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Capture Conditions in a Pursuit-Evasion Game between Players with Biproper Dynamics1

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Abstract

Capture conditions in a planar pursuit-evasion game between a guided missile and its aerial target, each having either forward control or tail control, are derived analytically. The adversaries closed-loop maneuver dynamics are represented by first-order biproper transfer functions. A distinction is made between open and closed capture zones in the reduced-order game space. It is shown that locating the control surface forward, instead of aft, provides considerable advantages with regard to the existence and size of different capture zones. A new game space decomposition with two singular regions is also presented and the conditions for its existence are given.

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Authors and Affiliations

  1. System Engineer, RAFAEL, Haifa, Israel

    T. Shima

  2. Air Vehicles Directorate, Air Force Research Laboratories, Wright-Patterson AFB, Ohio, USA

    T. Shima

Authors
  1. T. Shima
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J. Shinar

The author expresses his gratitude to the anonymous reviewers for the thorough reading of the paper and helpful comments.

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Shima, T. Capture Conditions in a Pursuit-Evasion Game between Players with Biproper Dynamics1. J Optim Theory Appl 126, 503–528 (2005). https://doi.org/10.1007/s10957-005-5495-3

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  • DOI: https://doi.org/10.1007/s10957-005-5495-3

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