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    机动目标拦截器的信息模式分析

    Information Pattern Analysis of Maneuvering Target Interceptor

    • 摘要: 采用追逃微分对策理论描述大机动目标拦截问题,从分析拦截器的信息模式入手来研究微分对策解的结构形式. 在给出追逃微分对策问题信息模式相关概念的规范化描述后,结合典型场景分析了拦截器的信息模式,表明大机动条件下拦截器的信息模式为无共享模式;随后证明了当目标机动满足“模式可检测性”条件时无共享模式等价于控制量延迟共享模式;最后给出了控制量延迟共享模式下微分对策解的结构, 并证明了最优解条件下微分对策值与信息模式延迟间的单调性定理,为提高机动目标拦截性能指明了研究方向.

       

      Abstract: An interception scenario of a highly maneuvering target is formulated as a stochastic pursuit-evasion differential game, the information pattern of which has some essential effects on the solution structure of problems. Through analyzing the information pattern of a highly maneuvering target interceptor, the solution structure of the differential games and its relationship with the information pattern are studied and revealed in this paper. Firstly, the definition of information pattern and its related concepts are regularized, and the information pattern of the interceptor is analyzed, too. The conclusion shows that the interceptor has a no sharing pattern under the typical scenario of highly maneuvering target interception. Therefore, the estimation problem of the interception is a hybrid estimation. Then the equivalence between no sharing pattern and control-delayed sharing pattern is proved when the maneuver of evader is satisfied with the observability condition. Finally, the theorems about the information pattern and the solution of the differential games under control-delayed sharing pattern are also proved. Especially, the theorem, which shows the value of differential games has the monotonic increasing relationship with the delay of the control-delayed sharing pattern and called monotonic theorem in the paper, is proved, too. This work reveals the direction for improving the homing accuracy.

       

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