE, 2022, pp. 233–238.
  18. H. Fu and H. H.-T. Liu, “Defending a target area with a slower defender,” IEEE Control Syst. Lett., vol. 7, pp. 661–666, 2022.
  19. ——, “Optimal solution of a target defense game with two defenders and a faster intrude,” Unmanned Syst., vol. 9, no. 03, pp. 247–262, 2021.
  20. P. Hagedorn and J. Breakwell, “A differential game with two pursuers and one evader,” Journ. of Optimization Theory and Applications, vol. 18, pp. 15–29, 1976.
Citations (1)

Summary

We haven't generated a summary for this paper yet.