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基于模糊随机微分方程的自由飞行下碰撞风险研究 被引量:16

Research on Collision Risk in Free Flight Based on Fuzzy Stochastic Differential Equations
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摘要 自由飞行是解决空中交通拥挤的一种有效方式,所以对自由飞行环境下碰撞风险进行研究尤为重要。考虑通信导航与监视(CNS)系统性能、人为因素和防撞系统性能对飞行碰撞的影响,利用随机微分方程方法建立自由飞行下碰撞风险模型。引入以上3种随机因素过程强度的模糊集,最后建立微分方程的Runge-Kutta快速解法。算例结果表明,碰撞概率的值随最小安全距离的增大而减小,验证了模型的可行性。 It was held by the authors that free flight was an effective way to solve the crowed air traffic, so research on the collision risk in free flight environment was particularly important. A model for collision risk in free flight was built using random differential equations with the effects of communication navigation and surveillance (CNS) system performance, human factors and collision avoidance system performance on the risk taken into account. Fuzzy sets of intensity values of the above three random factors were introduced. A rapid method for solving the differential equations was worked out after Runge-Kutta meth- od. The example shows that the collision probability decreases with the increase in the minimum safe dis- tance, and that the model is credible.
出处 《中国安全科学学报》 CAS CSCD 北大核心 2012年第10期14-18,共5页 China Safety Science Journal
基金 国家自然科学基金资助(71171190)
关键词 自由飞行 碰撞风险 模糊随机微分方程 模糊集 安全距离 free flight collision risk fuzzy stochastic differential equation fuzzy sets safety distance
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参考文献11

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二级参考文献63

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