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摘要:
为有效预防飞机着陆冲出跑道事故,针对现有着陆距离预测方法在实时性和处理非线性动态过程中的局限性,提出一种基于模糊推理的飞机着陆距离混合预测算法。基于着陆过程3个动态特性各异的阶段,融合多种预测策略:在下滑阶段,使用地速矢量映射法预测;在滑跑阶段,使用轨迹解析法预测;在状态变化剧烈、难以精确建模的拉平阶段,使用基于Mamdani型模糊推理法预测。提出多工况、高保真仿真平台验证方法,可在紊流风场动态环境中实现对着陆距离的实时预测,拉平距离预测误差小于35 m,算法单次预测平均耗时小于3 ms,满足实时决策需求,为提升着陆安全裕度提供了一种可行的工程策略方法。
Abstract:A hybrid landing distance prediction algorithm based on fuzzy inference is suggested to overcome the shortcomings of current approaches in real-time performance and handling nonlinear dynamics in order to successfully prevent runway excursion incidents during aircraft landings. The method integrates multiple prediction strategies based on the three distinct dynamic phases of the landing process: during the glide phase, a ground speed vector mapping method is used for prediction; during the rollout phase, a trajectory analysis method is employed; and during the flare phase, which involves significant state changes and is difficult to model accurately, a Mamdani-type fuzzy inference method is applied. A high-fidelity simulation platform for multi-condition validation is also proposed. With a prediction inaccuracy of fewer than 35 meters during the flare phase and a computation time of less than 3 milliseconds per calculation, this platform can deliver real-time landing distance forecasts in turbulent wind environments. The proposed method meets real-time decision-making requirements and offers a feasible engineering strategy to enhance landing safety margins.
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Key words:
- landing distance /
- real-time prediction /
- fuzzy inference /
- safety enhancement /
- intelligent decision
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表 1 FIS系统输入变量模糊化(顺风紊流风场)
Table 1. Fuzzification of input variables for the FIS system (Tailwind flow field)
类别 模糊等级 隶属度函数 前向地速差值 B $ y=\text{gaussmf}\left(x,\left[10,25\right]\right) $ S $ y=\text{gaussmf}\left(x,\left[10,0\right]\right) $ 下降速度差值 B $ y=\text{gaussmf}\left(x,\left[2,5\right]\right) $ S $ y=\text{gaussmf}\left(x,\left[2,-0.5\right]\right) $ 实时距离偏差值 L3 $ y=\text{gaussmf}\left(x,\left[10,-130\right]\right) $ L2 $ y=\text{gaussmf}\left(x,\left[15,-90\right]\right) $ L1 $ y=\text{gaussmf}\left(x,\left[15,-60\right]\right) $ L0 $ y=\text{gaussmf}\left(x,\left[15,-30\right]\right) $ R0 $ y=\text{gaussmf}\left(x,\left[15,20\right]\right) $ 表 2 FIS系统输入变量模糊化(逆风紊流风场)
Table 2. Fuzzification of input variables for the FIS system (Headwind flow field)
类别 模糊等级 隶属度函数 前向地速差值 B $ y=\text{gaussmf}\left(x,\left[10,-25\right]\right) $ S $ y=\text{gaussmf}\left(x,\left[10,0\right]\right) $ 下降速度差值 B $ y=\text{gaussmf}\left(x,\left[1,-3\right]\right) $ S $ y=\text{gaussmf}\left(x,\left[1,0.5\right]\right) $ 实时距离偏差值 L2 $ y=\text{gaussmf}\left(x,\left[15,-80\right]\right) $ L1 $ y=\text{gaussmf}\left(x,\left[15,-50\right]\right) $ L0 $ y=\text{gaussmf}\left(x,\left[15,-20\right]\right) $ R0 $ y=\text{gaussmf}\left(x,\left[15,20\right]\right) $ R1 $ y=\text{gaussmf}\left(x,\left[15,50\right]\right) $ R2 $ y=\text{gaussmf}\left(x,\left[15,80\right]\right) $ 表 3 FIS系统输出变量模糊化
Table 3. Fuzzification of output variables for the FIS system
类别 模糊等级 隶属度函数 拉平距离偏移量
(顺风)L5 $ y=\text{gaussmf}\left(x,\left[10,-140\right]\right) $ L4 $ y=\text{gaussmf}\left(x,\left[10,-120\right]\right) $ L3 $ y=\text{gaussmf}\left(x,\left[10,-90\right]\right) $ L2 $ y=\text{gaussmf}\left(x,\left[10,-60\right]\right) $ L1 $ y=\text{gaussmf}\left(x,\left[10,-40\right]\right) $ L0 $ y=\text{gaussmf}\left(x,\left[10,-20\right]\right) $ R0 $ y=\text{gaussmf}\left(x,\left[10,20\right]\right) $ 拉平距离偏移量
(逆风)L2 $ y=\text{gaussmf}\left(x,\left[10,-80\right]\right) $ L1 $ y=\text{gaussmf}\left(x,\left[15,-50\right]\right) $ L0 $ y=\text{gaussmf}\left(x,\left[15,-20\right]\right) $ R0 $ y=\text{gaussmf}\left(x,\left[15,20\right]\right) $ R1 $ y=\text{gaussmf}\left(x,\left[15,50\right]\right) $ R2 $ y=\text{gaussmf}\left(x,\left[15,80\right]\right) $ 表 4 模糊系统推理规则库
Table 4. Fuzzy system inference rule base
序号 模糊等级 前向地速差值 下降速度差值 实时距离偏差值 拉平距离偏移量 1 B B R0 L1 2 B S R0 L0 3 B B R0 L1 $\vdots $ $\vdots $ $\vdots $ $\vdots $ $\vdots $ 11 S B R0 L0 12 S S R0 R0 $\vdots $ $\vdots $ $\vdots $ $\vdots $ $\vdots $ 19 S B L3 L4 20 S S L3 L3 -
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