Modeling and Simulation of Acquisition Probability Model for Terminal Guidance of Anti-Torpedo Torpedo
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摘要: 建立了一种反鱼雷鱼雷(ATT)末制导捕获概率数学模型。通过分析末制导交班时刻ATT和来袭鱼雷的位置误差,将捕获概率问题描述成一个二重概率密度函数在导引头自导扇面内的积分问题,对积分区域进行近似化简,得到了一个与位置误差、自导作用距离、雷目距离和自导扇面角4个变量有关的ATT捕获概率解析表达式。最后通过仿真定量分析了上述4个变量对ATT捕获概率的影响。Abstract: An analytical model of acquisition probability for terminal guidance of anti-torpedo torpedo (ATT) is established. Firstly, by considering the position error between an ATT and an incoming torpedo at the moment when midcourse guidance changes over to terminal guidance, the acquisition probability is described as an double integration of the probability density function in the domain determined by homing sector angle and homing range. The integration area is approximated to a rectangle. Then, an analytical expression of ATT′s acquisition probability, which relates to the position error between ATT and target, the distance from ATT to target, the ATT homing range, and the homing sector angle, is deduced. The effects of these four variables on ATT acquisition probability are analyzed quantitatively via simulation.
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Key words:
- anti-torpedo torpedo /
- terminal guidance /
- acquisition probability /
- probability integral
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