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Cooperative Differential Games Strategies for Active Aircraft Protection from a Homing Missile

机译：主动制导导弹防御导弹的合作差分博弈策略

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摘要

Cooperative pursuit-evasion strategies are derived for a team composed of two agents. The specific problem of interest is that of protecting a target aircraft from a homing missile. The target aircraft performs evasive maneuvers and launches a defending missile to intercept the homing missile. The problem is analyzed using a linear quadratic differential game formulation for arbitrary-order linear players' dynamics in the continuous and discrete domains. Perfect information is assumed. The analytic continuous and numeric discrete solutions are presented for zero-lag adversaries' dynamics. The solution of the game provides 1) the optimal cooperative evasion strategy for the target aircraft, 2) the optimal cooperative pursuit strategy for the defending missile, and 3) the optimal strategy of the homing missile for pursuing the target aircraft and for evading the defender missile. The obtained guidance laws are dependent on the zero-effort miss distances of two pursuer-evader pairs: homing missile with target aircraft and defender missile with homing missile. Conditions for the existence of a saddle-point solution are derived and the navigation gains are analyzed for various limiting cases. Nonlinear two-dimensional simulation results are used to validate the theoretical analysis. The advantages of cooperation are shown. Compared with a conventional one-on-one guidance law, cooperation significantly reduces the maneuverability requirements from the defending missile.
机译：合作逃避策略是针对由两个特工组成的团队而制定的。感兴趣的特定问题是保护目标飞机免受制导导弹的攻击。目标飞机执行躲避动作并发射防御导弹以拦截寻的导弹。使用线性二次微分博弈公式对连续和离散域中任意阶线性玩家的动力学进行分析。假定有完美的信息。给出了零滞后对手动力学的解析连续和数值离散解。该游戏的解决方案提供了1）针对目标飞机的最优协同躲避策略，2）针对防御导弹的最优协同追击策略，以及3）用于追击目标飞机并躲避防御者的寻的导弹的最优策略。导弹。所获得的制导律取决于两个追击逃避者对的零努力失误距离：目标飞机的制导导弹和导弹的制导防御导弹。得出存在鞍点解的条件，并分析了各种极限情况下的导航增益。非线性二维仿真结果用于验证理论分析。显示了合作的优势。与传统的一对一制导法相比，合作大大降低了防御导弹对机动性的要求。

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  • 来源
    《Journal of guidance, control, and dynamics》 |2011年第3期|p.761-773|共13页
  • 作者

    Andrey Perelman; Tal Shima; Ilan Rusnak;

  • 作者单位

    Technion-Israel Institute of Technology, Haifa 32000, Israel,Faculty of Aerospace Engineering;

    Technion-Israel Institute of Technology, Haifa 32000, Israel,Faculty of Aerospace Engineering;

    RAFAEL-Advanced Defence Systems, Ltd., Haifa 31021, Israel;

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