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Salvo Enhanced No Escape Zone

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Advances in Dynamic Games

Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 12))

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Abstract

This project proposes an innovative algorithm for designing target allocation strategies and missile guidance laws for air defense applications. This algorithm is localized in the control station of the area to protect; i.e. runs in a centralized manner. It has been optimized according to cooperative principles in a way to increase the defense team performances, which are interception of all threats and interception as soon as possible. Scenarios in naval and ground context have been defined for performance analysis by comparison to a benchmark target allocation policy. The cooperative target allocation algorithm is based on the following features: No Escape Zones (differential game NEZ) computation to characterize the defending missile capturability characteristics; In Flight (re) Allocation (IFA algorithm, late committal guidance) capability to deal with target priority management and pop up threats; capability to generate and counter alternative target assumptions based on concurrent beliefs of future target behaviors, i.e. Salvo Enhanced No Escape Zone (SENEZ) algorithm. The target trajectory generation has been performed using goal oriented trajectory extrapolation techniques. The target allocation procedure is based on minimax strategy computation in matrix games.

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References

  1. Basar, T., Olsder, G.J.: Dynamic Non Cooperative Game Theory, 2nd ed. CLASSICS in Applied Mathematics, CL 23, Society for Industrial and Applied Mathematics, Philadelphia, ISBN 978-0-89871-429-6 (1999)

    Google Scholar 

  2. Bessière, P. and the BIBA – INRIA Research Group – Projet CYBERMOVE: Survey – Probabilistic Methodology and Techniques for Artefact Conception and Development, INRIA Research Report No. 4730, ISSN 0249-6399 ISRN INRIA/RR-4730-FR+ENG (February 2003)

    Google Scholar 

  3. Dionne, D., Michalska, H., Rabbath, C.-A.: Predictive guidance for pursuit-evasion engagements involving multiple decoys. J. Guidance Control Dyn. 30(5), 1277–1286 (2007)

    Article  Google Scholar 

  4. Farinelli, A., Rogers, A., Petcu A., Jennings, N.-R.: Decentralised coordination of low-power embedded devices using the max-sum algorithm. In: Padgham, Parkes, Müller, Parsons (eds.) Proceedings of the 7th International Conference on Autonomous Agents and Multiagent Systems, AAMAS-08, May 12–16, 2008, Estoril, Portugal, pp. 639–646 (2008)

    Google Scholar 

  5. Ganebny, S.A., Kumkov, S.S., Le Ménec, S., Patsko, V.S.: Numerical study of two-on-one pursuit-evasion game. In: Preprints of the 18th IFAC World Congress, Milano, Italy, August 28–September 2, 2011, pp. 9326–9333 (2011)

    Google Scholar 

  6. Ge, J., Tang, L., Reimann, J., Vachtsevanos, G.: Suboptimal approaches to multiplayer pursuit-evasion differential games. In: AIAA 2006–676 Guidance, Navigation, and Control Conference, August 21–24, 2006, Keystone, Colorado (2006)

    Google Scholar 

  7. Isaacs, R.: Differential Games, a Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization. Wiley, New York (1965)

    MATH  Google Scholar 

  8. Jang, J.S., Tomlin C..: Control strategies in multi-player pursuit and evasion game. In: AIAA 2005-6239 Guidance, Navigation, and Control Conference, August 15–18, 2005, San Francisco, California (2005)

    Google Scholar 

  9. Le Ménec, S.: Cooperative mid course guidance law based on attainability constrains: invited session: advanced methods for the guidance and control of autonomous vehicles. In: Proceedings of the European Control Conference, August 23–26, 2009, Hungary, MoA3.5, pp. 127–131, ISBN 978-963-311-369-1 (2009)

    Google Scholar 

  10. Le Ménec, S.: Linear differential game with two pursuers and one evader. In: Breton M., Szajowski, K. (eds.) Annals of the International Society of Dynamic Games, Advances in Dynamic Games, Theory, Applications, and Numerical Methods for Differential and Stochastic Games. Birkhäuser, Springer, New York, ISBN 978-0-8176-8088-6 (2011)

    Google Scholar 

  11. Le Ménec, S., Shin, H.-S., Tsourdos, A., White, B., Zbikowski, R., Markham K.: Cooperative missile guidance strategies for maritime area air defense. In: 1st IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys09), 24–26 September 2009, Venice, Italy (2009)

    Google Scholar 

  12. Shima, T., Shinar, J., Weiss, H.: New interceptor guidance law integrating time-varying and estimation-delay models. J. Guidance Control Dyn. 26(2), 295–303 (2003)

    Article  Google Scholar 

  13. Shin, H.-S., Le Ménec, S., Tsourdos, A., Markham, K., White, B., Zbikowski, R.: Cooperative guidance for naval area defence. In: 18th IFAC Symposium on Automatic Control in Aerospace, September 6–10, 2010, Nara, Japan (2010)

    Google Scholar 

  14. Shin, H.-S., Piet-Lahanier, H., Tsourdos, A., Le Ménec, S., Markham K., White B.-A.: Membership set-based mid course guidance: application to manoeuvring target interception. In: Preprints of the 18th IFAC World Congress, August 28–September 2, 2011 Milano, Italy, pp. 3903–3908 (2011)

    Google Scholar 

  15. Shin, H.-S., Tsourdos, A., Le Ménec, S., Markham, K., White, B.: Cooperative mid course guidance for area air defence. In: AIAA 2010–8056 Guidance, Navigation and Control, August 2–5, 2010, Toronto, Ontario, Canada (2010)

    Google Scholar 

  16. Shinar, J., Shima, T.: Non-orthodox guidance law development approach for the interception of maneuvering anti-surface missiles. J. Guidance Control Dyn. 25(4), 658–666 (2002)

    Article  Google Scholar 

  17. Zarchan, P.: Tactical and Strategic Missile Guidance, Progress in Astronautics and Aeronautics, vol. 219, 5th revised ed. (2007)

    Google Scholar 

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Acknowledgements

This work was funded by the French—UK Materials and Components for Missiles—Innovation and Technology Partnership (MCM ITP) research programme.

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Correspondence to Stéphane Le Ménec .

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Le Ménec, S. (2013). Salvo Enhanced No Escape Zone. In: Cardaliaguet, P., Cressman, R. (eds) Advances in Dynamic Games. Annals of the International Society of Dynamic Games, vol 12. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8355-9_15

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