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首页> 外文期刊>Journal of guidance, control, and dynamics >Family of Local Solutions in a Missile-Aircraft Differential Game
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Family of Local Solutions in a Missile-Aircraft Differential Game

机译：导弹飞机差分游戏中的本地解决方案族

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To date many studies of missile and aircraft differential games seem to have tried to find a unique solution, however, the authors of this study found there are many solutions of comparable values to the game. The authors called them "a family of local solutions." This paper shows a method to find the family for a missile and an aircraft differential game, which minimizes and maximizes the essential payoff of the problem, the miss distance, without employing any linearized approximation. For this purpose, the authors introduced the concept of energy maneuverability. The sets of optimal terminal surfaces of both vehicles that maximize their velocities are obtained first. Next, minimax solutions of the vehicles that start from these terminal surfaces, and minimize and maximize the miss distance, respectively, are calculated; then a local minimax family in this game is obtained. The proposed method can solve minimax problems under several vehicles' acceleration constraints. The results may be able to be incorporated into an actual missile guidance system as a knowledge base, and then the performance will be significantly improved.
机译：迄今为止，许多导弹和飞机差分游戏的研究似乎都试图找到一种独特的解决方案，但是，这项研究的作者发现，有许多解决方案具有与游戏可比的价值。作者称它们为“本地解决方案家族”。本文介绍了一种寻找导弹和飞机差动游戏族的方法，该方法可以在不采用任何线性近似的情况下最小化和最大化问题的基本收益（错过距离）。为此，作者介绍了能量可操纵性的概念。首先获得两个车辆的最大化其速度的最佳终端表面的集合。接下来，计算从这些终端表面开始的车辆的minimax解，分别最小化和最大化未命中距离；然后获得该游戏中的本地minimax家庭。所提出的方法可以解决几种车辆加速度约束下的极小极大问题。结果可能能够作为知识基础并入实际的导弹制导系统中，然后性能将得到显着改善。

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