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Guidance law synthesis based on a planar pursuit-evasion game solution

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Differential Games and Applications

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 119))

Abstract

Closed form solution of a coplanar pursuit-evasion game between a coasting missile and a maneuvering target of constant speed leads to express the optimal strategy of the missile as a function of the current and final values of the state variables. Based on this solution a feedback guidance law for a real time implementation is synthesized. The performance achieved by this guidance law is substantially superior to proportional navigation and only slightly worse than the optimal game strategy.

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References

  1. Guelman, M., Shinar, J., Green, A., "Qualitative Study of a Planar Pursuit Evasion Game in the Atmosphere", to be presented at the 1988 Guidance, Navigation, and Control Conference, to be held August 15–17 in Minneapolis, Minnesota.

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  2. Simakova, E.N., "The Quality Problem in Pursuit Games for Inertial Systems", Automation and Remote Control, Vol. 35, Nov. 1974, pp. 1716–1724.

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  3. Prasad, U.R., Rajan, N., Rao, N.J., "Planar Pursuit-Evasion with Variable Speeds, Part 1, Extremal Trajectory Maps", Journal of Optimization Theory and Applications, Vol. 33, No. 3, March 1981, pp. 401–418.

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  4. Guelman, M., "Proportional Navigation with a Maneuvering Target", IEEE Transactions on Aerospace and Electronic Systems, Vol. AES8, May 1977, pp. 364–371.

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  5. Shinar, J., "State Dependent Optimality of a Singular Subarc", Automatica, Vol. 24, March 1988.

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Author information

Authors and Affiliations

  1. Faculty of Aeronautical Engineering, Technion - Israel Institute of Technology, Haifa, Israel

    A. Green (Graduate student)

  2. Faculty of Aeronautical Engineering - Technion - Israel, Institute of Technology, Haifa, Israel

    J. Shinar (Professor, Associate Fellow AIAA)

  3. Guidance Division, RAFAEL, M.O.D., P.O. Box 2250, Haifa, Israel

    M. Guelman (Deputy Director)

Authors
  1. A. Green
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  2. J. Shinar
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  3. M. Guelman
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Editor information

Tamer S. Başar Pierre Bernhard

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© 1989 Springer-Verlag

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Green, A., Shinar, J., Guelman, M. (1989). Guidance law synthesis based on a planar pursuit-evasion game solution. In: Başar, T.S., Bernhard, P. (eds) Differential Games and Applications. Lecture Notes in Control and Information Sciences, vol 119. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004266

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  • DOI: https://doi.org/10.1007/BFb0004266

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50758-1

  • Online ISBN: 978-3-540-46079-4

  • eBook Packages: Springer Book Archive

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