access icon free Active target defence differential game: fast defender case

© US Government
Received 04/04/2017, Accepted 22/08/2017, Revised 26/07/2017, Published 24/08/2017

A particularproblem in aerospace control and applications is the active target defence differential game (ATDDG), where an attacker missile tries to capture a target aircraft which is significantly slower than the attacker. A third agent is a defender missile which is fired by the Target's wingman. The defender's mission is to intercept the attacker in time to enable a successful target evasion and its survival. The problem is naturally posed as a zero-sum DG. The target and the defender form a team; their objective is to determine a cooperative strategy to maximise the terminal separation between the target aircraft and the point where the Attacker missile is intercepted by the Defender missile. The Attacker is the opposition and its task is to devise its own strategy to minimise the same terminal distance. The solution of the ATDDG provides the instantaneous optimal heading angles for each agent playing the game in order to achieve their objectives. Most importantly, the agents' strategies are state feedback laws. The assumption of simple motion dynamics of the agents yields their optimal headings which is adequate in a beyond visual range engagement, as it is currently envisioned to be the pertinent operational scenario.

Inspec keywords: missile control; differential games; aircraft control

Other keywords: zero-sum DG; terminal distance minimisation; ATDDG; target wingman; instantaneous optimal heading angles; active target defence differential game; aerospace control; state feedback laws; agent strategies; defender missile; attacker missile; defender mission; terminal separation maximisation; optimal headings; visual range engagement; motion dynamics; pertinent operational headings; cooperative strategy

Subjects: Military control systems; Aerospace control; Game theory

References

    1. 1)
      • 7. Boyell, R.L.: ‘Counter weapon aiming for defence of a moving target’, IEEE Trans. Aerosp. Electron. Syst., 1980, AES-16, (3), pp. 402–408.
    2. 2)
      • 20. Shaferman, V., Shima, T.: ‘Cooperative multiple-model adaptive guidance for an aircraft defending missile’, J. Guid. Control Dyn., 2010, 33, (6), pp. 1801–1813.
    3. 3)
      • 14. Yamasaki, T., Balakrishnan, S.N., Takano, H.: ‘Modified command to line-of-sight intercept guidance for aircraft defense’, J. Guid. Control Dyn., 2013, 36, (3), pp. 898–902.
    4. 4)
      • 13. Yamasaki, T., Balakrishnan, S.N.: ‘Triangle intercept guidance for aerial defense’. AIAA Guid. Navig. Control Conf., 2010.
    5. 5)
      • 23. Garcia, E., Casbeer, D.W., Pachter, M.: ‘Active target defense using first order missile models’, Automatica, 2017, 78, pp. 139–143.
    6. 6)
      • 24. Garcia, E., Casbeer, D.W., Pham, K., et al.: ‘Cooperative aircraft defense from an attacking missile using proportional navigation’. 2015 AIAA Guidance, Navigation, and Control Conf., Paper AIAA 2015-0337, 2015.
    7. 7)
      • 26. Garcia, E., Casbeer, D.W., Pachter, M.: ‘Cooperative strategies for optimal aircraft defense from an attacking missile’, J. Guid. Control Dyn., 2015, 38, (8), pp. 1510–1520.
    8. 8)
      • 1. Huang, H., Zhang, W., Ding, J., et al.: ‘Guaranteed decentralized pursuit-evasion in the plane with multiple pursuers’. 50th IEEE Conf. Decision and Control and European Control Conf., 2011, pp. 4835–4840.
    9. 9)
      • 8. Zarchan, P.: ‘Tactical and strategic missile guidance’, vol. 176 (AIAA Progress in Aeronautics and Astronautics, Reston, VA, 1997).
    10. 10)
      • 18. Ratnoo, A., Shima, T.: ‘Guidance strategies against defended aerial targets’, J. Guid. Control Dyn., 2012, 35, (4), pp. 1059–1068.
    11. 11)
      • 17. Rusnak, I., Weiss, H., Hexner, G.: ‘Guidance laws in target-missile-defender scenario with an aggressive defender’. Proc. 18th IFAC World Congress, vol. 18, 2011, pp. 9349–9354.
    12. 12)
      • 4. Fuchs, Z.E., Khargonekar, P.P., Evers, J.: ‘Cooperative defense within a single-pursuer, two-evader pursuit evasion differential game’. 49th IEEE Conf. Decision and Control, 2010, pp. 3091–3097.
    13. 13)
      • 27. Garcia, E., Casbeer, D.W., Pachter, M.: ‘Active target defense differential game with a fast defender’. American Control Conf., 2015, pp. 3752–3757.
    14. 14)
      • 11. Rubinsky, S., Gutman, S.: ‘Three body guaranteed pursuit and evasion’. AIAA Guidance, Navigation, and Control Conf., 2012, pp. 1–24.
    15. 15)
      • 16. Rusnak, I.: ‘The lady, the bandits, and the bodyguards–a two team dynamic game’. Proc. 16th World IFAC Congress, 2005.
    16. 16)
      • 5. Oyler, D.W., Kabamba, P.T., Girard, A.R.: ‘Pursuit-evasion games in the presence of a line segment obstacle’. IEEE Conf. Decision and Control, 2014, pp. 1149–1154.
    17. 17)
      • 10. Ratnoo, A., Shima, T.: ‘Line-of-sight interceptor guidance for defending an aircraft’, J. Guid. Control Dyn., 2011, 34, (2), pp. 522–532.
    18. 18)
      • 25. Pachter, M., Garcia, E., Casbeer, D.W.: ‘Active target defense differential game’. 52nd Annual Allerton Conf. Communication, Control, and Computing, 2014, pp. 46–53.
    19. 19)
      • 2. Pham, K.: ‘Risk-averse based paradigms for uncertainty forecast and management in differential games of persistent disruptions and denials’. American Control Conf., 2010, pp. 842–849.
    20. 20)
      • 28. Isaacs, R.: ‘Differential games’ (Wiley, New York, 1965).
    21. 21)
      • 22. Garcia, E., Casbeer, D.W., Pham, K., et al.: ‘Cooperative aircraft defense from an attacking missile’. 53rd IEEE Conf. Decision and Control, 2014, pp. 2926–2931.
    22. 22)
      • 19. Shima, T.: ‘Optimal cooperative pursuit and evasion strategies against a homing missile’, J. Guid. Control Dyn., 2011, 34, (2), pp. 414–425.
    23. 23)
      • 21. Prokopov, O., Shima, T.: ‘Linear quadratic optimal cooperative strategies for active aircraft protection’, J. Guid. Control Dyn., 2013, 36, (3), pp. 753–764.
    24. 24)
      • 9. Siouris, G.: ‘Missile guidance and control systems’ (Springer, New York, 2004).
    25. 25)
      • 12. Rubinsky, S., Gutman, S.: ‘Three-player pursuit and evasion conflict’, J. Guid. Control Dyn., 2014, 37, (1), pp. 98–110.
    26. 26)
      • 3. Bakolas, E., Tsiotras, P.: ‘Optim pursuit of moving targets using dynamic Voronoi diagrams’. 49th IEEE Conf. Decision and Control, 2010, pp. 7431–7436.
    27. 27)
      • 6. Boyell, R.L.: ‘Defending a moving target against missile or torpedo attack’, IEEE Trans. Aerosp. Electron. Syst., 1976, AES-12, (4), pp. 522–526.
    28. 28)
      • 15. Perelman, A., Shima, T., Rusnak, I.: ‘Cooperative differential games strategies for active aircraft protection from a homing missile’, J. Guid. Control Dyn., 2011, 34, (3), pp. 761–773.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2017.0302
Loading

Related content

content/journals/10.1049/iet-cta.2017.0302
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading